The arithmetic of the following data is 25, find the value of $k$.

$x_i$:	5	15	25	35	45
$f_i$:	3	$k$	3	6	2.

Given:

The arithmetic mean of the given data is 25.

To do:

We have to find the value of $k$.

Solution:

We know that,
Mean$=\frac{\sum f_ix_i}{\sum f_i}$ 

Therefore,

Mean $25=\frac{390+15k}{14+k}$

$25(14+k)=390+15k$

$350+25k=390+15k$

$25k-15k=390-350$

$10k=40$

$k=\frac{40}{10}$

$k=4$

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Updated on: 10-Oct-2022

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