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The following table gives the number of branches and number of plants in the garden of a school.

 No. of branches (x): 2 3 4 5 6
 No. of plants (f): 49 43 57 38 13

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Let the assumed mean (A) = 4

 No. of branches (xi) No. of plants (fi)  ui = xi - A = xi - 4 fiui
2 49 -2 -98
3 43 -1 -43
4 57 0 0
5 38 1 38
6 13 2 26
 N = 200  \(\sum\)fiui = -77

Average number of branches per plant = A + \(\frac{\sum fiui}{N}\)

\(=4+\frac{-77}{200}=\frac{800-77}{200}\)

\(=3.62\) (approx.)

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