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• Level: GCSE
• Subject: Maths
• Word count: 3583

# Investigation on the weights and heights of boys and girls at Mayfield High School.

Extracts from this document...

Introduction

Kelvin Stapleton 10G4

Wednesday, 02 May 2007, 2:13:06 AM

Investigation on the weights and heights

of boys and girls at Mayfield High School

In this investigation I am going to use the secondary information in the datafile to get my data from.

In my investigation I am going to use the height and weight columns to get my data from and look at them to see how they change over the 5 year groups in the school. I picked these groups of data because they are better to use to find out whether the boys are taller than the girls in the year groups and how their heights and weights are related to each other. I assume the data is reliable because it comes from data based on a real school, but if I find any anomalous data I will make a note of it and not use it in my sample. The sample size I am going to use is a stratified sample of 10% of each gender in each year group. It will be fair because I will make all the percentages equal.

I hypothesise that the girls will be taller

Middle

48

70

1.58

40

56

1.73

66

72

1.60

41

68

1.55

50

76

1.48

47

79

1.77

66

82

1.63

52

94

1.65

49

97

1.57

38

 Year 9 boys Tally Frequency Cumulative frequency 1.31-1.36 0 0 (at 136.5) 1.37-1.42 0 0 (at142.5) 1.43-1.48 0 0 (at 148.5) 1.49-1.54 1 1 (at 154.5) 1.55-1.60 3 4 (at 160.5) 1.61-1.66 3 7 (at 166.5) 1.67-1.72 2 9 (at 172.5) 1.73-1.78 2 11 (at 178.5) 1.79-1.84 1 12 (at 184.5) 1.85-1.90 0 12 (at 190.5)

See Graph 5

 Year 9 girls Tally Frequency Cumulative frequency 1.31-1.36 0 0 (at 136.5) 1.37-1.42 0 0 (at142.5) 1.43-1.48 1 1 (at 148.5) 1.49-1.54 3 4 (at 154.5) 1.55-1.60 5 9 (at 160.5) 1.61-1.66 5 14 (at 166.5) 1.67-1.72 0 14 (at 172.5) 1.73-1.78 0 14 (at 178.5) 1.79-1.84 0 14 (at 184.5) 1.85-1.90 0 14 (at 190.5)

See Graph 6

 Year 10 Boys Girls ID HT WT ID HT WT 1 1.63 60 43 1.73 51 2 1.75 45 56 1.73 58 6 1.66 70 67 1.72 51 25 1.80 60 79 1.79 52 28 1.75 56 85 1.71 54 39 1.55 64 100 1.75 56 46 1.72 58 116 1.63 54 58 1.80 77 122 1.73 45 60 1.55 65 130 1.90 40 69 1.75 68 51 4.65 53 75 1.65 64 109 1.91 62 20 1.60 9 Year 10 boys Tally Frequency Cumulative frequency 1.31-1.36 0 0 (at 136.5) 1.37-1.42 0 0 (at142.5) 1.43-1.48 0 0 (at 148.5) 1.49-1.54 0 0 (at 154.5) 1.55-1.60 2 2 (at 160.5) 1.61-1.66 3 5 (at 166.5) 1.67-1.72 1 6 (at 172.5) 1.73-1.78 3 9 (at 178.5) 1.79-1.84 2 11 (at 184.5) 1.85-1.90 0 11 (at 190.5)

See Graph 7

 Year 10 girls Tally Frequency Cumulative frequency 1.31-1.36 0 0 (at 136.5) 1.37-1.42 0 0 (at142.5) 1.43-1.48 0 0 (at 148.5) 1.49-1.54 0 0 (at 154.5) 1.55-1.60 0 0 (at 160.5) 1.61-1.66 1 1 (at 166.5) 1.67-1.72 2 3 (at 172.5) 1.73-1.78 4 7 (at 178.5) 1.79-1.84 1 8 (at 184.5) 1.85-1.90 1 9 (at 190.5)

See Graph 8

 Year 11 Boys Girls ID HT WT ID HT WT 14 1.67 66 3 1.83 60 38 1.80 60 11 1.55 36 45 1.75 60 26 1.72 51 63 1.85 73 31 1.73 64 81 1.62 52 50 1.69 51 90 1.67 50 62 1.72 51 102 1.60 38 73 1.68 48 342 1.70 54 83 1.61 54 108 1.63 45 21 1.63 44

Can’t use as its the same as number 22

 Year 11 boys Tally Frequency Cumulative frequency 1.31-1.36 0 0 (at 136.5) 1.37-1.42 0 0 (at142.5) 1.43-1.48 0 0 (at 148.5) 1.49-1.54 0 0 (at 154.5) 1.55-1.60 1 1 (at 160.5) 1.61-1.66 1 2 (at 166.5) 1.67-1.72 3 5 (at 172.5) 1.73-1.78 1 6 (at 178.5) 1.79-1.84 1 7 (at 184.5) 1.85-1.90 1 8 (at 190.5)

See Graph 9

 Year 11 girls Tally Frequency Cumulative frequency 1.31-1.36 0 0 (at 136.5) 1.37-1.42 0 0 (at142.5) 1.43-1.48 0 0 (at 148.5) 1.49-1.54 0 0 (at 154.5) 1.55-1.60 1 1 (at 160.5) 1.61-1.66 2 3 (at 166.5) 1.67-1.72 4 7 (at 172.5) 1.73-1.78 1 8 (at 178.5) 1.79-1.84 1 9 (at 184.5) 1.

Conclusion

In year 10 the girls median is bigger than the boys and so is the mean so the girls are taller than the girls again. The the standard deviations are totally different again and the boys is larger than the girls which shows a smaller dispersion than the boys.this is also shown by the interquartile ranges. The upper and lower quartiles are also larger for the girls than the boys.

In year 11 my hypothesis is incorrect because the median shows hte boys re smaller than the girls but the mean shows the boys are taller so I think they are about the same as each other. The standard deviations are about the same so I think the pupils have stopped growing so much by then because they level out and have roughly the same standard deviation which shows that they have the same dispersion of the data. The upper and lower quartiles are also roughly the same as each other and the interquartile ranges are almost exactly the same as each other.

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