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  • Level: GCSE
  • Subject: Maths
  • Word count: 3076

Mayfield High School investigations

Extracts from this document...

Introduction

GCSE Statistics Coursework

Introduction

I have been given data on Mayfield high school. The data is provided on each student such as: Name, Age, Year Group, IQ, Weight, Height, Hair Color, Eye Color, Distance from home to school, usual method of travel to school, Number of brothers or sisters, Key stage 2 result results in English, Mathematics and Science. There total number of students at the school is 1183. I am going to find out the relationship between Gender and Weight, Age and Weight and IQ and weight.

I will need to include the following information: Age, Years, Gender, Height, Weight, and IQ. I can find this information from the data given. I have chosen these sources of information because they are related to my hypotheses. I know this data is reliable because this data was collecting from real life.

Plan

First, I will make 3 hypotheses about the students in Mayfield high school. Then I am going to do a pilot study to check my hypotheses. Then I will investigate each hypothesis by using stratified sample to find out the data.  

Hypothesis

I am going to investigate 3 hypotheses on Mayfield high school:

  1. Boys are heavier than Girls
  2. Year 11 boys are heavier than Year 7 boys
  3. People who are heavier have the lower IQ

Pilot Study

To start this pilot study, I will choose data randomly, 5 girls and 5 boys. There are 5 in year 11 and 5 in year 7.  I am going to investigate about different people have the different weight and how weight affect people’s IQ. I predict that (1) boys are heavier than girls, (2)

...read more.

Middle

41

8

13

Male

102

51

8

13

Male

100

52

9

14

Female

102

52

9

14

Female

100

60

9

14

Female

101

36

9

14

Female

100

65

9

13

Female

91

48

9

14

Female

122

40

9

14

Male

116

60

9

13

Male

90

60

9

14

Male

107

54

9

14

Male

101

70

9

14

Male

92

52

10

15

Female

103

45

10

15

Female

116

60

10

15

Female

94

66

10

15

Female

95

56

10

15

Male

89

60

10

15

Male

103

45

10

15

Male

94

49

10

15

Male

91

70

11

16

Female

98

60

11

16

Female

108

52

11

16

Female

104

54

11

15

Female

90

56

11

16

Male

113

66

11

16

Male

105

57

11

16

Male

101

60

11

16

Male

121

63

One of the data from the ordinary data is wrong:

Year Group

Age

Years

Gender

IQ

Weight (kg)

8

13

Male

106

5

There is an error in the weight column because it is impossible to have 5kg of weight when a person is 13 years old.

And this data for my second hypothesis:

Year Group

Age

Years

Gender

IQ

Weight (kg)

7

12

Male

101

44

7

11

Male

97

53

7

11

Male

99

48

7

12

Male

109

40

7

12

Male

101

26

7

12

Male

112

45

7

11

Male

100

40

7

11

Male

100

41

7

12

Male

101

45

7

11

Male

99

38

7

12

Male

108

37

7

12

Male

97

43

7

12

Male

100

25

7

12

Male

98

50

7

12

Male

104

45

7

12

Male

97

35

7

12

Male

72

38

7

12

Male

106

69

7

12

Male

107

50

7

12

Male

92

41

7

12

Male

102

43

7

12

Male

100

53

7

12

Male

109

40

7

11

...read more.

Conclusion

The formula for calculating a standard deviation = √Σ(x-x)2 ÷ n

Σ= the sum of, x= midpoint, x= mean, n= Total frequency.

This is the standard deviation for year 7 boys.

426.84+245.24+113.64+32.04+0.44+18.84+87.24+205.64+374.04+592.44

=2096.4

=√2096.4÷32

=√65.5125

=8.09

This is the standard deviation for year 11 boys.

320.05+166.15+62.25+8.35+4.45+50.55+146.65+292.75+488.85

=1540.05

=√1540.05÷18

=√85.5583

=9.24

Conclusion

I have found out that year 11 boys are heavier than year 7 boys. The median of year 11 boys is 58.5kg and a year 7 boy is 42.5kg. The average weight for year 7 boys is 43kg and for year 11 boys is 60.77kg. My hypothesis was correct. I have proved it by doing 2 cumulative frequency graphs and 1 box and whisker diagram. Now I am going to investigate the third hypothesis. I will do a scatter graph to find out the relationship between weight and IQ.

Investigation of hypothesis 3

People who are heavier have the lower IQ

I predict that people who are heavier have the lower IQ. I will do a scatter graph to find out the relationship.

Here is the graph to show the relationship between weight and IQ:

image08.png

I did a scatter graph and I plot a line of best fit. The graph shows that there is a very weak negative correlation between weight and IQ. In my pilot sample there is no correlation between them because I only had 10 samples and now I have 50 samples. So it shows the correlation clearer. There are some outliners on the graph because they might be the unfit people.

Conclusion

I had found out that there is a weak negative correlation between weight and IQ. This means that if the weight is higher the IQ maybe lower. My hypothesis is correct. I have proved it by doing the scatter graph.

...read more.

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