If the mean of 26,19,15,24,x is x.Then median of the data is

If the mean of $26, 19, 15, 24, x$ is $x$ .Then median of the data is

A
23
B
22
C
20
D
21

Solution:

We have,

$\frac{26 + 19 + 15 + 24 + x}{5} = x \Rightarrow 4 x = 84 \Rightarrow x = 21$

Thus, the given data is $26, 19, 15, 24, 21 .$

Arranging the data in ascending order, we get

$15, 19, 21, 24, 26$

Clearly, 21 is its median.

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