If the mean of the following data is 15, find p.

Question:

If the mean of the following data is 15, find p.

 

Solution:

It is given that,

Mean = 15

$\Rightarrow \sum f x / N=15$

⇒10p + 445p + 27=15

⇒10p + 445 = 15 × (p + 27)

⇒ 10p + 445 = 15p + 405

⇒15p − 10p = 445 − 405

⇒ 5p = 40

⇒ p = 405 = 8

⇒ p = 8

∴ p = 8.

 

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