If there are 25 values in a data set in order from smallest to largest, what is the first quartile of the data set? a. the mean of the 7th and 8th values b. the mean of the 5th and 6th values c. the mean of the 4th and 5th values d. the mean of the 6th and 7th values

D. The mean of the 6th and 7th values.

Step-by-step explanation:

We have been given that there are 25 values in a data set in order from smallest to largest. We are asked to find the value of first quartile of the data set.

Since our given data set is odd numbered, so the median of the data set would be value of 13th data point.

To find the first quartile, we need to find the median of first half of data set that will be the average of 6th and 7th data point as we will not include 13 th data point.

Therefore, the option D is the correct choice.