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Solution


Q.

The median of the following observations given in order 16, 18, 20, 24 − x, 22 + 2x, 28, 30, 32 is 24. The value of x is:
1 5  
2 4  
3 2  
4 1  

Ans.

(3)

Given, median of the data 16, 18, 20, 24 − x, 22 + 2x, 28, 30, 32 is 24.

Here, n=8(Even)∴Median=n2th observation +n2+1th observation224=4th observation+5th observation2⇒48=(24-x)+(22+2x)⇒48=46+x⇒x=2Hence, the value of x is 2.