The runs scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Find the mean, mode and median of this data. Are the three same?

Here,

According to the question,

At first,

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

6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120

Now,

We know that,

Mean score =

=

=

= 39

Therefore,

Mean score is 39

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 arranged in ascending or descending order.

Now,

As we know that,

There are total 11 observations

Hence,

Median =

= th term

= 6^{th} term

Thus,

Median = 15

And,

We can observe that,

15 occurs the maximum number of times which is three times

Hence,

We get,

Mode of the given data = 15

Therefore,

No, all the three values are not the same.

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