Question

The difference of the values of the third quartile and the median of the data set represented by the box plot is 3. What is the value of the third quartile?

1) 13
2) 17
3) 20
4) 24

Answer 1

The value of the third quartile is 9.

Step-by-step explanation:

The third quartile, or Q3, is the median of the upper half of the data. In this case, the median is 7, so we need to find the middle value of the upper half of the data. The upper half has seven data values, so the middle value will be the fourth value. To find the third quartile, we look at the fourth value in the upper half which is 9.