Question

The following observation have been arranged in ascending order

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

if the median of the data is 63, the value of x will be?​

Answer 1

$\huge\bf Given$

• Total Num (n) = 10
• Middle num = 5th and 6th
• Median = 63

$\huge\bf Solution:-$

Here we used the formula :-

Median ⟶ $\frac{n}{2}$$\frac{n+1}{2}th term$

⟶63 = $\frac{x+x+2}{2}$

⟶63 = $\frac{2x}{2}$

⟶63 = x + 1

⟶x = 62

Final answer =$\sf{\red{62}}$

Answer 2

Answer:

Step-by-step explanation:

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.