The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is ` 18. Find the missing frequency f.

To find f, we’ll need to find mean pocket allowance by direct method and equate it to the given mean pocket allowance, 18.
So, let’s construct a table finding midpoints and stating frequencies.

Mean is given by
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⇒
[given, mean = 18]
⇒ 18(44 + f) = 752 + 20f
⇒ 792 + 18f = 752 + 20f
⇒ 20f – 18f = 792 – 752
⇒ 2f = 40
⇒ f = 40/2
⇒ f = 20
Thus, the missing frequency f is 20.
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