Shoe sizes and a population estimate

Shoe sizes and a population estimate

Secondary 2
10 marks
TGM Original Questions

The shoe sizes of 34 students are: 6, 5, 7, 4, 6, 3, 8, 5, 6, 7, 4, 5, 6, 9, 5, 7, 6, 4, 5, 6, 7, 3, 8, 5, 6, 4, 7, 5, 6, 3, 7, 4, 5, 6.

  1. Construct a frequency table for sizes 3 to 9.[2]
  2. Find the mean, mode and median.[4]
  3. Find the percentage wearing size 7.[2]
  4. Estimate how many of 300 similar students wear size 7.[2]

Solution:

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Answer:(a) frequencies \(3,5,8,9,6,2,1\) (b) mean \(\frac{95}{17}\approx5.59\), mode \(6\), median \(6\) (c) \(17.6\%\) (d) about \(53\).

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