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  • Level: GCSE
  • Subject: Maths
  • Word count: 1693

HypothesesMy hypotheses is 1) The taller you are the heavier you are.2) Boys are generally taller than girls.

Extracts from this document...

Introduction

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Aim

For my data handling coursework I am observing data about students at Mayfield High School. The number of students in each year varies. I have been given the data, so it is secondary data that I am using. I aim is to find the relationship between height and weight from a sample of randomly selected year 11 students. In order to aid this, I shall draw graphs to demonstrate whether or not my hypothesis is correct. Varying the types of graphs will enable me to come up with a more accurate conclusion to my results.  

Hypotheses

My hypotheses is

  1. The taller you are the heavier you are.
  2. Boys are generally taller than girls.

Collecting data required

I started of wanting a random sample of 30 boy’s and 30 girls from the huge amount of data that I had been given. I first considered writing down all the names of the 168 students in year 11 on paper, and giving them a number between 1 and 168, then picking them out of a hat. After some thought, I realised that it would take quite a bit of time.

...read more.

Middle

Tally

Frequency

1.30 ≤h <1.40

1

1.40 ≤h <1.50

0

1.50 ≤h <1.60

4

1.60 ≤h <1.70

7

1.70 ≤h <1.80

10

1.80 ≤h <1.90

6

1.90 ≤h <2.00

1

2.00 ≤h <2.10

1

Weight (kg)

Tally

Frequency

30 ≤w <40

3

40 ≤w <50

2

50 ≤w <60

13

60 ≤w <70

6

70 ≤w <80

3

80 ≤w <90

2

90 ≤w <100

1

          Girls

Weight (kg)

Tally

Frequency

30 ≤w <40

1

40 ≤w <50

15

50 ≤w <60

9

60 ≤w <70

5

70 ≤w <80

0

80 ≤w <90

0

90 ≤w <100

0

I found that the mean weight range or the boys, in my sample, was heavier than the girls.

To get the average weight of both boys and girls, I decided to find the mean, mode, median using the main big table on page   , this would mean that I get a more accurate perspective of the overall data. I also decided to find the range. To find the mean weight, I first added all the figures in the boy’s weight column then dived by the total amount of figures there are, which is 30. I.e. 66+63+57+56+…54+62+57 ÷ 30

This then gave me the mean weight of the boys. I did exactly the same method to find the mean height range by using the data in the height column.

...read more.

Conclusion

A and B to represent the information in the table. I have drawn the boys and girls together for both weight and height range. We can see form the graph that the boys are generally taller and heavier than the girls which confirms my hypotheses:

1) The taller you are the heavier you are.

  1. Boys are generally taller than girls.

Evaluation

To improve my investigation I could next time look at a bigger sample of data, rather than just 30. Keeping that in mind, I could use data from another school, possibly from another part of the country. I have evidence to suggest that the link between height and weight is valid if I restrict myself to one year group. I used year 11’s, so next time I could possibly use year 10 and 11.

Conclusion

My hypothesis,

  1. Boys are generally taller than girls
  2. The taller you are the heavier you weigh

 was proven to be correct from my sample of data. I had positive correlations and a slightly greater amount of averages for the boys than the girls. This is pretty much what I expected to happen, though a more definitive difference was expected from me. Despite this, I got a positive result and so I am happy with my end conclusion.

...read more.

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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