Question

The scores in mathematics 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

Step-by-step explanation:

Let's know the meaning of the terms "Mode" and "Median"

Mode = The no. which is occurring most frequently in a set of numbers is called Mode

Median = Median refers to the value which lie in the middle of the set of numbers (When arranged in ascending or descending order).

Now Coming to the question :-

First we will find the mode of the data :- 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

20 have occurred 4 times ∴

The most frequently occurring value = 20 Therefore the mode of the given set of data is 20

Now Median;

Numbers arranged in ascending order = 5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

So the middle value here is 20.

\therefore∴ Median and Mode both are same.