# I am going to investigate the relationship between the IQ and the Key Stage 2 results within this school. This will help me make and prove different hypothesis using the data I have obtained.

8Mayfield High School

Maths Investigation

The following data was provided for Mayfield High school.

Year Group

Boys

Girls

Total

7

51

31

282

8

45

25

270

9

18

43

261

0

06

94

200

1

84

86

70

Total

604

579

183

I am going to investigate the relationship between the IQ and the Key Stage 2 results within this school. This will help me make and prove different hypothesis using the data I have obtained.

The data I have been given presents the Key Stage 2 results in three separate columns, maths, English and science, I will add the three results together to give me one number, this will make them easier to handle.

I will first take a random stratified sample of my data throughout the whole school of 100 boys and 100 girls; I will take a sample of 100 as this number allows me to make sufficient conclusions without there being too little to conclude anything or too high that it would take too long.

First I will investigate IQ and KS2 results throughout all the years of the school then I will investigate the relationships separately amongst males and females.

I will take a random stratified sample. My sample size will be 100. I have chosen to take a stratified sample as this method takes around about the correct proportion of students according to how many there are compared with the rest of the school so the investigation is fair.

The total number of students in the school is 1183.

In a stratified sample, values are sampled from a particular group in proportion to the group's size within the whole school.

Therefore, I will multiply 100 by the number o boys/girls in each

1183

Year group.

The table below shows my results.

I will now randomly select the correct number of boys/girls from each year group using the random number button on my calculator.

Year Group

Boys

Girls

Total

7

3

1

24

8

2

1

23

9

0

2

22

0

9

8

7

1

7

7

4

Total

51

49

00

I will now randomly select the correct number of boys/girls from each year group. I will use the random number button on my calculator.

Total of KS2 Results (Mixed)

Total of KS2 Results

Frequency

7

0

8

9

5

0

0

1

0

2

26

3

2

4

3

5

9

6

7

8

2

Total

00

Total of KS2 Results (Boys)

Total of KS2 Results

Frequency

7

0

8

9

2

0

4

1

7

2

2

3

6

4

6

5

0

6

7

8

Total

51

Total of KS2 Results (Girls)

Total of KS2 Results

Frequency

7

0

8

0

9

3

0

6

1

3

2

4

3

6

4

7

5

9

6

0

7

0

8

Total

49

The evidence from the tables of results, suggests that more boys have a total of KS2 results above 13, than girls do, however it is only by a small amount.

Total of KS2 Results

Mean

Mode

Median

Range

Boys

2.75

2

2

0

Girls

2.6

2

2

9

The mean for boys is very slightly higher than that of girls. The range for boys' results is also a bit bigger than that of girls.

This evidence tells me that boys' boys in this school did slightly better than the girls did in their KS2 tests, although this evidence is not enough to prove much as the gap between boy's and girls results is only small.

7 out of 51 boys or 14% have a total of KS2 results from 7 to 10. While, 9 out of 49 or 18 % of girls have a total of KS2 results from 7 - 10.

3 out of 51 boys or 25% have a total of KS2 results from 15 to 18.

0 out of 40 girls or 20% have a total of KS2 from 15 - 18.

This shows that more boys have higher results in their KS2 results compared to the girls in this school, who did worse.

IQ

Frequency (f)

Mid point (x)

fx

70-80

75

75

81-90

4

85.5

342

91-100

6

95.5

528

01-110

9

05.5

2004.5

11-120

0

15.5

155

21-130

0

25.5

0

31-140

35.5

35.5

51

5240

IQ

Frequency (f)

Mid point (x)

fx

70-80

75

75

81-90

3

85.5

256.5

91-100

9

95.5

814.5

01-110

6
...