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The mean of the following data is $12.58$ . Find the value of $p$ .

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22

15

8

7

answer is B.

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Detailed Solution

The following data is given:
Question Image

The mean of the following data is given as 12.58.
We need to find the value of

p

.
Frequency table can be written for the given data as:
Question Image

We know that,

Mean = \frac{\sum_{}^{} fx}{\sum_{}^{} f}

\Rightarrow 12.58 = \frac{524 + 7 p}{50}

\Rightarrow 12.58 \times 50 = 524 + 7 p

\Rightarrow 629 - 524 = 7 p

\Rightarrow 105 = 7 p

\Rightarrow p = \frac{105}{7}

\Rightarrow p = 15

Hence, the vlaue of

p

15

.
Hence, the correct option is 2.

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