WAEC 2022 · Paper 1 · Q28

The mean heights of three groups of students consisting of 20, 16 and 14 students each are 1.67 m, 1.50 m and 1.40 m respectively. Find the mean height of all the students.

Worked solution (try it first)
  1. Find each group's total height: 20×1.67=33.420 \times 1.67 = 33.4, 16×1.50=2416 \times 1.50 = 24 and 14×1.40=19.614 \times 1.40 = 19.6.
  2. All together: 33.4+24+19.6=7733.4 + 24 + 19.6 = 77 m for 20+16+14=5020 + 16 + 14 = 50 students.
  3. So the mean is 7750=1.54\dfrac{77}{50} = 1.54 m, option B.

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