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Question

The heights (in cm) of the volley-ball players from team A and team B were recorded as:
Team A: 180, 178, 176, 181, 190, 175, 187
Team B: 174, 175, 190, 179, 178, 185, 177
Find the median of team A and team B.

Solution
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Median of team A:
Arranging heights in ascending order, we get
175, 176, 178, 180, 187, 190
Total number of observations = n = 7 (odd)
$$\therefore$$ Median $$= \left (\frac{n + 1}{2} \right )^{th}$$ observation $$= \left ( \frac{7 + 1}{2} \right )^{th}$$ observation = $$4^{th}$$ observation = 180 cm

Median of team B:
Arranging heights in ascending order, we get
174, 175, 177, 178, 179, 185, 190
Total number of observations = n = 7 (odd)
$$\therefore$$ Median $$= \left (\frac{n + 1}{2} \right )^{th}$$ observation $$= \left ( \frac{7 + 1}{2} \right )^{th}$$ observation = $$4^{th}$$ observation = 178 cm

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