Statisticshard · Past Paper
The arithmetic mean of $1, 2, 2, 3, 3, 3, ... n$ times $n$ is:
A$(n+1)/2$
B$(2n+1)/3$
C$n(n+1)/2$
D$n$
✓ Correct Answer: B — $(2n+1)/3$
Sum = $\sum n^2 = n(n+1)(2n+1)/6$. Total count = $\sum n = n(n+1)/2$. Mean = $(2n+1)/3$.
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