Question

The following observations have been arranged in ascending order. If the median of the data is 63,find the vallue of x. 29, 32, 48, 50, x, x+2, 72, 78, 84, 95

Answer 1

Hi ,

29 , 32 , 48 , 50 , x , x + 2 , 72 , 78 , 84 , 95

are given observations.

number of observations ( n ) = 10 [ even ]

median = average ( n/2 , n/2 + 1 )th terms

= Ave( 5th & 6th ) terms

= ( x + x + 2 )/2

= ( 2x + 2 )/2

= x + 1 ----( 1 )

median = 63 ( given ) ----( 2 )

from ( 1 ) & ( 2 ) , we get

x + 1 = 63

x = 62

I hope this helps you.

: )

Answer 2

Answer:

ascending order :29,32,48,50,x,x+2,72,78,84,95

Step-by-step explanation:

number of observations n=10

median =avg of n/2term and n+1/2term

=x+x+2/2

=2x+2/2

=(x+1)term

-----------------------------(1)

(x+1) =63

-------------------------------------(2)

x =63-1

x =62

therefore,x=62