The arithmetic mean of the following data is 14. Find the value of $k$.

$x_i$:	5	10	15	20	25
$f_i$:	7	$k$	8	4	5.

Given:

The arithmetic mean of the given data is 14.

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 $14=\frac{360+10k}{24+k}$

$14(24+k)=360+10k$

$336+14k=360+10k$

$14k-10k=360-336$

$4k=24$

$k=\frac{24}{4}$

$k=6$

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Updated on: 10-Oct-2022

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