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  • Level: GCSE
  • Subject: Maths
  • Word count: 4598

Investigate whether boys are bigger than girls.

Extracts from this document...

Introduction

Statistics Coursework

Aim

In this coursework, I want to investigate whether boys are bigger than girls. I have to take into consideration weight and age, as this will affect the height. A boy of 16 years old will, almost certainly, be taller than a girl of 11 years old. I will split the data into age groups to combat this problem and compare data of pupils in the same year. The data I am using is from Mayfield School and Ridgewood School. I want to see whether pupils have a growth spurt in a certain year and if shorter people are generally heavier than taller people. I want to investigate this because it is a very interesting subject that, I believe, hasn’t been looked into before.

Hypothesis

I think that boys will be taller than girls. I think that boys will have more spread out data than girls and that boys will have their growth spurts in years 9-10 However, I think that girls will have less spread out data apart from year 9, when I think that girls will have their growth spurts.

Plan

I am going to carry out my investigation by looking at 2 sets of data. The first set is Mayfield School, this is secondary data. There are 1183 pupil’s data, including height, year group, weight and gender. In the Ridgewood data I have 396 pupils data, including height, gender and year group. This is primary data. If I collect data myself, primary data, then I know how it has been collected, however, this could be very times consuming and expensive.

...read more.

Middle

  166                                             170                            

  171                                    166

  169                                    174

  154                                    172

  173                                    180

  170                                    176

  172                                    164

  169                                    172

=3324/20                                                  =3457/20

=166.2cm                                                =172.85cm

Average for year 11 girls = 180 +         Year 11 boys = 186

                                    174                                      188

                                    170                                      178                                                                      167                                      172

                                             175                                         181                                                       171                                          183

                                             176                                      175

                                    168                                      186

                                    165                                      180

                                    176                                      185

                                    157                                      177

  1. 179

                   172                                             182

                          165                                   181

                    173                                   177

 171                                   179

                    168                                       183

                    167                                       173

                    170                                       177

=3234/19                                                  =2422/19

=170.21cm                                               =180.11cm

Year 9 girls average

Year 10 girls average

Year 11 girls average

Year 9 boys average

Year 10 boys average

Year 11 boys average

  163.2

166.2

170.21

169

172.85

180.11

In the table above I have shown all three years averages, both genders.  

    My tables show that boys, on average are taller than girls. The boys have been taller than girls in all three years. They have also shown the most growth increase, the biggest increase being in years 10 to 11, where, on average, they grew 7.26cm. This must be when boys have their growth spurts, years 10-11. Since the girls have shown no major increase in height between the years, I can presume that they had there growth spurts between the years 7 and 9.

    My results support my hypothesis. I stated that boys are taller than girls and, on average, that is correct. As you can see, on the box and whisker plots, the year 9 boys have the most spread out data, ranging from 150cm to 187cm. The year 11 boys are, by far, on average, the tallest. Their data is squashed up onto the right hand side of the page, towards the higher end of the scale.

Pie Chart Calculations

I am going to draw a pie chart to show the increase in height between years in both the boys and girls. As you can see from the tables, the girls increased in height 3cm from year 9 to 10 and 4.01cm from year 10 to 11. The boys, however, grew, on average, 3.85cm from year 9 to 10 and 7.26cm from year 10 to 11.

girlsboys

Years 9-10 = 3cm increase               Years 9-10 = 3.85cm increase

Years 10-11 = 4.01cm increase        Years 10-11 = 7.26cm increase

Total = 3 + 4.01 + 3.85 + 7.26

         = 18.12

3 / 18.12                                             3.85 / 18.12

= 0.

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Conclusion

13.5 and under 14

14 and under 15

Then I should get the average for year 9 girls.

157.18+159.36+161.69= 478.23/3

                                    = 159.41

My average for year 9 girls was 163.2cm so my results are over the average of census at schools.

Year 9 boys

156.97+161.62+166.80= 485.39/3

                                     = 161.80

My average for the year 9 boys is 169cm so my results are over the average of census at schools.

Year 10 Girls

Year 10 girls are aged 14 to 15 so I will use the column, 14 and under 15.

The average for the census at school is 161.69cm, my average is 166.2cm. My results are over the census at schools.

Year 10 Boys

My average for the year 10 boys is 172.85cm. The census at schools average for year 10 boys is 166.80. My results are over the census at schools results.

Year 11 Girls

For the year 11 girls and boys I will use the column, 15 and under 16. The census at schools average for year 11 girls is 162.84cm. My results for year 11 girls are 170.21cm. My results are over the census at schools results.

Year 11 Boys

My average for year 11 boys was 180.11cm. This was over the census at schools, which were 172.69.

My results for every year and both genders were above the average of census at schools.

Conclusion

Although, comparing my results to a larger source of secondary data, they were over the average of my secondary source; my results have supported my hypothesis.

   My results are different to the larger secondary source, but there is not a very dramatic increase between the two sets of data. So, my results are meaningful and are representative of the population.

   My results could be used in the real world with things such as cloth sizes. Cloth manufacturers know what size to make clothes for the different age groups and genders and they will know how size varies between the years and genders.

...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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