Question

Explain how to find the lower quartile of a box-and-whisker plot.

A.The lower quartile is the range of the lower half of the data.
B.The lower quartile is the mode of the lower half of the data.
C.The lower quartile is the median of the lower half of the data.
D.The lower quartile is the mean of the lower half of the data.

Answer 1

C. The lower quartile (of a box-and-whisker plot) is the median of the lower half of the data.
Also referred to as "Q1"

Answer 2

The lower quartile is the median of the lower half of the data.

C is the correct option.

Explanation:

In a box and whiskers plot, we show the below parameters:-

• Maximum value of the data set
• Minimum value of the data set
• Median of the data set
• Lower quartile of the data set
• Upper quartile of the data set

In order to find the upper quartile, we evaluate the median of the upper half and to find the lower quartile, we find the median of the lower half of the data.

Hence, the lower quartile is the median of the lower half of the data.