The scores in mathematics test (out of 25) of 15 students is 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 the same?

Here,

According to the question,

At first,

We’ll arrange the scores in an ascending order as follows:

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

Now,

We know that,

Mode is termed as that value of observation which occurs for the maximum number of times.

And,

Median of any data is known as the middle observation when that data is arrange in ascending or descending order.

Now,

As we know that,

There are total 15 observations

Hence,

Median =

= th term

= 8^{th} term

Thus,

Median = 20

And,

We can observe that,

20 occurs the maximum number of times which is the maximum number of times

Hence,

We get,

Mode of the given data = 20

Therefore,

Yes, both the values are same.

15