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.