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Question

If the mean of the following frequency distribution is 8, find the value of p.
x 3 5 7 9 11 13
f 6 8 15 p 8 4

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Solution

We will make the following table:
(xi) (fi) (fi)(xi)
3 6 18
5 8 40
7 15 105
9 p 9p
11 8 88
13 4 52
fi = 41 + p fi xi = 303 + 9p

We know:

Mean = fixixi
Given:
Mean = 8
Thus, we have:

8 = 303+9p41+p328+8p = 303+9pp = 25

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