Investigating the relationship between the height and arm span of year 10 pupils and the spread of height of boys compared with girls.

Authors Avatar

Intro:  I will be investigating the relationship between the height and arm span of year 10 pupils and the spread of height of boys compared with girls.

Hypothesis: I believe that there will be a relationship between a persons height and arm span and as one grows in height arm span increases. Also I predict that there will be a greater variation in height in the boys compared with girls.

  • For relationship arm span V height I will draw a scatter diagram for my sample of 60 and compare it with the scatter graph for the population. I will calculate the mean arm span and height for my sample and compare it with the mean of the population. By doing this I shall see weather or not my sample is a good representation of the population.

  • For heights or arm span of boys and girls separately I will group the data in a frequency table, which will enable me to see the modal class clearly. I will use this frequency table to draw a cumulative frequency curve from which I will find the median and the interquatile range. I will also draw a histogram to observe spread and calculate standard deviation for the boys and girls separately

Sampling: The population of my investigation is 121.

                        I must take a sample of 60.

               

  1. 66 boys       Calculate proportion of boys and girls
Join now!

                 55 girls        in my sample of 60.23

E.g. Boys         66

                                   60 = 32.7…           33

                         121      

 

I need to choose 33 boys from 001 > 066 and 27 girls from 067 > 121.

I shall use my calculations to generate my ...

This is a preview of the whole essay