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# Investigate the relationships between height and weight

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Introduction

G.C.S.E MATHS COURSEWORK

CLEMENTSWOOD HIGH SCHOOL

Introduction

In this coursework I am to investigate the relationships between height and weight. To do this I will be drawing graphs to see if the correlations are weak or strong and if it turns out to be positive or negative correlation.

I will be using pilot study in order to test if the hypothesis is right or wrong. I will then go on to investigate me anomalous result and justify my results.

I will finally investigate the results from the random selection of children from Clementswood High School.

Hypothesis

I am going to investigate the relationships between height and weight. I chose this hypothesis because it seems to be the most interesting to study. My expected result will be clear and will show a strong relationship between height and weight in year groups and gender. To prove my hypothesis I will use tables such as box and whisker diagrams and use various methods to pick my data randomly to show it doesn’t have biased results.

Middle

YEAR 10

9

11

20

YEAR 11

8

8

16

117

YEAR 7 MALE (height & weight)  The correlation of height and weight in this graph of Year 7 male is weak.

YEAR 7 FEMALE (height & weight)  The correlation of height and weight in this graph of Year 7 Female is strong.

YEAR 8 MALE (height & weight)  The correlation of height and weight in this graph of Year 8 Male is not quiet strong.

YEAR 8 FEMALE (height & weight)  The correlation of height and weight in this graph of Year 8 Female is strong.

YEAR 9 MALE (height & weight)  The correlation of height and weight in this graph of Year 9 Male is strong.

YEAR 9 FEMALE (height & weight)  The correlation of height and weight in this graph of Year 9 Female is Weak.

YEAR 10 MALE (height & weight)  Conclusion

Year 7 Females

Height (Lower Quartile and Upper quartile)

Lq 1.03           Uq 1.54

Iqr 0.51

The outliers are 1.03 and 1.54 but there are no anomalies in this data

Weight (Lower and Upper quartile)

Lq 40             Uq 70

Iqr 30

The outliers are 26.875 and 61.875 but there are no anomalies is the data

Year 7 Males

Height (Lower Quartile and Upper Quartile)

Lq 147          Uq 159.5

Iqr 12.5

The outliers are 134.5 and 172

Weight

Lq 39.5        Uq 49.5

Iqr 12.5

The outliers are 29.5 and 59.5

Year 8 Females

Height (Lower Quartile and Upper quartile)

Lq 155          Uq   163

Iqr   8

The outliers are 145 and 173

Weight (Lower and Upper quartile)

Lq 45            Uq 52

Iqr 7

The outliers are 36.25 and 60.75

Year 8 Males

Height (Lower Quartile and Upper Quartile)

Lq 152        Uq 162

Iqr 15

The outliers are 133.25 and 185.75

Weight

Lq 38        Uq 52

Iqr 14

The outliers are 20.5 and 69.5

Year 9 Females

Height (Lower Quartile and Upper quartile)

Lq 153          Uq   162

Iqr   9

The outliers are 141.75 and 173.25

Weight (Lower and Upper quartile)

Lq 45.25      Uq 52

Iqr 6.25

The outliers are 36.8125 and 60.4375

Year 9 Males

Height (Lower Quartile and Upper quartile)

Lq 154.25    Uq 172.5

Iqr 18.25

The outliers are 131. 4375 and 195.3126 but there are no anomalies in this data

Weight (Lower and Upper quartile)

Lq 45.5         Uq 60

Iqr 14.5

The outliers are 27.375 and 78.125 but there are no anomalies in this data

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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