The mean of the following frequency distribution is 24. Find the value of p.

Let us first calculate the mid-values(xi) for each class-interval, By using the formula
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By which, we get the following data

We know, that
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Given, mean = 24
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⇒ 1920 + 24p = 1700 + 35p
⇒ 11p = 220
⇒ p = 20
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