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Question
If the mean of 26, 19, 15, 24 and x is x, then the median of the data is ______.
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Solution
If the mean of 26, 19, 15, 24 and x is x, then the median of the data is 21.
Explanation:
The mean condition gives \[\frac{26+19+15+24+x}{5}=x\], so x = 21.
In ascending order, the data are 15, 19, 21, 24, 26.
The middle value, and hence the median, is 21.
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