Data Handling - Height and Foot Length

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DATA HANDLING COURSEWORK

Plan

A former year10 class collected the data I will be using a few years ago. All of the students in each of the year 7 tutor groups had their height and foot length measured in centimetres. However, ‘7Q’ were out of school on a trip. Therefore, their data was not recorded.

I will use various methods to prove my hypothesis. These include cumulative frequency curves, box and whisker diagrams, histograms and stem and leaf diagrams. As well as the traditional mean, median, mode and range techniques.

I will firstly conduct the handling by collecting my data. I will do this via the technique of random sampling. I’ll do this by typing 148 (amount of data entries) then the #RAN key on my calculator. This will generate a random number between 0 and 148. If the number was a decimal, I would round it up to the nearest whole number. I will press ‘=’ until I have 30 pieces of data for each gender. I will then analyse the data extensively with the methods stated above to try and prove my hypothesis.

I will then handle the data using systematic sampling. This means I will take every 5
th piece of data until I have 15 pieces of data for each gender. I will then analyse this data thoroughly also to try and prove that my hypothesis is valid with 2 different samples.

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Random Sampling

Random Male Height MMMR

Mean

4465/30 = 148.8cm

Median

30/2 = 15

145 + ((4/8) x 5) = 147.5cm

Mode

Modal class = 145 < h < 150

Range

162 – 140 = 22cm

Random Female Height MMMR

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