A footwear shop keeps a record of the shoe sizes sold in one week. The numbers below represent the sizes of 40 pairs sold:
6, 7, 7, 7, 8, 8, 8, 8, 9, 9,
6, 7, 8, 8, 8, 9, 9, 9, 10, 10,
6, 7, 7, 8, 8, 8, 9, 9, 9, 9,
6, 7, 8, 8, 8, 8, 9, 9, 9, 10
(i) Prepare a frequency distribution table for the data.
(ii) Find the most suitable single number the shop should consider while ordering its next bulk stock of shoes. Show the required calculation.
(iii) Would the mean size be a reliable indicator in this situation? Give two reasons for your answer.