Question

The marks of 15 students in an examination are
25, 19, 17, 24, 23, 29, 31, 40, 19, 20, 22, 26, 17, 35, 21.
Find the median score.

Answer 1

ANSWER:
Arranging the marks of 15 students in ascending order, we get:
17, 17, 19, 19, 20, 21, 22, 23, 24, 25, 26, 29, 31, 35, 40
Here, n is 15, which is an odd number.
We know:
Median= $\frac{(n+1)}{2}$th observation
Thus, we have:
Median score=$\frac{(15+1)}{2}$th observation
=Value of the 8th observation
=23