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• Level: GCSE
• Subject: Maths
• Word count: 1090

# Statistical Project Analysing the data from 30 students of 11th grade most which are 15, 16, and 17 years old.

Extracts from this document...

Introduction

 Weight (kg) Height (cm) Number of Student 68.4 182 1 75.7 187 2 45.8 178 3 66.3 181 4 82.8 194 5 75.8 181 6 55.1 182 7 72.9 187 8 69.8 186 9 68.3 180 10 58 173 11 62.7 178 12 65 185 13 48.7 172 14 71.1 187 15 63.5 183 16 72.8 180 17 63 184 18 52.6 175 19 54.5 179 20 68.2 184 21 63.3 179 22 60.9 172 23 67 183 24 66.1 179 25 73.4 185 26 75.5 188 27 65.8 184 28 76.3 187 29 64.6 185 30

Math IGCSE Statistical Project

Introduction

The data below has been collected from 30 students of 11th grade most which are 15, 16, and 17 years old. These students are from different regions which might show a differentiation in height and weight. Height is affected by mostly 3 factors which are genes, nutrition and age. Since this data is collected from students of 15, 16 and 17, it might not be a perfect analysis. However weight is mostly affected by nutrition and exercise.

OBSERVATION

Here we observe that most people who are tall weigh more than people who are not tall because as people get taller (grow), their body expands causing more weight to be put and so

Middle

PIE CHARTS

Height

MEAN

182+187+178+181+194+181+182+187+186+180+173+178+185+172+187+  183+180+184+175+179+184+179+172+183+179+185+188+184+187+185

30

182

EXTREME VALUES = 194 cm

MODE

187 as it appears 4 times

MEDIAN

172,172,173,175,178,178,179,179,179,180,180,181,181,182,182,183,183,184,184,184,185,185,185,186,187,187,187,187,188,194

182.5 =   182+183 ÷ 2 = 182.5

OBSERVATION

As we can see that the answer is exact and was very easy to calculate. However the mean was affected by the extreme value which in this case was 194 cm. The most height that appeared in the data was 187 as there were four students of that height. The median gave us the answer as a decimal which is a disadvantage but we can observe that the median was very close to the mean.

CONCLUSION

The average height (mean) of a student is 182 cm and the height that appeared most was 187 cm. The median was 182.5.

SIMPLE DATA IN TABLES OF HEIGHT

 194 188 187 186 185 184 183 182 181 180 179 178 175 173 172 Height 1 1 4 1 3 3 2 2 2 2 3 2 1 1 2 Frequency

GROUPED DATA IN TABLES OF HEIGHT

 190- 180- 170- Height(cm) 1 20 9 Frequency

OBSERVATION

Conclusion

CONCLUSION

The average weight (mean) of a student is 65.79 kg and the median was 182.5. There was no mode obtained.

SIMPLE DATA IN TABLES OF WEIGHT

 82 76 75 73 72 71 69 68 67 66 65 64 63 62 60 58 55 54 52 48 45 Weight 1 1 3 1 2 1 1 3 1 2 2 1 3 1 1 1 1 1 1 1 1 Frequency

GROUPED DATA IN TABLES OF WEIGHT

 80- 70- 60- 50- 40- Weight(kg) 1 8 15 4 2 Frequency
 Cumulative Frequency Weight(kg) 2 <50 6 <60 21 <70 29 <80 30 <90

LOWER QUARTILE = 62.7kg

UPPER QUARTILE = 72.8kg

MEDIAN = 66.2 kg

INTERQUARTILE RANGE = 10.1kg

OBSERVATION

Here the interquartile range was 10.1 kg which shows that this data is more spread than the data of height. The extreme value which in this case was 82.8 kg was avoided by using the interquartile range.

CONCLUSION

The interquartile range here is 10.1 kg.

HISTOGRAM OF WEIGHT

 80- 70- 60- 50- 40- Weight(kg) 1 8 15 4 2 Frequency 1 ÷ 10 = 0.1 8 ÷ 10 = 0.8 15 ÷ 10 = 1.5 4 ÷ 10 = 0.4 2 ÷ 10 = 0.2 Frequency Density

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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