• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

Comparison of heights of boys and girls at Mayfield high school.

Extracts from this document...

Introduction

Comparison of heights of boys

And girls at Mayfield high school.

My aim is to compare the heights of boys and girls at Mayfield high school.

There are 27 columns of data about each of the 1183 pupils at Mayfield high school making 31941 items of data.

This is way too much data for me to examine in the time specified for the task to be completed. So therefore i will need to take a sample from the data base to analyse.

Since the ages of the pupils are very likely to have an effect on the heights of the pupils, it is important that my sample reflects the distribution of ages accurately. If I took a simple random sample then I might get more pupils from one year and less in another, so to prevent that occurrence I will take a stratified sample.

...read more.

Middle

165

170

165

172

168

175

172

145

150

150

150

153

152

160

155

161

155

162

168

162

170

170

171

172

173

135

183

140

156

145

156

149

160

151

162

152

168

156

173

158

173

165

174

165

154

147

155

156

173

158

175

165

175

167

175

170

180

154

172

156

180

160

181

161

188

162

194

178

Now I have my data I will check to see if there are any unreasonable values. The tallest boy is 194cm this is very tall but also possible. The smallest boy is 136cm this is also quite small but still possible. The tallest girl is 178cm this is also possible and so reasonable. The smallest girl is 135cm this may seem small but is reasonable.

Now I will group the above data which I will use to structure two histograms.

Boys

Group

125cm

...read more.

Conclusion

Boys

Girls

Less than

Cumulative frequency

Less than

Cumulative frequency

<150

3

<150

6

<155

8

<155

13

<165

17

<165

28

<175

31

<175

38

<185

37

<185

40

<200

40

<200

40

 I have now drawn both Cumulative frequency curves on the same graph to make comparison easier and noted down the median and quartiles and from that I have drawn two whisker and box diagrams.

From the two whiskers and box diagrams I have been able to make these comments:

  1. 50% of boys are taller than the upper quartile for girls
  2. the shortest boys and girls are the same height
  3. boys on average are 7cm taller that girls
  4. 25% of girls are taller than the average boy
  5. 50% of boys are taller than the median for girls
  6. 75% of girls are shorter than the average boy

         I can also see that when using the histograms and the whiskers and box diagrams, that there are more short girls than short boys and more tall boys than tall girls.

...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.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

  1. Mayfield. HYPOTHESIS 1: Boys at Mayfield School are Taller and Weigh more on ...

    I have produced a Composite Bar Chart which is attached to the upcoming page The Pie Chart shows the percentage of each year in the School and these help me form my sample and this form of representing data is efficient accurate and eye catching and help form divisions in my data.

  2. I would like to know whether there is a link between ability in Maths ...

    Male 4 4 7 Male 4 4 7 Male 4 4 7 Male 4 4 7 Male 4 4 7 Male 4 4 7 Male 4 4 7 Male 4 4 7 Male 5 5 7 Male 5 5 7 Male 5 5 7 Male 5 5 7 Male 5

  1. HYPOTHESIS: Boys at Mayfield School are Taller and Weigh more average in comparison to ...

    boys grow rapidly at a later age where as girls grow faster from an earlier age and stop at a particular age also. This is shown since I have found that 2 students are of a height between 130- 139 cm, which shows that my data may be misleading or there is a lapse in growth.

  2. mayfield course work -boys are generally heavier than girl. This has to do with ...

    This suggests that the women's sample was more spread apart than that of me. Table 3 shows that the women's sample has a range of 59kg while the men's sample has a range of 29. However the estimated mean shows the men to be heavier than the women with an

  1. Statistics Mayfield High

    There is a low outlier at 84. The mean for the girl's data is 104 and SD is 9.8. The boy's box plot has a minimum value of 87 and a maximum value of114. The LQ is 96.5, the median is 100 and the UQ is 107; the IQR is 10.5.

  2. Handling Data - Mayfield High School

    If the curve is more or less symmetrical, 'bell-shaped', the data is normally distributed. I shall calculate the mean and standard deviation for boys' IQ, and then I will find whether the IQ of boys is normally distributed by finding if 68% of the data lies within 1 standard deviation

  1. maths coursework-Height and Weight of Pupils and other Mayfield High School investigations

    9 1.64 35 9 1.52 52 9 1.56 53 10 1.73 48 9 1.71 44 10 1.63 50 10 1.63 44 10 1.78 52 10 1.83 75 10 1.70 55 10 1.74 56 11 1.73 42 11 1.88 75 11 1.90 80 11 1.79 72 11 1.89 64 11 1.62

  2. Mayfield High School

    methods: Method 1: Each member receives a number which is written on a piece of paper. These pieces of paper are put into a container and mixed up very well to ensure that it is conducted fairly and is not bias.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work