JAMB 1983 · UME · Q28

The scores of 16 students in a Mathematics test are 65, 65, 55, 60, 60, 65, 60, 70, 75, 70, 65, 70, 60, 65, 65, 70. What is the sum of the median and modal scores?

Worked solution (try it first)
  1. Count each score: 55 once, 60 four times, 65 six times, 70 four times and 75 once (16 in all).
  2. With 16 scores the median is halfway between the 8th and 9th.
  3. The first 5 are 55 and 60, so the 6th to 11th are all 65: the median is 65.
  4. 65 occurs most often, so the mode is also 65.
  5. So the sum is 65+65=13065 + 65 = 130, option B.

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