The following table gives the number of branches and number of plants in the garden of a school.
No. of branches ($x$):23456
No. of plants ($f$):4943573813
Calculate the average number of branches per plant.

Given:

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

To do:

We have to calculate the average number of branches per plant.

Solution:

Let the assumed mean be $A=4$

Number of branches ($x_i$)Number of plants ($f_i$)

$d_i =x_i -A$

$A=4$

$f_i \times\ d_i$
249$-2$$-98$
343$-1$$-43$
4-$A$5700
538138
613226
Total $\sum{f_i}=200$$\sum{f_id_i}=-77$

 We know that,

Mean $=A+\frac{\sum{f_id_i}}{\sum{f_i}}$

Therefore,

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

$=4-0.385$

$=3.615$

The average number of branches per plant is $3.615$.

Updated on: 10-Oct-2022

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