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  • Level: GCSE
  • Subject: Maths
  • Word count: 1821

Compare the IQ and Number of Hours of TV watched per week.

Extracts from this document...

Introduction

Aim:

              To Compare the IQ and Number of Hours of TV watched per week. Then compare the results with Key Stage 2 results.

Sample:

              I have collected a stratified sample, taking an equal proportion of boys and girls of each year group. I have 55 pieces of data. The data ranges from year 7 up to year 11 (11 year olds to 16 year olds).

Year

Surname

Forename

Age

Gender

Average Number of Hours

IQ

Key Stage 2

Group

TV watched per week

English

Maths

Science

7

Biddle

Vicky

11

Female

10

103

4

5

5

7

Anderson

Lisa

12

Female

16

104

4

5

5

7

Carol-Mcardle

Lauren

12

Female

20

106

5

4

5

7

Kelly

Jessica

12

Female

14

79

3

3

3

7

Thompson

Maddie

12

Female

49

91

3

4

4

7

Anderson

Mark

11

Male

1.5

100

4

4

4

7

Lucas

Mark

11

Male

28

98

4

3

4

7

Ashcroft

Wayne

12

Male

23

108

5

5

5

7

Hardy

Jake

12

Male

13

101

4

4

4

7

Morrison

Anthony

12

Male

20

109

5

5

5

7

Pearce

Stuart

12

Male

10

97

3

4

3

7

Rider

Andrew

12

Male

15

102

4

4

5

8

Cassel

Diane

12

Female

5

111

5

4

5

8

Watson

Bethany

12

Female

12

106

4

5

5

8

Castle

Natalie

13

Female

14

100

4

4

4

8

Healy

Emily

13

Female

13

94

3

4

3

8

Kim

Sannita

13

Female

14

81

3

3

3

8

Nedpod

Jane

13

Female

30

99

4

4

4

8

Ashton

Luke

13

...read more.

Middle

13

Male

15

90

3

3

3

9

Butts

Simon

13

Male

15

100

4

4

4

9

Crawford

Jamie

13

Male

22

107

5

5

5

9

Edwards

John

13

Male

8

100

4

4

4

9

Gorst

Lee

13

Male

30

116

5

5

5

9

Jags

Phil

13

Male

12

102

4

5

4

10

Brown

Emily

15

Female

7

105

4

4

5

10

Connerly

Jenny

15

Female

25

94

2

4

4

10

Hall

Faith

15

Female

14

110

4

4

4

10

Johnson

Leigha

15

Female

9

107

5

4

5

10

McVey

Joanne

15

Female

14

103

4

4

5

10

Leahy

Cliff

14

Male

30

103

4

5

4

10

Roley

Sam

14

Male

31

101

4

3

4

10

Abejurouge

Henry

15

Male

42

89

3

3

3

10

Lock

Lee

15

Male

7

106

4

4

4

10

Logs

Paul

15

Male

35

100

4

4

4

11

Ratty

Louise

15

Female

20

111

4

4

4

11

Flawn

Elise

16

Female

10

101

3

4

4

11

Hakins

Danielle

16

Female

5

100

4

4

4

11

Kay

Nadia

16

Female

15

107

4

4

6

11

Thompson

Kamara

16

Female

6

89

3

3

4

11

Fasworth

John

16

Male

45

96

4

3

4

11

Hughes

Mark

16

Male

35

106

4

4

5

11

Simmons

Russell

16

Male

15

108

5

5

5

11

Singh

Norman

16

Male

20

96

3

4

4

Frequency Charts:

Boys

Girls

The mode IQ for girls is the same as boys, however the spread of IQ for boys is higher than for girls.

My sample shows that there will be more boys with an IQ of over 100 than girls.

Mean IQ:

Mean IQ for boys = 102

Mean IQ for girls = 101.1

Modal Class Interval IQ:

MCL IQ for boys = 100-105

MCL IQ for girls = 100-105

Median IQ:

Median IQ for boys = 100

Median IQ for girls = 103

Range of IQ:

Range of IQ for boys = 45

Range of IQ for girls = 37

IQ

Mean

Modal Class Interval

Median

Range

Boys

102

100-105

100

45

Girls

101.1

100-105

103

37

The 3 averages all gave me different results. The mean stated that boys have a higher IQ; the MCI stated that they are equal and the median stated that the girls have a higher IQ. From this I can deduce that it is inconclusive, however boys’ and girls’ average IQ’s are roughly similar.

My sample suggests that 83% of boys have an IQ between 95 and 110, where as only 59% girls have an IQ between 95 and 100.

Average Hours TV watched

Mean

Modal Class Interval

Median

Range

Boys

20.5

10 to 15

14

43.5

Girls

14.9

15 to 25

20

48

...read more.

Conclusion

Hours of

Lower

Upper

Interquartile

TV Watched

Quartile

Quartile

Range

Mixed

14.25

42.75

28.5

Boys

7.25

21.75

14.5

Girls

7

21

14

The box and whisker diagrams show that the amount of TV watched between boys and girls is similar. However, the boys watch 12 minutes more per week.

The Median Amount of TV watched is:

Boys: 20

Girls: 14

The cumulative frequency graph shows that:

  • 19/28 girls watch less TV than the median of boys.
  • 23/29 boys watch more TV than the median of girls.

This means that, whilst in general, boys watch more TV; the evidence suggests that 39% of girls watch more than the median for boys.

Results:

The scatter diagrams did not show a very good correlation and neither did the averages nor Interquartile range. This may be because not enough samples were used. There is a possibility, if I had used 100 or more samples I would have found a correlation.

My hypothesis stated that people with higher IQ would watch less TV, or words to that effect. This was wrong, because on average girls watched less TV and boys were more intelligent.

I tried to reduce the limiting factors, by taking a stratified sample, rather than a random sample.  

...read more.

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