ICSE Class X Math 2013 Solved Paper

Question : 3

Total: 46

The median of the following observations 11, 12,14,(x−2),(x+4),(x+9), 32,38,47 arranged in ascending order is 24 . Find the value of x and hence find the mean.

Solution:

Given : 11,12,14,(x−2),(x+4),(x+9),32 , 38,47 and median =24 .
∵‌n‌=9‌ (odd) ‌
∴‌‌‌ Median ‌‌=‌

n+1

‌ th term ‌
‌=‌

9+1

‌ th term ‌
‌24‌=5‌ th term ‌
∴‌‌x+4‌=24
x‌=24−4
x‌=20
Therefore ,11,12,14,(20−2),(20+4), (20+9),‌32,38,47
‌=11,12,14,18,24,29,32,38,47
‌‌ Now ‌‌‌‌ Mean ‌=‌

Σx

=‌‌

11+12+14+18+24+29+32+38+47

=‌‌

225

=25.

Go to Question:

Prev Question

Next Question