Discussion

The mean of the set {2, 5, x, 7, 8} is 6. What is the median of the set?

Answer: C

First, find the value of x using the mean.

Sum = 2 + 5 + x + 7 + 8 = 22 + x.

Mean = \(\frac{22+x}{5} = 6 \Rightarrow 22+x = 30 \Rightarrow x = 8\).

The data set is {2, 5, 8, 7, 8}.

To find the median, arrange the set in ascending order: {2, 5, 7, 8, 8}.

The median is the middle value, which is 7.

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