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• Level: GCSE
• Subject: Maths
• Word count: 2439

# I am going to carry out an investigation to see what factors affect a pupils IQ. The factors that I will investigate

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Introduction

Statistics coursework-Investigation on school pupils

I am going to carry out an investigation to see what factors affect a pupils IQ. The factors that I will investigate will be how much TV the pupil watches a week, their writing hand and the pupil’s favourite school subject. To get my information I will use the database that is already saved on the school system. I will also collect primary data from a school to compare it to my secondary data. I will make a hypothesis and go through each of my points on my hypothesis describing what I need to do to try to prove my hypothesis correct.

Information needed

1.        For question 1 I will simply need to know how much TV a pupil watches a week. I already have this information in the secondary data but when collecting my primary data this will be something I need to find out.

Hypothesis

• In general, the pupils with the higher IQ’s watch less TV than the pupils with a lower IQ
• Females have higher IQ’s than males
• Right handed people will have a higher IQ than left handed people
• Pupils who have Maths as their favourite subject will have a higher.
• Pupils who have their favourite subject as an outgoing or creative subject like P.E or D.T will have a lower IQ.

Now I will go through my Hypothesis and say why I have included each point in my Hypothesis.

Hypothesis 1

Middle

110

Male

Both

Science

11

108

Male

Both

Maths

10

107

Male

Left

Music

5

82

Male

Left

French

26

100

Male

Left

Maths

11

96

Male

Left

English

10

111

Male

Left

Science

17

94

Male

Left

English

8

106

Male

Left

ICT

21

102

Male

Right

Maths

35

101

Male

Right

Geography

30

86

Male

Right

Science

18

108

Male

Right

English

14

78

Male

Right

Music

32

95

Male

Right

P.E

47

96

Male

Right

Science

41

100

Male

Right

Maths

29

99

Male

Right

English

3

109

Male

Right

Music

36

102

Male

Right

P.E

21

103

Male

Right

English

23

100

Male

Right

Maths

7

126

Male

Right

P.E

12

130

## Analysing

Hypothesis 1 –

In general, the pupils with the higher IQ’s watch less TV than the pupils with a lower IQ

I need to prove that generally, the pupils with a high IQ don't watch a great deal of television. I will only compare the top 100 pupils to the rest of the school. I think that the majority of the pupils with a high IQ will watch less than 10 hours of TV per week and only a few will watch more than 20 hours of TV per week.

The first thing I decided to do was create a pie chart of how much TV the higher IQ students watch a week and compare it to a random sample of the whole school and how much they watch a week. Here is the pie chart showing how much TV the pupils with a high IQ watch a week.

I used random number sampling on the whole school to determine what 100 pupils I would compare this pie chart to. Here is the ID numbers of the 100 pupils that came up in the random sample:

 ID 19 315 344 870 623 497 468 110 1001 943 412 440 359 1053 955 522 471 215 881 587 368 337 58 832 1071 447 220 1019 728 852 205 229 701 648 889 89 398 1048 944 766 131 170 800 598 677 173 405 999 955 818 559 162 975 846 988 515 18 859 966 622 374 343 867 827 943 46 140 751 707 689 15 102 627 631 812 385 94 1040 811 770 308 181 631 827 501 232 901 699 199 487 673 803 50 186 648 904 164 111 921 994

Here is the pie chart showing how much TV they watch per week.

Conclusion

emale

Right

Music

4

132

Male

Right

P.E

12

130

Male

Right

Maths

7

126

Female

Right

Geography

22

124

Female

Right

Maths

4

121

Female

Right

Maths

35

117

Female

Right

Maths

27

111

Male

Left

English

10

111

Female

Right

P.E

18

110

Female

Right

ICT

8

109

Male

Right

English

3

109

Male

Both

Science

11

108

Male

Right

Science

18

108

Male

Both

Maths

10

107

Male

Left

English

8

106

Here is the random sample of 15 from ‘Bishops Down’.

 Writing Favorite Av. Hours TV Gender Hand subject viewing per week IQ Female Right English 34 95 Male Left Science 17 94 Female Right Geography 17 97 Male Right English 14 78 Male Right P.E 12 130 Female Right ICT 8 109 Female Left Music 17 87 Female Right Science 41 90 Male Right Science 41 100 Male Left ICT 21 102 Male Right English 23 100 Female Right French 6 104 Female Right Geography 15 93 Male Left English 10 111 Male Right Maths 29 99

Here are the two pie charts showing how much TV pupils in Bishops Down Primary School watch per week. Each pie chart was based on a sample of 15.

In both pie charts I have moved the sections that I believe represent the people who watch too much TV. As you can see, there are more people who watch a lot of TV with a lower IQ. You can also see that the portion of people with a higher IQ that watch 10 hours or less is over double the amount than that of the random sample of the entire school.

Here are two tables showing the cumulative frequency of the number of hours of TV watched per week by the pupils with a high IQ and by the sample of 100 from the entire school.

Below: The amount of TV watched by pupils with a high IQ per week. Sample of 100.

 TV viewing hours per week, h Frequency Cumulative Frequency 0    < h ≤   10 38 38 10  < h ≤   20 37 75 20  < h ≤   30 13 88 30  < h ≤   40 7 95 40  < h ≤   50 1 96 50  < h ≤   60 1 97 60  < h ≤   70 1 98 70  < h ≤   80 1 99 80  < h ≤   90 0 99 90  < h ≤   100 1 100

Below: The amount of TV watched per week by pupils in the school. Sample of 100.

 TV viewing hours per week, h Frequency Cumulative Frequency 0    < h <=   10 25 25 10  < h <=   20 46 71 20  < h <=   30 17 88 30  < h <=   40 7 95 40  < h <=   50 3 98 50  < h <=   60 1 99 60  < h <=   70 0 99 70  < h <=   80 1 100

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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