Question

what is the value of x, if the median of the following data is 27.5? 24,25,26,x+2, x+3, 30, 33, 37

Answer 1

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Answer 2

Answer:

25

Step-by-step explanation:

Given : 24,25,26,x+2, x+3, 30, 33, 37

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+2,x+3

So, Median=$\frac{x+2+x+3}{2}$

                  =$\frac{2x+5}{2}$  

We are given that the median of the following data is 27.5

So, $27.5=\frac{2x+5}{2}$  

$27.5 \times 2=2x+5$  

$55=2x+5$  

$50=2x$  

$25=x$  

Hence the value of x is 25