Q. 125.0( 2 Votes )

If 10, 13, 15, 18, x + 1, x + 3, 30, 32, 35, 41 are ten observations in an ascending order with median 24, Find the value of x.

Answer :

10 observations in ascending order = 10, 13, 15, 18, x + 1, x + 3, 30, 32, 35, 41


n = 10 (even)


Median = 1/2 [value of (n/2)th term + value of (n/2 + 1)th term]


Median = 1/2 [value of 5th term + value of 6th term]


Median = 1/2 [(x + 1) + (x + 3)] = (2x + 4)/2


Given median = 24



2x + 4 = 24 × 2


2x + 4 = 48


2x = 48 – 4 = 44


x = 44/2 = 22


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