Question

what is the value of 'X' such that the median: 9,8,x,1,2,3 is 4.5?

Answer 1

Given:-

• 9,8,x,1,2,3
• Median= 4.5

To Find:-

• Value of x.

Solution:-

Median when number of observations are even : mean of two middlemost numbers

Since the two middle most numbers are x and 1.

So, Median=$\frac{x + 1}{2}$

In The Question it is given that the median of the following data is 4.5

So, $4.5 = \frac{x + 1}{2}$

$= > 4.5 \times 2 = x + 1$

$= > x = 9 - 1$

$= > x = 8$

Hence the value of x is 8

Answer 2

Refer to attachment~

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