Question

The weight of 10 students (in kg) are
55, 40, 35, 52, 60, 38, 36, 45, 31, 44.
The median weight is
(a) 40 kg
(b) 41 kg
(c) 42 kg
(d) 44 kg

Answer 1

ANSWER:
(c) 42 kg
Arranging the numbers in ascending order, we have:
31, 35, 36, 38, 40, 44, 45, 52, 55, 60
Here, n is 10, which is an even number.
Thus, we have:
Median=Mean of n/2th observation & n/2+1th observation
Median weight=Mean of the weights of 10/2th student & 10/2+1th student
=Mean of the weights of 5th student & 6th student
=42
Hence, the median weight is 42 kg.