JAMB 1986 · UME · Q50

The table gives the scores of a group of students in a Mathematics test. If the mode is mm and the number of students who scored 4 or less is SS, what is (S,m)(S, m)?

Score 1 2 3 4 5 6 7 8
Frequency 2 4 7 14 12 6 4 1
Worked solution (try it first)
  1. The students who scored 4 or less are those with scores 1, 2, 3 and 4: S=2+4+7+14=27S = 2 + 4 + 7 + 14 = 27.
  2. The mode is the score with the highest frequency: score 4, with frequency 14.
  3. So m=4m = 4.
  4. So (S,m)=(27,4)(S, m) = (27, 4), option A.

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