First slide

Introduction to statistics

Question

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

Moderate

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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