Name: Marlon Forrest Grade: 12 Subject: Applied Mathematics Unit: one Year submitted: 2013

Table of ContentProject title..3Purpose of project4Method of data collection5Presentation of data.6-11Analysis of data...12-19Discussion of findings.20-23Glossary ..24Reference.25Appendix..26-29

PROJECT TITLETo investigate and to find out the causes of student engaging in an extracurricular activity and how it affect their academic performance.

PURPOSE OF PROJECTExtracurricular activities are activities performed by student that fall outside the realm of the normal curriculum of school or university. Such activities are generally voluntary as opposed to mandatory, non-paying, social, and philanthropic as opposed to scholastic and often involve others of the same age group. It has been observed that the time the student spend in extracurricular activity affect the student overall school average. Therefore the researcher choose this topic to find out if the number of hours spent in extracurricular activity affect their performance.The benefits of doing this research is that data will be analyze on the student extracurricular activity and the problem will be recognized. The source will be student from various clubs. Another benefits is that alternative solution will be made for the student to the problem they are facing.

METHOD OF DATA COLLECTIONThe St. Mary High School has a population (N) of over fifteen hundred students. A sampling frame of 275 students, consisting of only grade 8 students was chosen for the observation due to the similarities in the subjects done by these students. A sample (n) of 30 students was selected to carry out this investigation. Data was collected by the use of questionnaire and observation.Questionnaire allows for firsthand information, they are easily administered and they are less time consuming. A random sample of 30 students was taken which consist of 5 students from each class.On the other hand, observation gives the researcher the ability to gather extra information with persons knowing.The method of data collection was judged to be appropriate due to the fact that the questions can be structured to gather only the information necessary for the investigation. There were no flaws because the questionnaires were given to randomly chosen respondents so as to prevent bias. In addition, the questions were clearly stated to prevent confusion so that they could be easily answered.The researcher was carried out on the January 15, 2013. Thirty (30) questionnaires were given out to the students that were randomly chosen for the investigation and all were completed and returned.

Figure1: Table showing number of respondents and their gender.SexNumber of Respondents

Male12

Female18

The table above shows the gender of the respondents who were chosen for the investigation.

The above bar graph shows the number of students which is in a extracurricular activity. There were twenty (20) student who engage in track and field, eight (8)student who engage in cadet and two (2) student who engage in quiz.

The above diagram shows the average number of hours spent students on the various clubs.The average number hours spent in track and field by students weekly is eight (8) hours, cadet accounted for five (5) hours while only three (3) hours was spent in quiz.

The above diagram shows the percentage of students who chose the various reasons for them engaging in extracurricular activity. Fifty percent (50%) said that they engage in the club for communication, twenty percent (20%) said leisure and trend while ten percent (10%) replied personal benefits.

The figure above shows the average number of hours spent studying based on the type of extracurricular activity the student engage in frequently. The students who engage in track and field spend an average of four(4) hours studying, students who engage in cadet spend an average of six (6) hours studying and those who engage in quiz spend an average of nine (9) hours studying.

CENTRAL TENDENCYThe figures below show the average grade for the students during the End of Term Exams 2011. They are as follows:38%50%52%55%56%57%58%60%62%63%65%66%68%70%72%74%75%80%80%80%80%81%82%83%84%84%85%86%87%93%Mean= =2126/30=70.87%Mean average of students in Term Exams 2011 = 70.87%

ModeMode= 80%The most frequent average grade scored in exams = 80%.

Median Median position= (n+1)th =1/2(30+1th =1/2(31)th =15.5 =16th16th position = 74%

PROBABILITYConditional ProbabilityIn order to ascertain the needed data about whether or not the number of hours spent in extracurricular activity affect the performance of the students in the exams, the researcher saw it necessary to conduct a probability test using conditionalprobability.Let G be the event that a student obtained an average grade of below 60% in the exam.Let H be the event that a student spent an average of 8 hours in an extracurricular activity.P (G/H) = P (GnH) = (5/30)= 0.167 = 0.2503 = 167/667 P(H) (20/30) 0.667

Let G be the event that a student obtained an average grade of below 60% in the exam.Let H be the event that a student spent an average of 8 hours in an extracurricular activityP (G/H) = P (GnH) = (15/30) = 0.50 = 0.7463 = 50/67 P (H) (20/30) 0.67

Chi- Square TestThe grades used below are the average grades of the students observed. They are described as low (below 51%), medium (between 50% and 80%) and high (above 79%). The average number of hours spent in an extracurricular activity was also used.Time (avg.)258Total

Low0112

Medium031215

High24713

Total282030

Table showing the hours spentin an extracurricular activity by students and their average grades.

Time (avg.)258Total

Low0.1330.5331.3332

Medium141015

High0.8673.4678.66713

Total282030

Contingency table

OE(O-E)2 E

00.1330.133

011

20.8671.481

10.5330.409

340.25

43.4670.082

11.3330.083

12100.4

78.6670.321

O=30E=30(O-E)2= 4.159 E

Expected Frequency = Row total * Column totalGrand total

Ho: The average grades obtained by students in their end of term exams and the number of hours spent in extracurricular activity are independent variables.H 1: The average grades obtained by students in their end of term exams and the number of hours spent in an extracurricular activity are not independent variables.Row * Column = (3-1) * (3-1) = 2*2 = 22 = 4x2= 4.15925% (4) = 9.488Since x2 = 4.159