Mathematics 0580 · IGCSE · Averages and measures of spread

Averages and measures of spread — practice question

The heights of 140 basketball players are collected, and the results are displayed in the table. Height $h$ (cm): $160 < h \leq 180$, $180 < h \leq 185$, $185 < h \leq 190$, $190 < h \leq 200$, $200 < h \leq 210$ Frequencies: $7, 12, 31, 70, 20$.
(a)[4]

Calculate an estimate for the mean height.

(b)[2]

Two players are picked at random. Find the probability that both players have a height greater than $190\text{ cm}$ and no more than $200\text{ cm}$.

(c)[3]

Complete the histogram so that it displays the information in the frequency table.

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