Question

The scores in mathematics test (out of 25) of 15 students are as follows:
$19,25,23,20,9,20,15,10,5,16,25,20,24,12,20$
Find the mode and median of this data. Are they same?

Answer 1

Arranging the data in ascending order such that same values are put together, we get:

$5,9,10,12,15,16,19,20,20,20,20,23,24,25,25.$
Here, n = 15
We have , 15 observation.

Hence, the midmost observation will be the 8th observation.

Median= Middlemost observation

$\therefore$ Median $=20$

Here, clearly, 20 occurs the most number of times, i.e., 4 times.

Therefore, the mode of the given data is 20.
Yes, the median and mode of the given data are the same.