Statisticshard · Past Paper
If the mean of $x_1, x_2, ... x_n$ is $\bar{x}$, what is the mean of $ax_1+b, ax_2+b, ... ax_n+b$?
A$\bar{x}$
B$a\bar{x}$
C$a\bar{x} + b$
D$\bar{x} + b$
✓ Correct Answer: C — $a\bar{x} + b$
The mean follows linear transformations directly: $Mean(ax+b) = a*Mean(x) + b$.
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