Problem 5E

Find a sample size for which the median will always equal one of the values in the sample.

Answer :

Step 1 of 1 :

The claim is to find the sample size is always is equal to one of the values in the sample.

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 always equal to the value in the sample.