JAMB 1985 · UME · Q28

The number of goals scored by a football team in 20 matches is shown below. What are the mean and the mode respectively?

No. of goals 0 1 2 3 4 5
No. of matches 3 5 7 4 1 0
Worked solution (try it first)
  1. Total goals: 0(3)+1(5)+2(7)+3(4)+4(1)+5(0)=0+5+14+12+40(3) + 1(5) + 2(7) + 3(4) + 4(1) + 5(0) = 0 + 5 + 14 + 12 + 4, which is 35.
  2. Mean =3520=1.75= \frac{35}{20} = 1.75.
  3. The mode is the number of goals with the highest frequency: 2 goals, in 7 matches.
  4. So the mean and mode are (1.75,2)(1.75, 2), option B.

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