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http://hench-maths.wikispaces.c

Developed By Graeme Henche

To show how to do some com

operations using Excell

http://hench-maths.wikispaces.com/

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om

l

on statistical

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Data12

232356

8757568032528229

90438418

922581

9554

3372831689

RANDBETWEENThis function produces a random integer between

For exmple =randbewteen(0,100) will produce a

In order for this function to work you need to haveTo do this go to tools-->addins and select Analy

Pressing F9 will recalculate the random value.The sheet will also recalculate automatically eveunless you turn this off. Do this in the Tools-->O

Generating Ran

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the values you specify

random whole (integer) number between 0 and 100

installed the Analysis Toolpak add insis ToolPak.

ry time you make another entry this can be annoyingtions dialogue box. Select manual calculation

om Numbers

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Unsorted Data Sorted data

76 4

34 449 1487 1538 2670 2695 344 38

50 4254 4942 5065 5389 5479 5467 6315 644 65

89 6764 7063 7226 7614 7954 8726 8953 8972 95

First Highlight the data you want to sort byselecting all the cells

Then use the DATA-->SORT menu to sortan unordered list of data into an ordered list

Data sorted into rank order

Sorting data into Rank order

Talessoi

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he sort function can be used in morevanced ways to sort data into various

vels of order e.g. you might have names,x, age for a group of people and you canrt this data in various orders dependingwhat you consider to be the most

portant or useful way for your purposes

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Sorted data

244 Mean 36.04762

4014 Median 401524 Mode 42626 Minimum 23438 Maximum 63

4249 Range 615050

525354546363

Use the following functions to fin

Mean: =AVERAGE(number1,nu

Median: =MEDIAN(number1,nu

Mode: =MODE(number1,number

Minimum: =min(number1, numbe

Maximum: =max(number1, numb

Click on the yellow cells and exa

to find the Range create a formul

NOTE: The data does not have tworthwhile doing the sort anywa

Mean, Median, Mode, Mini

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mean, median, mode, maximum, minimum

mber2,...) or =AVERAGE(array)

ber2,...) or =MEDIAN(array)

2,...) or =MODE(array)

r2,..) or =min(array)

er2,..) or =max(array)

mine the formulae used for the data set (B4:B24)

a based on range=max-min

o be sorted in rank order for these functions to work. But it is

um, Maximum, Range

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Sorted data2 Minimum 24

1415

242626 Q1 263438424950 Q2 50

505253545465

67 Q3 67707276778995 Maximum 95

The function =QUARTILE(array,quart) can

Examine the yellow cells to see the formulae

Array is the array or cell range of numeric

Quart indicates which value to return.

If quart equals QUARTILE returns0 Minimum value1 First quartile (25th percentile)2 Median value (50th percentile)3 Third quartile (75th percentile)4 Maximum value

Quartiles, Maxim

This information can be used to construct a bfunction to do this. It can however be constru

See the file Box_plot.xls to see how to do this

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be used to find quartile and max min of a set of data.

used

alues for which you want the quartile value.

m, Minimum

ox plot but excell does not have an inbuilt graphingted using drawing objects.

.

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Sorted data Bin Frequency

2 10 34 20 24 30 3

14 40 215 50 424 60 326 70 226 80 1

34 90 138 100 142 Sum 22495050

5254546364808795

SUM 927

A class interval can be determinefound . The FREQUENCY functio

Determine the intervals you want

The frequency function has the fowhere data_array is the data you

However it needs to be entered a

In cell E4 type =frequency(B4:B2Now select all the cells where youNext press F2 (this puts the formThen press CTRL+SHIFT+ENTE

Note the array formulae is surrou

The sum of a set of cells can be calculated in several ways.

Method 1 : is to use the =SUM(array) formulae eg to sum cells b2 to b35

Method 2 : is to use the auto sum button this is on the toolbar next to

Select the cells you want to sum click button and the sum will appear inIf you then look at the formulae it looks the same as method 1 above

Class Interval based Frequency Table

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d and frequency of occurrence of observations within each class intervaln can be used to determine frequencies for given intervals.

to use and create an array. Eg D4:D13 This is called yourbin array

llowing logic =FREQUENCY(Data_array, Bin_array)want to analyse and bin_array is your intervals

s an array formula. This is how you do it.

,D4:D13) then press enter.want the frequencies to be placed i.e. E4:E13

ula in the formula bar)R (this makes an array formulae in your selected cells)

nded by braces { }

se the formulae =sum(b2:b35)

the hyperlink button.

the cell below your list.

NOTE: An easier method for afrequency table is to use theTOOLS-->DATA ANALYSISmethod explained on thefreq+histogram sheet

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Data Bin2 10

4 2014 3015 40

24 5026 6026 7034 8038 9042 1004950

50525354

546567707276

778995

A frequency table and a Histogram can be co

Assuming you have your data you need to deyou can see the class intervals going up by 1

Go to TOOLS-->DATA ANALYSIS and seleThe input range is your raw data. The bin ranbegin to appear. I have put $k$13. Chart ou

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Bin Frequency

10 2

20 230 340 250 4

60 470 380 390 1100 1

More 0

nstructed using the DATA-ANALYSIS functions.

cide on the class intervals you want to use. These are called your bins. In this example0. You need to put these in the spreadsheet somewhere.

t Histogram You can see the data ranges that have been put in for this example.ge are your class intervals. The output range is just a cell where you want the output totput is selected so that a chart is produced as well

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

Frequency

Bin

Histogram

F

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requency

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Data Bin Bin Frequency Cumulative %2 10 10 2 8.00%4 20 20 2 16.00%14 30 30 3 28.00%

15 40 40 2 36.00%24 50 50 4 52.00%26 60 60 4 68.00%26 70 70 3 80.00%34 80 80 3 92.00%38 90 90 1 96.00%

42 100 100 1 100.00%49 More 0 100.00%

505052

53

54546567707276778995

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0.00%20.00%40.00%60.00%

80.00%100.00%120.00%

00.5

11.522.5

33.5

44.5

Frequ

ency

Bin

Histogram

Frequency

Cumulative %

Cumulative % table and Chart can be constructed also by using thetools-->data analysis-->histogram function.

Proceeding as before simply check the Cumulative Percentage box to produce the table and graphsas shown

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Data

2 0 2 44 10 4 514 20 4 6 6

15 30 4 824 40 2 926 50 0 0 2 3 4 426 60 5 734 70 0 2 6 738 80 942 90 549

50505253

545465677072

76778995

A simple stem and leaf plot can be

First sort the data

Adjusting Column widths makes fo

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easily constructed.

r a neater appearance

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Function

AVEDEV

AVERAGE

AVERAGEA

BETADIST

BETAINV

BINOMDIST

CHIDIST

CHIINV

CHITEST

CONFIDENCE

CORREL

COUNT

COUNTA

COUNTBLANK

COUNTIF

COVAR

CRITBINOM

DEVSQ

EXPONDIST

FDIST

FINV

FISHER

FISHERINV

FORECAST

FREQUENCY

FTEST

GAMMADIST

Statisti

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GAMMAINV

GAMMALN

GEOMEAN

GROWTH

HARMEAN

HYPGEOMDIST

INTERCEPT

KURT

LARGE

LINEST

LOGEST

LOGINV

LOGNORMDIST

MAX

MAXA

MEDIAN

MIN

MINA

MODE

NEGBINOMDIST

NORMDIST

NORMINVNORMSDIST

NORMSINV

PEARSON

PERCENTILE

PERCENTRANK

PERMUT

POISSON

PROB

QUARTILE

RANK

RSQ

SKEW

SLOPE

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SMALL

STANDARDIZE

STDEV

STDEVA

STDEVP

STDEVPA

STEYX

TDIST

TINV

TREND

TRIMMEAN

TTEST

VAR

VARA

VARP

VARPA

WEIBULL

ZTEST

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Description

Returns the average of the absolute deviations of data points from their mean

Returns the average of its arguments

Returns the average of its arguments, including numbers, text, and logical values

Returns the beta cumulative distribution function

Returns the inverse of the cumulative distribution function for a specified beta distribution

Returns the individual term binomial distribution probability

Returns the one-tailed probability of the chi-squared distribution

Returns the inverse of the one-tailed probability of the chi-squared distribution

Returns the test for independence

Returns the confidence interval for a population mean

Returns the correlation coefficient between two data sets

Counts how many numbers are in the list of arguments

Counts how many values are in the list of arguments

Counts the number of blank cells within a range

Counts the number of nonblank cells within a range that meet the given criteria

Returns covariance, the average of the products of paired deviations

Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value

Returns the sum of squares of deviations

Returns the exponential distribution

Returns the F probability distribution

Returns the inverse of the F probability distribution

Returns the Fisher transformation

Returns the inverse of the Fisher transformation

Returns a value along a linear trend

Returns a frequency distribution as a vertical array

Returns the result of an F-test

Returns the gamma distribution

cal functions

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Returns the inverse of the gamma cumulative distribution

Returns the natural logarithm of the gamma function, (x)

Returns the geometric mean

Returns values along an exponential trend

Returns the harmonic mean

Returns the hypergeometric distribution

Returns the intercept of the linear regression line

Returns the kurtosis of a data set

Returns the k-th largest value in a data set

Returns the parameters of a linear trend

Returns the parameters of an exponential trend

Returns the inverse of the lognormal distribution

Returns the cumulative lognormal distribution

Returns the maximum value in a list of arguments

Returns the maximum value in a list of arguments, including numbers, text, and logical values

Returns the median of the given numbers

Returns the minimum value in a list of arguments

Returns the smallest value in a list of arguments, including numbers, text, and logical values

Returns the most common value in a data set

Returns the negative binomial distribution

Returns the normal cumulative distribution

Returns the inverse of the normal cumulative distributionReturns the standard normal cumulative distribution

Returns the inverse of the standard normal cumulative distribution

Returns the Pearson product moment correlation coefficient

Returns the k-th percentile of values in a range

Returns the percentage rank of a value in a data set

Returns the number of permutations for a given number of objects

Returns the Poisson distribution

Returns the probability that values in a range are between two limits

Returns the quartile of a data set

Returns the rank of a number in a list of numbers

Returns the square of the Pearson product moment correlation coefficient

Returns the skewness of a distribution

Returns the slope of the linear regression line

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Returns the k-th smallest value in a data set

Returns a normalized value

Estimates standard deviation based on a sample

Estimates standard deviation based on a sample, including numbers, text, and logical values

Calculates standard deviation based on the entire population

Calculates standard deviation based on the entire population, including numbers, text, and logical values

Returns the standard error of the predicted y-value for each x in the regression

Returns the Student's t-distribution

Returns the inverse of the Student's t-distribution

Returns values along a linear trend

Returns the mean of the interior of a data set

Returns the probability associated with a Student's t-test

Estimates variance based on a sample

Estimates variance based on a sample, including numbers, text, and logical values

Calculates variance based on the entire population

Calculates variance based on the entire population, including numbers, text, and logical values

Returns the Weibull distribution

Returns the one-tailed probability-value of a z-test