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.
Solution:
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 $=$ Value of $\left(\frac{n+1}{2}\right)$ th observation
Thus, we have:
Median score $=$ Value of $\left(\frac{15+1}{2}\right)$ th observation
$=$ Value of the 8 th observation
$=23$
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