Given: N = 68
⇒ 47 + x + y = 68
⇒ x + y = 68 – 47
⇒ x + y = 21 ……..(i)
Now \(\frac { N }{ 2 }\) = \(\frac { 68 }{ 2 }\) = 34
Median of distribution is 27 which lies is class-interval 20 – 30.
∴ Median class 20 – 30
l = 20, c = 5 + x, f = 20 and h = 10
⇒ 69 – x = 2 × 27
⇒ x = 69 – 54 = 15
Putting value of x in eqn. (i),
15 + y = 21
⇒ y = 21 – 15 = 6
Thus, x = 15, y = 6