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• Level: GCSE
• Subject: Maths
• Word count: 1009

# 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.

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

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.

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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