AppliedMathematicsInternalAssessmentUnit 1

Title Page

Candidate Name: Linae HendricksTeacher: Mrs. Moonah- AllenInternal Assessment: Applied Mathematics Unit 1School: St. Marys highCentre number: 100112Registration number:Year of examination: 2015Territory: Jamaica

Table of Content

Project title..4Purpose of project...5Method of Data Collection..6Presentation of data7Analysis of data..13Discussion of findings/ Conclusion...17Reference20 Appendices.21

Project title

An investigation into the effects that dancehall music has on the students at my school.

Purpose of projectMusic plays an important role in the lives of teenagers nowadays; commonly among high school and college students. Dancehall is becoming an increasingly popular genre of music amongst adolescents. According to Marcia Forbes study entitled Dancehall Dilemma on Jamaican music: 17 genres of music were listed and 31. 7% of the respondents chose dancehall, 5% chose reggae and 4. 8% chose hip hop as their favourite genre of music. It has also been observed that the lyrics in these songs are explicit, violent and contains sexual messages that promotes promiscuity among our teens and discourages children to stay in school. Therefore, the researcher chose this topic to find out the various effects that dancehall music has on these students.The benefits of doing this research are that data will be collected from students who are a part of this trend; possible causes, effects and solutions and recommendations will be highlighted.

Method of data collection

There are over 1600 students currently attending the St. Mary High School. To complete this research, 21 students will be randomly selected through the simple random technique; that is, 3 students from each grade.The quantitative method of paper- pencil questionnaires will be utilized, seeing that this method can be used for a wider population, the use of questionnaires saves the researcher time and because of their anonymity, more truthful answers will be revealed.Due to the random selection, the will be no bias and thus resulting in no flaws. The research was carried out on December 9, 2014. 21 questionnaires were distributed to the randomly chosen students and were completed and returned.

Presentation of Data

The pie chart in figure one shows how much time students spent studying. According to the diagram 5(24%). Students spent under one hour studying. 9(43%) spent 1-2 hours studying, 4(19%) students spent 3-4 hours studying and 3(14%) students spent over 4 hours studying.

Presentation of Data

The bar chart in figure 2 shows how long students listened to music. From the data collected it can be noted that 3 students listened to music for less than an hour, 5 students for 1-2 hours, 5 students for 3-4 hours and 8 students for over 4 hours.

Presentation of Data

The bar chart in figure 3 shows which genre of music displays the most sexual behaviour. 3 students responded that souls displayed the most, 7 said R & B, 8 said Dancehall and 7 said Hip Hop.

Presentation of Data

The table shown in figure 4 gives the activities encouraged by dancehall music. 5 of the students agreed that sexual activities are encouraged, 5 also said violence, 4 said drinking and smoking, 5 said all of the above and the latter, 2, said none of the above.

Presentation of Data

The chart in figure 5 shows the impact of dancehall has on the students. 4 (24%) students responded that it had a large impact on them, 3 (14%) said that it had a moderate impact, 6 (33%) said it had a little impact and 7 (29%) said that it had no impact on them.

Presentation of Data

The chart in figure 6 shows how students plan to achieve academic success. 6 of the respondents said that they will do so by studying and giving dancehall music a break. 3 of the respondents said that they would listen to music and ignore their academic studies. 5 of the respondents said that they would be able to multitask; doing their work and listening to music. And 7 of the respondents said that they would make a timetable and set various times for varying tasks.

Analysis of dataMODULE ONEMEASURES OF CENTRAL TENDENCYAgeNo. of Students

11-136

14-169

17-186

The age of the students that took part in this research are as follows:

AgeNo. of StudentsMid PointF(x)

11-1361272

14-16915135

17-18617.5105

f=21fx=312

MEAN Mode MEDIANx= fx/f L1 + 1 cx= 312/21 1 + 2x= 14.8x= 15 (1d.p) 1= 14-6 2= 14-6 =14 + 6 12 6 + 6 = 14+ (6/12) 2 = 14+ 0.5 2 = 14 + 1 x= 15

Analysis of DataMODULE ONEMEASURES OF DISPERSION

STANDARD DEVIATION 5, 5, 4, 5, 2Mean 4.2

Therefore: (Xi )2 n(X ) = (5--4.2)2 + (5--4.2)2+ (4--4.2)2 + (5-4.2)2 +(2-4.2)2 = 0.64+ 0.64+ 0.4 + 0.64 + 4.4 = 6.72/5 = 1.34 = 1.15 (1 d.p)

Analysis of DataMODULE TWOProbability

Question 12

Which of the following scenarios will better enable you to achieve academic success? Studying my books and giving the dancehall music a break P(S) Listening to music and ignoring my studies P(L) Multi-tasking; listening to music and doing school work at the same time P(M) Make a timetable to effectively carrying out tasks. P(T)

P(S)= 6/21= 0.3 (1 d.p)P(L)= 3/21= 0.1 P(M)= 5/21= 0.2P(T)= 7/21= 0.3

P( Studying or Listening to music or Multi tasking or Making a timetable)= 0.3+ 0.1+ 0.2+ 0.3= 0.9P( Not doing any of the following)= 1-0.9= 0.1

Analysis of DataMODULE THREEThe Distribution of the Sample MeanFor how long do you listen to music?

~ N (, 2/n) ~ N (5.25, 4.552/5) ~N (5.25, 4.14)The probability that the mean time is less than 10.P ( < 10) = P (Z