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The value of missing frequency p for the following distribution whose mean is 7.68

is:

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answer is A.

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Detailed Solution

Given a table.
Question Image

The mean of the data is 7.68.
We have to find the value of p.
The mean of the data is given by,

Mean (x ¯) = Σ f i x i Σ f i

Σ f i = summation of frequencies

Σ f i x i = summation of frequencies multiplied by x

We will now make a table with another column of

x i f i

Now, substitute the values in the formula, we get,

⇒ Mean (x ¯) = Σ f i x i Σ f i ⇒ 7.68 = 303 + 9 p 41 + p ⇒ 314.88 + 7.68 p = 303 + 9 p ⇒ 314.88 − 303 = 9 p − 7.68 p ⇒ p = 11.88 1.32 ⇒ p = 9

Thus, the value of missing frequency p is 9.
Hence, option 1 is correct.

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