Question

The median of observations 11, 12, 14, 18, x + 2, 20, 22, 25, 61 arranged in ascending

order is 21. Find the value of x.​

Answer 1

Answer:

x=19

Step-by-step explanation:

The number of observations is 9, i.e. odd number.

Therefore, the median is x+2.

Also median is 21.

So,

  x+2=21

= x=21-2

= x=19

Answer 2

Given:-

The median of observations 11, 12, 14, 18, x + 2, 20, 22, 25, 61 arranged in ascending order is 21.

To find:-

The value of x

Solution:-

Terms:-11, 12, 14, 18, x + 2, 20, 22, 25, 61

n=9 [odd]

=$\dfrac{(n+1}{2})$

=$\dfrac{(9+1}{2})$

=$\dfrac{10}{2}$

Therefore we get 5

Therefore 5=x+2x+2=21

Therefore x=21-2

Therefore x=19