Question

The weights (in kg) of 15 students are:31,35,27,29,32,43,37,41,34,28,36,44,45,42,30. Find the median.

If 44 kg is replaced by 46 kg and 27 kg by 25 kg, then the new median is:

• A. 32
• B. 35
• C. 36
• D. 42

Answer 1

The correct option is B

35

Weights of 15 students are 31,35,27,29,32,43,37,41,34,28,36,44,45,42,30

Writing in ascending order, we get 27,28,29,30,31,32,34,35,36,37,41,42,43,44,45

Here n=15 which is odd.

$\therefore Median=\frac{n+1}{2}thterm=\frac{15+1}{2}=\frac{16}{2}thterm=8thterm=35kg$

By replacing 44 kg by 46 kg and 27 kg by 25 kg we get

25,28,29,30,31,32,34,35,36,37,41,42,43,45,46

$\therefore Median=8thterm=35kg$