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  3. Mathematics
  4. In a survey of 950 families in a village, the following distribution of number of children was obtained. Number of children 0 -2 2 - 4 4 - 6 6 - 8 8 - 10 10 - 12 Number of families 272 328 205 120 15 10 find the mean

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Q. In a survey of $950$ families in a village, the following distribution of number of children was obtained.
Number of children 0 -2 2 - 4 4 - 6 6 - 8 8 - 10 10 - 12
Number of families 272 328 205 120 15 10

find the mean

Statistics

Solution:

Construct the following table taking $5$ as the assumed mean, i.e., $a = 5$.
image
$\therefore $ Mean $= a +\frac{ \Sigma f_{i}y_{i}}{\Sigma f_{i}} \times h $
$ = 5+\left(\frac{-692}{950}\times2\right) $
$= 3.543$