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The following distribution shows the daily pocket allowance of

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

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

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Text solutionVerified

Solution:

u_{i} = \frac{x _{i} - a}{h} = \frac{d _{i}}{h}

d_{i} = x_{i} - a

assumed mean

= a = 18

h = 13 - 11 = 2

acc to series

x_{i} = 12, 14, 16, 18, 20, 22, 24

f_{i} = 7, 6, 9, 13, f, 5, 4

d_{i} = - 6, - 4, - 2, 0, 2, 4, 6

u_{i} = - 3, - 2, - 1, 0, 1, 2, 3

f_{i} u_{i} = - 21, - 12, - 9, 0, f, 10, 12

\sum f_{i} = 44 - f

\sum f_{i} u_{i} = f - 2 o

mean

= a + (\frac{\sum f _{i} u _{i}}{\sum f _{i}}) h

18 = 18 + (\frac{f - 20}{44 + f}) \cdot 2

\frac{f - 20}{44 + f} = 0

f - 20 = 0

f = 20

answer

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Question Text	The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs 18. Find the missing frequency f.
Answer Type	Text solution:1
Upvotes	150

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

Text solutionVerified

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