WAEC 2022 · Paper 1 · Q38

Dispersion & cumulative frequency

The ages in years of some members of a singing group are 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36. Find the lower quartile.

Worked solution (try it first)

Put the 11 ages in order: 12, 13, 15, 36, 39, 41, 41, 43, 43, 47, 49.
$Q_1$ is at position $\frac{11}{4} = 2.75$ .
At .75, round up to the 3rd value.
So $Q_1 = 15$ , option C.

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