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If the arithmetic

We have been given the arithmetic mean of the data, that is, 15.

⇒ Mean = 15

To find the value of p, we need to simply find mean using direct method.

So, let’s make a table showing frequencies and fixi.

So, we get

∑fixi = 445 + 10p

∑fi = 27 + p

Using direct method, we have the formula of arithmetic mean as follows:

[ Mean = 15, ∑fixi = 445 + 10p & ∑fi = 27 + p]

15 (27 + p) = 445 + 10p

405 + 15p = 445 + 10p

15p – 10p = 445 – 405

5p = 40

p = 8

Thus, p = 8.

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