Mayfield High School is a school for students aged 11-16. Although fictional, the data is based on a real school.

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Benjy Masher 11LF

Maths Coursework

Mayfield High School is a school for students aged 11-16. Although fictional, the data is based on a real school.

This table shows how many boys and girls there are in Mayfield:

The total number of students is 1200

Data is provided on each student as

Name, Age, Year group, IQ, Weight, Height, hair colour, eye colour, shoe size, Distance from home to school, Usual method of travel to school, number of brother or sisters, Key stage 2 results in English, Mathematics and Science, Key Stage 3 results in English, Mathematics and Science.

There are a number of possible lines of inquiry one can take including

  • The variations in hair colour,
  • The variations in eye colour,
  • The relationship between the above two colours,
  • Shoe sizes,
  • The distances travelled to school,
  • The relationship between shoe size and height,
  • The relationship between two sets of key stage 2 and/or 3 results,
  • The relationship between IQ and Key stage results,
  • The height to weight ratio in terms of the body mass index.

In my project I will be investigating the relationship between height and weight

Collecting the data

I will begin taking a random sample of 30 boys and 30 girls from the database of the schools pupils, and recording their height and weight. The reason why I am taking these amounts of students is because the bigger a sample the more useful the data will be.

I will press the SHIFT then RAN#   buttons and the calculator will display a random number between 0 and 1.  The number that is produced I will times by 370

Since I have collected my data randomly I was left with 27 boys and 33 boys, this shouldn’t be a problem.

Here is my data

       MALES

 

BOYS

Join now!

GIRLS

 

   FEMALES

Averages

Since all the data is continuous it makes more sense to use the modal class interval (the class interval that contains the most values) rather then the mode.

Height:

Out of three measures of averages the boys mean and median were higher then that of the girls. The modal class interval was equal. But, the range of the boys was 0.4m compared to ...

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