I am to find a relationship between height and weight for both male and females attending Mayfield High School in key stage three.

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Mathematics Coursework                                          Handling data-Statistics

Mayfield High School

Aim

I am to find a relationship between height and weight for both male and females attending Mayfield High School in key stage three.

Plan

In this coursework I will be attempting to find out the average between height and weight of both genders, male and female. Out of 1200 students, I will pick 60 students at random, 30 boys and 30 girls from Mayfield High School.

I will then gather all the information required by randomly selecting 60 students out key stage three from Mayfield High School. The random selection will consist of 30 boys and 30 girls.

I will collect the random selection of students using a calculator. I will press shift and Ran _random) buttons which will give me a number between 1-0. Using this number I will multiply it by 1200 (i.e. the amount of students attending Mayfield high school). I will then round the number to nearest integer. This will then give me a random number. I will do this for both boys and girls.

After I have gathered all the information I will assemble the information into a tally and a frequency table. I will then have to find the mean, mode, median and range of height and weight of both boys and girls.

I will then put the information collected in to different graphs and tables, such as stem and leaf graphs, frequency polygons and histograms. I will do this for each set of data collected to make everything simple and understandable.

Prediction

I predict that there will be a relationship between the height and weight of both male and female, hence I say that there will be a positive correlation between the weight and height of both genders.

I have selected a random selection of boys and girls. In total I have picked 60 students 30 of each gender.

Boys

Girls

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Tables for Height & Weights

I need a more useful representation of this data. Here are frequency tables for weight and height separated into boys and girls.

Boys

The above is a frequency table of the height and weight of Boys.

Girls

The above is the height and weight which has been put into a frequency table for girls.

I could now make a statement to compare the weight of boys and girls.

‘The mode shows that boy’s weight in my sample was higher than ...

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