1
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- I
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : fooj.kkRed lkaf[;dh ¼izFke iz�ui=½fooj.kkRed lkaf[;dh ¼izFke iz�ui=½fooj.kkRed lkaf[;dh ¼izFke iz�ui=½fooj.kkRed lkaf[;dh ¼izFke iz�ui=½
Semester : I ( 101) vf/kdre vad % 50
bdkbZ &,d % lkaf[;dh dh ifjHkk"kk] {ks= vkSj lhek,aA lakf[;adh lef"V ,oa lef"V ls fy,
x, U;kn�kZ%A leadks ds izdkj ¼lrr~ vlrr~ vokLrfod vkSj Øelwpd lead½
fofHkUu izdkj dh ekiuh&vkokLrfod ØelwpdA
bdkbZ & nks % izkFkfed ,oa f}fr;d lead] ladyu dh fof/k;kWa ¼izkFkfed ,oa f}fr;d lead½
vuqlwph ,oa iz�ukoyh dh jpuk] iw.kZ lax.kuk ,oa Hkkjrh; tux.kuk dh lkekU;
tkudkjhA
bdkbZ & rhu % lkaf[;dh; ds dk;Z ¼ leadks dk oxhZdj.k ,oa lkj.kh;u½ leadks dk fp=e; ,oa
fcUnqjsf[k; izn�kZu A
bdkbZ & pkj % ifjek.kkRed vkadMksa dk fo�ys"k.k & dsanzh; izo`fRr ,oa vifdj.k ds ekiA
bdkbZ & ikWp % fo"kerk vkSj dqdqnrk rFkk muds os eki v/kw.kZ] 'ksikMZ dk la�kks/ku A
lanHkZ iqLrds %
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics
Sultan chand & Co.
2. B L Agrawal Basic Statistics New Age 3- ch-,y-vxzoky Lkaf[;dh fof/k;ka
4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk
vdkneh
2
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Class : B.A. / B.Sc. � I
Subject: Statistics
Paper Title : Descriptive Statistics ( Paper I)
Semester : I ( 101)
Max Marks : 50
Unit � I
Definition scope and limitation of statistics. Statistical population and sample from a population. Types of
data,(Discrete, continous, nomial and ordinal data) Different types of scales � Nominal and Ordinal.
Unit � II
Primary and secondary data. Methods of collecting Primary and secondary data. Designing questionnaires
and schedules. Complete enumeration and general idea of Indian Census.
Unit � III
Functions of statistics ( Classification and tabulation of data) Diagrammatic and graphical presentation of
data.
Unit � IV
Analysis of quantitative data � measures of location and dispersion.
Unit � V
Skewness, Kurtosis and their measures, Moments. Sheppard�s correction.
Books �
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan
chand & Co.
2. B L Agrawal Basic Statistics New Age
3- ch-,y-vxzoky Lkaf[;dh fof/k;ka
4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
3
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- I
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : izkf;drk fl)kar ¼f}rh; iz;ui=½izkf;drk fl)kar ¼f}rh; iz;ui=½izkf;drk fl)kar ¼f}rh; iz;ui=½izkf;drk fl)kar ¼f}rh; iz;ui=½
Semester : I ( 102) vf/kdre vad % 50
bdkbZ &,d % izkf;drk dh vo/kkj.kk % izk;fdrk dh ifjHkk"kk] lkaf[;dh ,oa fpjlEer] ØsEkj
,oa dksykeksxksjko dk vuqxeu vkSj muds xq.k nks"k A izkf;drk dh lk/kkj.k
leL;kvksa dh x.kukA
bdkbZ & nks % izk;fdrk dh ledsfrd ifjHkk"kk] ijh{k.k izfrn�kZ fcUnq vkSj izfrn�kZ lef"V]
?kVuk,a vkSj muds vkijs�kUl leku :i ls ijLij viothZ ?kVuk,a vkSj Lora=
?kVuk,a A izkf;drk dh fo�ks"krk,aA lizfrca/k izkf;drk ,oa cst izes; mRrifr ds
lkFkA
bdkbZ & rhu % ;kn`fPNd pj & vlarr ;kn`fPNd pj izkf;drk Qyu] ek=k Qyu larr
;kn`fPNd pj]] izkf;drk ?kuRo Qyu] ;kn`fPNd pj dh xf.krh; izR;k{kk vkSj
muds xq.kA
bdkbZ & pkj % vk/kw.kZ ,oa v?kw.kZ tud Qyu vkSj mudh xq.k ,oa ,I;ksx] xf.krh; izR;k{kk ds
lkFk ¼ek/; dh ekisaA vifdj.k dh ekisaA fo"kerk ,oa ddqnrk dk ekisaA
bdkbZ & ikWp % vlarr izkf;drk caVu vkSj muds xq.k ]A f}in caVu] Iokalka caVu] vfrxq.kksRrj
caVu _.kkRed f}in caVuA
lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan
chand & Co.
2. B L Agrawal Basic Statistics New Age
3- ch-,y-vxzoky Lkaf[;dh fof/k;ka
4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
4
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Class : B.A. / B.Sc. � I
Subject: Statistics
Paper Title : Probability Theory Paper - II
Semester : I (102)
Max Marks : 50
Unit � I
Concepts in Probability � Definition of probability. Classical, relative, Chramer and kolmogorov approaches their merits and demerits. Computation of simple problems of probability.
Unit � II
Axiomatic definition of probability, trials, sample point and sample space. Events and their operation. Mutually exclusive, exhaustive equally likely and independent events. Properties of probability. Conditional probability and Bayes� theorem ( with proof)
Unit � III
Random variables � discrete random variable and probability mass function. Continuous random variables and probability density function, mathematical expectation of random variable and its properties.
Unit � IV
Moments and moment generating function their properties and uses. Measures of location � dispersion skewness and kurtosis through mathematical expectations.
Unit � V
Discrete probability distribution and their properties Binomial, Poisson, Hypergeomatric and Negative, Binomial distribution. lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan
chand & Co.
2. B L Agrawal Basic Statistics New Age
3- ch-,y-vxzoky Lkaf[;dh fof/k;ka
4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
5
dsUnzh; v/;;u eaMy }kjk vuqdsUnzh; v/;;u eaMy }kjk vuqdsUnzh; v/;;u eaMy }kjk vuqdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk
d{kk % Lukrd izFked{kk % Lukrd izFked{kk % Lukrd izFked{kk % Lukrd izFke fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh
l-Ø- Lk= iz'ui= iz'ui= dj 'kh"kZd vf/kdre vad dqy ;ksx
1 izFke l= izFke fooj.kkRed lkaf[;dh fooj.kkRed lkaf[;dh fooj.kkRed lkaf[;dh fooj.kkRed lkaf[;dh ¼101½ 50
f}rh; izkf;drk fl)kar izkf;drk fl)kar izkf;drk fl)kar izkf;drk fl)kar ¼102½ 50 100
izk;ksfxd 50
ifj;kstuk 50 100
ifj;kstuk %
• dk;Z dk ewY;kadu izFke l= esa 50 vad ds fy, gksxk rFkk f}rh; l= esa 50 vad
ds fy, gksxkA
• fo|kFkhZ dks ifj;kstuk dk izfrosnu tek djuk gksxkA lkFk gh ftl laLFkku esa
ifj;kstuk ij dk;Z fd;k x;k gSA mldk izek.k i= Hkh izfrosnu esa layXu djuk
gksxkA
• izFke l= esa ifj;kstuk dk ewY;akdu vkUrfjd ijh{kd }kjk fd;k tk,xk rFkk
f}rh; l=h; ifj;kstuk dk ewY;akdu ckg~; ijh{kd ds lg;ksx ls vkarfjd
ijh{kd }kjk fd;k tk,xkA
6
Scheme of Practical Examination
1. There will be one Practical paper of four hours duration.
2. Total marks � 50
a. One major experiment of 16 marks
b. Two minor experiments each of 10 marks
c. Sessional marks based on record � 8 marks
d. Viva � Voice � 6 marks
izk;ksfxd dk;Z ewY;kadu ;kstukizk;ksfxd dk;Z ewY;kadu ;kstukizk;ksfxd dk;Z ewY;kadu ;kstukizk;ksfxd dk;Z ewY;kadu ;kstuk 1- pkj ?kaVksa dk ,d izk;ksfxd iz�ui= gksxkA
2- iw.kkZad - 50
,d estj iz;ksx 16 vad
nks ekbuj iz;ksx 10 vad
Izk;ksfxd fjdkMZ 8 vad
ekSf[kd iz�uksRrj 6 vad
7
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- I
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : caVu fl)kar ¼izFke iz�ui=½caVu fl)kar ¼izFke iz�ui=½caVu fl)kar ¼izFke iz�ui=½caVu fl)kar ¼izFke iz�ui=½
Semester : II (201) vf/kdre vad % 50
bdkbZ & ,d % lrr izkf;drk caVu muds xq.k vkSj mi;ksx& ,d leku] izlkekU; vkSj dkW�kh
caVu A
bdkbZ & nks % ykIykl] pj?kkrkadh caVu] dkbZ&oxZ] chVk ,oa xkek caVu rFkk muds xq.kA
bdkbZ & rhu % f}pj izlkekU; caVu] mikar ,oa lizfrca/k caVu 'ksoh�kso dh loZlehdk ¼dsoy
dFku½
bdkbZ & pkj % o`gr la[;kvksa dk nqcZy fu;e] dsUnzh; lhek izes; ¼fyaMcxZ ,oa ysfo] fy;ksQukQ
vkSj fMek;oj½
bdkbZ & ikWp % Øfed izfrn�kZt mlds caVu ,oa xq.kA
lanHkZ iqLrds %
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan
chand & Co.
2. B L Agrawal Basic Statistics New Age
3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate
4- ch-,y-vxzoky Lkaf[;dh fof/k;ka
5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
8
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Class : B.A. / B.Sc. � I
Subject: Statistics
Paper Title : Distribution Theory ( Paper � I)
Semester : II (201)
Max Marks : 50
Unit � I
Continous probability distribution their properties and uses � uniform, normal and Cauchy distribution
Unit � II
Laplace , Exponential, Chi-Square, Beta and Gamma distribution with their properties.
Unit - III
Bivariate normal distribution and its Marginal and conditional distribution thory Techebychev�s inequality
( Statement only).
Unit - IV
Week law of Large numbers. Central limit theorem ( Linderbereg & Lavy, Liapaunoff and De - moiver)
Unit �V
Order Statistics � Their distribution and properties
Books :
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand
& Co.
2. B L Agrawal Basic Statistics New Age
3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate
4- ch-,y-vxzoky Lkaf[;dh fof/k;ka
5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
9
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Class : B.A. / B.Sc. � I
Subject: Statistics
Paper Title : Discerptive Statistics - II ( Paper II)
Semester : II (202)
Max Marks : 50
Unit � I
Bivariate data � Scattered diagramme, product moment correlation coefficient and its properties and uses,
coefficient of determination.
Unit � II
Spearman�s rank correlation ( including repeated ranks) fitting of curves. Principle of least squares.
Unit � III
Regression, fitting of regression lines, concept of error in regression.
Unit � IV
Multiple, partial correlation and multiple regression analysis ( for three variable only) properties of
residues.
Unit � V
Theory of attributes � independence and association of attributes, consistency of data measures of
association for two and three way classified data.
Books :
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand
& Co.
2. B L Agrawal Basic Statistics New Age
3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate 4- ch-,y-vxzoky Lkaf[;dh fof/k;ka
5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
10
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- I
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : foojk.kkRed laf[;dh ¼f}rh; iz�ui=½foojk.kkRed laf[;dh ¼f}rh; iz�ui=½foojk.kkRed laf[;dh ¼f}rh; iz�ui=½foojk.kkRed laf[;dh ¼f}rh; iz�ui=½
Semester : II (202) vf/kdre vad % 25
bdkbZ & ,d % f}pj vkadMs & izdh.kZ vkjs[k xq.ku vk/kw.kZ lglaca/k vkSj blds xq.k vkSj mi;ksxA
fu/kkZj.k xq.kkad A
bdkbZ & nks % Lih;jesu dksfVZ lglaca/k ¼ iqujko`fRr dksfV lfgr½ U;wure oxksaZ dk fl}kar rFkk
oØska dk vklatuA
bdkbZ & rhu % izfrxeu] izfrxeu js[kkvksa dk vklatu izfrxeu js[kkvksa dh =`fV dh vo/kkj.kkA
bdkbZ & pkj % cgqxq.k ,oa vkaf�kd lglaca/k vkSj cgqxq.k izfrxeu fo�ys"k.k ¼rhu pjksa ds fy,½
vo�ks"kksa ds xq.kA
bdkbZ & ikWp % xq.kksa ds fl}kar] xq.kksa dh Lora=rk leadks dh laxrrk xq.kksa dh eki nks vkSj rhu
oxhZdj.k ds fy,
iqLrds %
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan
chand & Co.
2. B L Agrawal Basic Statistics New Age
3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate
4- ch-,y-vxzoky Lkaf[;dh fof/k
5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
11
dsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk
d{kk % Lukrd izFked{kk % Lukrd izFked{kk % Lukrd izFked{kk % Lukrd izFke fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh
l-
Ø-
Lk= iz'ui= iz'ui= dj 'kh"kZd vf/kdre vad dqy ;ksx
1 f}rh; l= izFke caVu dk fl}kar caVu dk fl}kar caVu dk fl}kar caVu dk fl}kar ¼201½ 50
f}rh; foojk.kkRed lkaf[;dhfoojk.kkRed lkaf[;dhfoojk.kkRed lkaf[;dhfoojk.kkRed lkaf[;dh � II ¼202½ 50 100
izk;ksfxd 50
ifj;kstuk 50 100
ifj;kstuk %
• dk;Z dk ewY;kadu izFke l= esa 50 vad ds fy, gksxk rFkk f}rh; l= esa 50 vad
ds fy, gksxkA
• fo|kFkhZ dks ifj;kstuk dk izfrosnu tek djuk gksxkA lkFk gh ftl laLFkku esa
ifj;kstuk ij dk;Z fd;k x;k gSA mldk izek.k i= Hkh izfrosnu esa layXu djuk
gksxkA
• izFke l= esa ifj;kstuk dk ewY;akdu vkUrfjd ijh{kd }kjk fd;k tk,xk rFkk
f}rh; l=h; ifj;kstuk dk ewY;akdu ckg~; ijh{kd ds lg;ksx ls vkarfjd
ijh{kd }kjk fd;k tk,xkA
12
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Session 2009 � 2010
Class : B.A. / B.Sc. � II
Subject: Statistics
Paper Title : Statistical Methods � I
Semester : III ( 301)
Max Marks :50
Unit � I
Concept of statistic and its sampling distribution. Sampling from uniform, exponential and normal
distribution .
Unit � II
Concept of bias and standard error of an estimate, Point estimate of a parameter. Properties of a point
estimate, unbiasedness, consistency, sufficiency and efficiency.
Unit � III
Interval Estimation � concept of confidence intervals for the parameters of Univariate normal .
Unit � IV
Testing of hypothesis: statistical hypothesis - simple and composite statistical test � critical region, Type I
and Type II errors, size and power of a test, level of significance.
Unit � V
Large sample test � test for single proportion, difference of proportions, single mean, difference of means,
slandered error of an estimate.
Books :-
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan Chand
& Co.
2. B L Agrawal Basic Statistics New Age
3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate
4- ch-,y-vxzoky Lkaf[;dh fof/k;ka
5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
13
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- II
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : lkaf[;dh; fof/k;ka lkaf[;dh; fof/k;ka lkaf[;dh; fof/k;ka lkaf[;dh; fof/k;ka - I
Semester : II ( 301) vf/kdre vad % 50
bdkbZ & ,d % izfrn�kZ dh vo/kkj.kk vkSj muds izfrp;u caVu ,d leku ,Dliksuasf�k;y vkSj
izklkekU; caVu dk izfrp;uA
bdkbZ & nks % ,d vkdyd dhsa vufHkur¼ckW;l½ vkSj izekf.kr =`fV dh vo/kkj.kk A,d izkpky esa
fcUnq vkdyu ds xq.k] vufHkuurk] laxrrk] i;kZIrrk] n{krkA
bdkbZ & rhu % varjky vkdyu& ;wuhosfj;V izlkekU; pj ds fy,A fo�o�krk vUrjky dh
vo/kkjk.kk
bdkbZ & pkj % ifjdYiuk dk ijh{k.kA lkaf[;dh; ifjdYiuk lk/kkj.k rFkk fefJr lkaf[;dh;
ijh{k.k] Økafrd {ks=] izFke vkSj f}rh; izdkj dh =`fV] ijh{k.k dk vkdkj vkSj
lkeFkZ] lkFkZdrk LrjA
bdkbZ & ikWp % o`gr izfrn�kZ ijh{k.k] ,dy vuqikr dk ijh{k.k] vuqikr dk vUrjA ,dy e/;
rFkk ek/;ksa ds vUrj dk ijh{k.kA ,d vkdyd dh izekfir =`fVA
lanHkZ iqLrdsa %
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan
Chand & Co.
2. B L Agrawal Basic Statistics, New Age
3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worlds Press
Kolkkata
4- ch-,y-vxzoky Lkaf[;dh fof/k;ka
5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
14
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
l= 2009 & 201l= 2009 & 201l= 2009 & 201l= 2009 & 2010000
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- II
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : izfrn�kZ losZ{k.kizfrn�kZ losZ{k.kizfrn�kZ losZ{k.kizfrn�kZ losZ{k.k Semester : III ( 302)
vf/kdre vad % 50
bdkbZ & ,d % izfrn�kZ losZ{k.k A lef"V ,oa izfrn�kZ dh ladYiuk,a ] izfrp;u dh vko�;drk
x.kuk ,oa izfrn�kZ losZ{k.k A izfrp;u dh vk/kkjHkwr vo/kkj.kk,aA
bdkbZ & nks % losZ{k.k izfrp;u ds laxBukRed i{k] izfrn�kZ dk pquko ,oa izfrn�kZ vkeki dk
p;uA dfri; ewyHkwr izfrp;u fof/k;ka & ljy ;kn`fPNd izfrp;u] izfrLFkkiu
lfgr ,oa izfrLFkkiu ds fcukA
bdkbZ & rhu % Lrjh; ;kn`fPnd izfrp;u] Øec} izfrp;uA
bdkbZ & pkj % ljy ;kn`fPNd izfrp;u ds varxZr vkdyu dh vuqikr ,oa lekJ;.k fof/k;kaA
bdkbZ & ikWp % vizfrp;u =`fV;ka jk"Vªh; izfrn�kZ losZ{k.k laxBu ¼NSSO) ,o vU; izfrn�kZ
losZ{k.k djus okyh ,tsafal;ksa ds dk;ZA iz�ukofy;ksa] izfrn�khZ; vfHkdYiuk {ks=
vUos"k.k esa viukbZ xbZ fof/k;ka izeq[k miyfC/k;ka bR;kfn dh tkudkjhAa
lanHkZ iqLrdsa %
1. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics
2. W. G. Cochran : Sampling Techniques
3- Daroga Singh Theory and Analysis of Sample Survey and
Design
4- vuqoknd yTtkjke flagy Izkfrp;u rduhdsa
15
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Session 2009 � 2010
Class : B.A. / B.Sc. � II
Subject: Statistics
Paper Title : Sample Surveys
Semester : III ( 302)
Max Marks : 50
Unit � I
Sample surveys, concept of population and sample, need for sampling, Census and sample surveys, basic
concepts in sampling . Organization aspects of survey sampling.
Unit � II
Sample selection and sample size. Some basic sampling methods � simple random sampling ( SRS) with
and without replacement.
Unit � III
Stratified random sampling, Systematic sampling.
Unit � IV
Ratio and Regression methods of estimation under simple random sampling.
Unit � V
Non- sampling errors, acquaintance with the working ( questionnaires, sampling design, methods followed
in field investigation, principal findings etc.) of National Sample Survey Organization (NSSO) and other
agencies undertaking sample surveys.
lanHkZ iqLrdsa %
1. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics
2. W. G. Cochran : Sampling Techniques
3- Daroga Singh Theory and Analysis of Sample Survey and
Design
4- vuqoknd yTtkjke flagy Izkfrp;u rduhdsa
16
dsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk
d{kk % Lukrd f}rh;d{kk % Lukrd f}rh;d{kk % Lukrd f}rh;d{kk % Lukrd f}rh; fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh
l-
Ø-
Lk= iz'ui= iz'ui= dj 'kh"kZd vf/kdre vad dqy ;ksx
1 r`rh; l= izFke Lakf[;dh; fof/k;ka Lakf[;dh; fof/k;ka Lakf[;dh; fof/k;ka Lakf[;dh; fof/k;ka ¼301½ 50
f}rh; Izkfrn�kZ losZ{k.k ¼302½ 50 100
izk;ksfxd 50
ifj;kstuk 50 100
ifj;kstuk %
• dk;Z dk ewY;kadu izFke l= esa 50 vad ds fy, gksxk rFkk f}rh; l= esa 50 vad
ds fy, gksxkA
• fo|kFkhZ dks ifj;kstuk dk izfrosnu tek djuk gksxkA lkFk gh ftl laLFkku esa
ifj;kstuk ij dk;Z fd;k x;k gSA mldk izek.k i= Hkh izfrosnu esa layXu djuk
gksxkA
• izFke l= esa ifj;kstuk dk ewY;akdu vkUrfjd ijh{kd }kjk fd;k tk,xk rFkk
f}rh; l=h; ifj;kstuk dk ewY;akdu ckg~; ijh{kd ds lg;ksx ls vkarfjd
ijh{kd }kjk fd;k tk,xkA
17
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Session 2009 � 2010
Class : B.A. / B.Sc. � II
Subject: Statistics
Paper Title : Survey Methods ( Paper � I)
Semester : IV ( 401)
Max Marks : 50
Unit � I
Fisher�s Z transformation and its uses Pearson�s Chi-Square test for goodness of fit and for homogeneity
for standard distribution.
Unit � II
Contingency table and test of independence in a Contingency table. Small sample test � t and F test.
Unit � III
Non-parametric Test � sign test for univariate and bivariate distributions, wilcoxon- Mann � whitney U-
test.
Unit � IV
Non parametric Test � Run test median test and spearman�s rank correlation coefficient test.
Unit � V
Analysis of variance for one way and two way classification with one observation per cell.
Ref Books : 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand
& Co.
2. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand &
Co.
3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate 4- ch-,y-vxzoky Lkaf[;dh fof/k;ka
5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
18
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- II
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : fun�kZu fof/k;ka fun�kZu fof/k;ka fun�kZu fof/k;ka fun�kZu fof/k;ka Semester : IV ( 401)
vf/kdre vad % 50
bdkbZ & ,d % fQ�kj dk Z :ikarj ,oa blds mi;ksxA χ2 oxZ esa vklatu lq"Bqrk vkSj izekf.kd
caVu gkseksftfuVh ds fy,A
bdkbZ & nks % vklax lkj.kh vkSj Lora=rk ds fy, vklax lkj.kh dk ijh{k.k] y?kqizfrn�kZ& t
ijh{kk.k dk rFkk v ijh{k.k ds fy,A
bdkbZ & rhu % vizpkfyd ijh{k.k & fpUg ijh{k.k ,d pj vkSj f}pj caVu ds fy, foydWkDlu
eku foVuh U ijh{k.kA
bdkbZ & pkj % vizkpfyd fof/k;ka] fpUg ijh{k.k] ef/;dk ijh{k.k vkSj Lfi;jesu dksfV lglaca/kA
bdkbZ & ikWp % izlj.k fo�ys"k.k & ,d/kk oxhZdj.k ,oa f}/kk oxhZdj.k ¼,d oxhZdj.k rFkk ,d
dksfV ds fy,½A
lanHkZ iqLrdsa %
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand
& Co.
2. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand &
Co.
3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate 4- ch-,y-vxzoky Lkaf[;dh fof/k;ka
5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
19
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Session 2009 � 2010
Class : B.A. / B.Sc. � II
Subject: Statistics
Paper Title : Design of Experiments ( Paper � II)
Semester : IV ( 402)
Max Marks : 50
Unit � I
Need for design of experiments, basic principles of designs, Analysis of completely randomized design
(CRD) .
Unit � II
Introduction of fixed, mixed and random effect models. Layout, analysis, merits and demerits of
randomized block design ( RBD) including missing plot technique (One missing Observation)
Unit � III
Layout, analysis, merits & demerits of Latin square design ( LSD) with missing plot technique ( One
missing observation) Efficiency of design.
Unit � IV
Factorial design � 2n (n≤4) design illustration, main effect and interaction effects.
Unit � V
Confounding in 23 designs ( Complete and partial confounding)
Ref. Books :
1. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand &
Co.
2- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate 3- ch-,y-vxzoky Lkaf[;dh fof/k;ka
20
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- III
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : vfHkdYiuk dk ijh{k.k ¼f}rh; iz�ui=½vfHkdYiuk dk ijh{k.k ¼f}rh; iz�ui=½vfHkdYiuk dk ijh{k.k ¼f}rh; iz�ui=½vfHkdYiuk dk ijh{k.k ¼f}rh; iz�ui=½ Semester : IV ( 402)
vf/kdre vad % 50
bdkbZ & ,d % vfHkdYiuk ijh{k.k dh vko�;drkA vfHkdyiuk ijh{k.k ds eq[; fl}kar] iw.kZrk
;kn`fPNd vfHkdYiuk dk fo�ys"k.k
bdkbZ & nks % fQDlM] feDlM rFkk jsUMe izHkko ekMy dk ifjp;] foU;kl vkSj ijh{k.k]
;kn`fPNd [k.M vfHkdYiuk ds eq[; nks"k rFkk vKkr oxZ dk fu/kkZj.k ¼,d vKkr
ewY; ds fy,½
bdkbZ & rhu % ysfVu oxZ vfHkdYiuk dk foU;kl xq.k nks"k rFkk lkFk esa ,d vKkr oxZ ds
fu/kkZj.k dh fof/k rFkk ,d vfHkdYiuk dh n{krkA
bdkbZ & pkj % miknkuh vfHkdYiuk & 2n (n≤4) vfHkdYiuk eq[; izHkko vkSj bUVªsD�ku izHkko
lfgrA
bdkbZ & ikWp % 23 esa dUQkmfUMax] iw.kZ ,oa vkaf�kd dUQkmfMUxA
lanHkZ iqLrdsa %
1. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand &
Co.
2- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate 3- ch-,y-vxzoky Lkaf[;dh fof/k;ka
21
dsUnzh; v/;;u eaMy }kjk vuq�dsUnzh; v/;;u eaMy }kjk vuq�dsUnzh; v/;;u eaMy }kjk vuq�dsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukkaflr Lukrd ikB~;Øe dh ijh{kk ;kstukkaflr Lukrd ikB~;Øe dh ijh{kk ;kstukkaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk
d{kk % Lukrd f}rh;d{kk % Lukrd f}rh;d{kk % Lukrd f}rh;d{kk % Lukrd f}rh; fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh
l-
Ø-
Lk= iz'ui= iz'ui= dj 'kh"kZd vf/kdre vad dqy ;ksx
1 prqFkZ l= izFke fun'kZu fof/k;kafun'kZu fof/k;kafun'kZu fof/k;kafun'kZu fof/k;ka¼401½ 50
f}rh; vfHkdYiuk dk ijh{k.k ¼402½ 50 100
izk;ksfxd 50
ifj;kstuk 50 100
ifj;kstuk %
• dk;Z dk ewY;kadu izFke l= esa 50 vad ds fy, gksxk rFkk f}rh; l= esa 50 vad
ds fy, gksxkA
• fo|kFkhZ dks ifj;kstuk dk izfrosnu tek djuk gksxkA lkFk gh ftl laLFkku esa
ifj;kstuk ij dk;Z fd;k x;k gSA mldk izek.k i= Hkh izfrosnu esa layXu djuk
gksxkA
• izFke l= esa ifj;kstuk dk ewY;akdu vkUrfjd ijh{kd }kjk fd;k tk,xk rFkk
f}rh; l=h; ifj;kstuk dk ewY;akdu ckg~; ijh{kd ds lg;ksx ls vkarfjd
ijh{kd }kjk fd;k tk,xkA
22
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Session 2010 � 2011
Class : B.A. / B.Sc. � III
Subject: Statistics
Paper Title : Applied Statistics - I ( Paper � I)
Semester : V ( 501)
Max Marks : 50
Unit � I
Indian applied statistical system. Present official statistical system in India. Methods of collection of
official statistics. Their reliability and limitation and the principal publication containing such statistics on
the topics : population, agriculture industry trade and price statistics.
Unit � II
The principal publication of official statistics on the topics: labor and employment transport and
communication banking and finance. Demographic methods: Sources of demographic data-census,
registration adhoc survey hospital records demographic profiles Indian census.
Unit � III
Measurement of mortality and life table : crude death rate infant mortality rates, death rate by causes
standardized death rate complete life table - its main features, mortality rate and probability of dying use
of survival tables.
Unit � IV
Measurement of fertility : crude birth rate general fertility rate total fertility rate Gross Reproduction Rate
(GRR).
Unit � V
Economic statistics : Index numbers its definition, application of index numbers, price relatives and
quantity or volume relatives link and chain relatives consumer price index.
Ref. Books : 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co.
2. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand & Co.
3. B L Agrawal Basic Statistics, New Age 4- Mahajan M Statistical Quality Control, Dhanpat rai & Co. 5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
6- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press Kolkate
23
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- III
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : vuqiz;qDr lkaf[;dh &vuqiz;qDr lkaf[;dh &vuqiz;qDr lkaf[;dh &vuqiz;qDr lkaf[;dh &I ¼izFke iz�ui=½ ¼izFke iz�ui=½ ¼izFke iz�ui=½ ¼izFke iz�ui=½ Semester : V ( 501)
vf/kdre vad % 50 bdkbZ & ,d % Hkkjrh; vuqiz;qDr lkaf[;dh ra=] Hkkjr esa orZeku 'kkldh; lkaf[;dh ra=A 'kkldh;
lkf[;dh; leadks ds laxzg.k dh fof/k;ka mudh fo�oluh;rk ,oa lhek,a ,oa izeq[k izdk�ku
ftuesa tula[;k] d`f"k] m|kksx O;kikj] ewY;A
bdkbZ & nks % izeq[k izdk�ku ftuesa Je ,oa jsktxkj ifjogu ,oa lapkj cSafdUx ,oa foRr fo"k;ksa ij ,slh
lkaf[;dh nh gqbZ gksaA tulkaf[;dh & fof/k;ka] tulaf[;dh leadks ds L=ksr&lax.kuk] iqqath rnFkZ
losZ{k.k gWkfLiVy ds fjdkMZl ] Hkkjrh; tux.kuk dh tulkaf[;dh ik�oZdA
bdkbZ & rhu % eR;Zrrk dh uki ,oa o; lkfj.kh] v�kksaf/kr e`R;q nj] f�k�kq erZ;rrk] ldkj.k e`R;qnj]
ekudhd`r e`R;qnj] iw.kZ o;&lkj.kh bldh izeq[k fo�ks"krk,a eR;Zrrk nj ,oa ej.k dh izkf;drk
mRrjthfork lkj.kh ds mi;ksxA
bdkbZ & pkj % moZjrk eki] v�kksf/kr tUenj] lkekU; iztuu nj] laiw.kZ iztuu nj ldy iqu:Riknu nj]
'kq) iztuu njA
bdkbZ & ikWp % vkfFkZd lkaf[;dh lwpdkad] bldh ifjHkk"kk mi;ksx ewY;kuqikr ,oa ek=k vFkok ifjek.k
vuqikr] Jqa[kfyr ,oa Jq[kyk visf{krA miHkksDrk ewY; lwpdkadA
lanHkZ iqLrdsa %
1. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand &
Co.
2. B L Agrawal Basic Statistics, New Age
3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate 4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
24
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Session 2010 � 2011
Class : B.A. / B.Sc. � III
Subject: Statistics
Paper Title : Statistical Quality control and Computational � Techniques -
( Paper � II)
Semester : V ( 502)
Max Marks : 50
Unit � I
General theory of control charts, causes of variations control charts for attributes � np, p, c, and U �charts.
Unit � II
Control charts for variables. Chart for mean and range. Principles of acceptance sampling.
Unit � III
Producer�s and Consumer�s risk single and double sampling plans, their O.C., A.O.Q., A.S.N. and ATI
curves.
Unit � IV
Computational techniques � difference table and methods of interpolation for equal and unequal class
intervals. Newton�s and Lagrange�s formula.
Unit � V
Divided difference numerical differentiation and integration. Trapezoidal rule, Simpson�s one third and
three eight rule.
lanHkZ iqLrdsa %
1. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand &
Co.
2. B L Agrawal Basic Statistics, New Age 3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press
Kolkate 4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
25
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- III
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : lkaf[;dh; xq.k fu;a=.k ,oa lax.kd rduhdsa ¼f}rh; iz�ui=½lkaf[;dh; xq.k fu;a=.k ,oa lax.kd rduhdsa ¼f}rh; iz�ui=½lkaf[;dh; xq.k fu;a=.k ,oa lax.kd rduhdsa ¼f}rh; iz�ui=½lkaf[;dh; xq.k fu;a=.k ,oa lax.kd rduhdsa ¼f}rh; iz�ui=½ Semester : V ( 502)
vf/kdre vad % 50
bdkbZ & ,d % fu;a=.k lafp= dk O;kid fl}kar] fopj.k ds dkj.k] xq.kksa ds fy, np, p, c, vkSj
U lafp=A
bdkbZ & nks % pjksa ds fy, fu;a=.k lafp=A eq[; ,oa foLrkj ¼jsUt½ lafp=A Lohdj.k izfrp;u
ds fl}karA
bdkbZ & rhu % mRiknd ,oa miHkksDrk dh tksf[ke] ,dy ,oa f}�k izfrp;u vk;kstu rFkk buds
O.C., A.O.Q., A.S.N. vkSj ATI oØA
bdkbZ & pkj % lax.kd rduhdsa& varj lkj.kh vkSj leku ,oa vleku oxZ varjky ds fy,
varZos�ku dh fof/k;ka A
bdkbZ & ikWp % varj vUrjky] la[;kRed vodyu vkSj lekdyu A VªsikstkbMy fu;e rFkk
flEilu dk 1@3 ,oa 3@8 fu;e A
lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co.
2. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand & Co.
3. B L Agrawal Basic Statistics, New Age 4- Mahajan M Statistical Quality Control, Dhanpat rai & Co. 5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
6- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press Kolkate
26
dsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk
d{kk % Lukrd r`rh;d{kk % Lukrd r`rh;d{kk % Lukrd r`rh;d{kk % Lukrd r`rh; fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh
l-
Ø-
Lk= iz'ui= iz'ui= dj 'kh"kZd vf/kdre vad dqy ;ksx
1 iape l= izFke vuqiz;qDr lkaf[;dh vuqiz;qDr lkaf[;dh vuqiz;qDr lkaf[;dh vuqiz;qDr lkaf[;dh - I¼501½ 50
f}rh; Lakf[;dh xq.krk fu;a=.k rFkk Lakf[;dh xq.krk fu;a=.k rFkk Lakf[;dh xq.krk fu;a=.k rFkk Lakf[;dh xq.krk fu;a=.k rFkk
lax.ku rduhdsalax.ku rduhdsalax.ku rduhdsalax.ku rduhdsa ¼502½
50 100
izk;ksfxd 50
ifj;kstuk 50 100
ifj;kstuk %
• dk;Z dk ewY;kadu izFke l= esa 50 vad ds fy, gksxk rFkk f}rh; l= esa 50 vad
ds fy, gksxkA
• fo|kFkhZ dks ifj;kstuk dk izfrosnu tek djuk gksxkA lkFk gh ftl laLFkku esa
ifj;kstuk ij dk;Z fd;k x;k gSA mldk izek.k i= Hkh izfrosnu esa layXu djuk
gksxkA
• izFke l= esa ifj;kstuk dk ewY;akdu vkUrfjd ijh{kd }kjk fd;k tk,xk rFkk
f}rh; l=h; ifj;kstuk dk ewY;akdu ckg~; ijh{kd ds lg;ksx ls vkarfjd
ijh{kd }kjk fd;k tk,xkA
27
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Session 2010 � 2011
Class : B.A. / B.Sc. � III
Subject: Statistics
Paper Title : Applied Statistics - II ( Paper � I)
Semester : VI ( 601)
Max Marks : 50
Unit � I
Index numbers � Definition uses and limitations. Construction of simple weighted index numbers.
Laspeyer�s, Paasche�s and Fishers� formula, various test for index numbers.
Unit � II
Static laws of demand and supply, price elasticity of demand, analysis of income distribution and Pareto-
distribution.
Unit � III
Fitting of Pareto law log normal distribution and its property. Lorenz curve and estimation of elasticity
from time series data, Ginnis� coefficient.
Unit � IV
Time series analysis � Economics time series, its different component, illustration, additive and
multiplicative models, determination of trend.
Unit � V
Growth curve, analysis of seasonal fluctuations, construction of seasonal indices.
1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co.
2. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand & Co.
3. B L Agrawal Basic Statistics, New Age 4- Mahajan M Statistical Quality Control, Dhanpat rai & Co. 5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
6- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press Kolkate
28
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- III
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : iz;qDr lkaf[;dh;iz;qDr lkaf[;dh;iz;qDr lkaf[;dh;iz;qDr lkaf[;dh; - II ¼izFke iz�ui=½ ¼izFke iz�ui=½ ¼izFke iz�ui=½ ¼izFke iz�ui=½ Semester : V ( 601)
vf/kdre vad % 50
bdkbZ & ,d % lwpdkad & lwpdkad dh ifjHkk"kk] xq.k mi;ksx rFkk mldh lhek,aA lk/kkj.k rFkk
Hkkfjr lwpdkad ysLis;j] ik�ksa vkSj fQ�kj lwpdkad dk lw= rFkk lwpdkad ds fofHkUu
lw=A
bdkbZ & nks % ekWx rFkk iwfrZ ds fl}kar rFkk ekWx dh ykspA vk; ds fo�ys"k.k dk caVu vkSj
isjsVksa caVuA
bdkbZ & rhu % isjksVksa fu;e dk vlatu] ykWx izlkekU; caVu vkSj mudh fo�ks"krk,aA ykjsUt oØ
vkSj dkyJs.kh leadks esa ljyrk dk vkdyu] fxuht dk xq.kkadA
bdkbZ & pkj % dkyJs.kh fo�ys"k.k & vkfFkZd dkyJs.kh vkSj mlds fofHkUu la?kVd mnkgj.k
lfgr A dkyJs.kh ds ;ksT; rFkk xq.kd ekWMy] izo`fRr Kkr djus ds fy,A
bdkbZ & ikWp % xzksFk oØ] eksleh mPpkopu dk fo�ys"k.k rFkk eksleh mppkopu dk fuekZ.kA
lanHkZ iqLrdsa % 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co.
2. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand & Co.
3. B L Agrawal Basic Statistics, New Age 4- Mahajan M Statistical Quality Control, Dhanpat rai & Co. 5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh
6- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press Kolkate
29
Department of Higher Education, Govt of M.P.
Semester wise Syllabus for Under Graduate
As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
Session 2010 � 2011
Class : B.A. / B.Sc. � III
Subject: Statistics
Paper Title : Computational Techniques( Paper � II)
Semester : VI ( 602)
Max Marks : 50
Unit � I
Historical evolution of computers, Generation of Computers, Classification of Computers, Hardware �
CPU, I/O devices, block diagram, system software, MS-Dos � file name, creating, editing and printing of
files. Other file management commands. Disk management commands.
Unit � II
Linear programming, Elementary theory of convex sets, definition of general linear programming problem
( LPP).
Unit � III
Simulation problem of LPP, examples of LPP. Problem occurring in various fields, graphical solution of
LPP.
Unit � IV
Simplex method of solving an LPP, artificial variable, duality of LPP.
Unit � V
Transportation problem ( non-degenerate and balance cause only). Assignment problem (balanced case
only)
lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. D. Sharma Operation Research
2. Kantiswaroop, Manmohan, Gupta Operation Research
30
Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.
l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011
Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- III
Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh
Paper Title : lax.ku rduhfd ¼f}rh; iz�ui=½lax.ku rduhfd ¼f}rh; iz�ui=½lax.ku rduhfd ¼f}rh; iz�ui=½lax.ku rduhfd ¼f}rh; iz�ui=½ Semester : V ( 602)
vf/kdre vad % 50
bdkbZ & ,d % dEI;wVj dh ,sfrgkfld vo/kkj.kk] dEi;wVj dh ih<h] dEI;wVj dk oxhZdj.k
gkMZos;j] lh-ih-;w- buiqV@vkmViqV fMokblsl] Cykd fp=] flLVe lk¶Vos;j
MS-Dos Qkby use fØ;sfVax] ,fMfVax vkSj fizafVax] Qkby ls nwljh Qkby dh
O;oLFkkiu] dekUM MhLd eSustesUVA
bdkbZ & nks % jsf[k; izksxzkeu] mUuoksRrj leqgks dk izkjafHkd fl}kar O;kid jsf[k; izksxzkeu
leL;k dh ifjHkk"kkA
bdkbZ & rhu % LPP ds lw=hdj.k dh leL;k,a ,oa LPP ds mnkgj.k fofHkUu {ks=ksa esa gksus okyh
leL;k,a A LPP dsk gy djus dh vkysf[k; fof/kA
bdkbZ & pkj % LPP dks gy djus dh flaiysDl fof/k d`fre pj] LPP dh f}fof/krkA
bdkbZ & ikWp % ifjogu leL;k ¼dsoy vfod`r ,oa larqfyr ?kVuk,a½ vkoaVu leL;k,a ¼dsoy
larqfyr ?kVukvksa ds fy,½A
lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. D. Sharma Operation Research
2. Kantiswaroop, Manmohan, Gupta Operation Research
31
dsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk
d{kk % Lukrd r`rh;d{kk % Lukrd r`rh;d{kk % Lukrd r`rh;d{kk % Lukrd r`rh; fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh
l-Ø- Lk= iz'ui= iz'ui= dj 'kh"kZd vf/kdre vad dqy ;ksx
1 "k"Be l= izFke vuqiz;qDr lakf[;dh &2 ¼601½ 50
f}rh; Lakx.ku rduhdsa ¼602½ 50 100
izk;ksfxd 50
ifj;kstuk 50 100
ifj;kstuk %
• dk;Z dk ewY;kadu izFke l= esa 50 vad ds fy, gksxk rFkk f}rh; l= esa 50 vad
ds fy, gksxkA
• fo|kFkhZ dks ifj;kstuk dk izfrosnu tek djuk gksxkA lkFk gh ftl laLFkku esa
ifj;kstuk ij dk;Z fd;k x;k gSA mldk izek.k i= Hkh izfrosnu esa layXu djuk
gksxkA
• izFke l= esa ifj;kstuk dk ewY;akdu vkUrfjd ijh{kd }kjk fd;k tk,xk rFkk
f}rh; l=h; ifj;kstuk dk ewY;akdu ckg~; ijh{kd ds lg;ksx ls vkarfjd
ijh{kd }kjk fd;k tk,xkA