Is the sample median always equal to one of the values in the sample? If so, explain why. If not, give an example.

Answer :

Step 1 of 3 :

The claim is to check the sample Median is always is equal to one of the values in the sample.

If it is not equal then we have to give example.

Step 2 of 3 :

Median :

If sample size is odd

The middle most value of the data when it is arranged in ascending order.

So, when the sample size is odd the median is equal to the value in the sample.

Example :

Let 1, 5, 10, 40, 13 be the sample

Arrange the sample in ascending order

1 , 5, 10, 13, 40.

In the given sample 10 is the median

Therefore, when the sample size is odd the median is equal to the value in the sample.