which box plot correctly displays the data set with a maximum of 24, a minimum of 3, a median of 15, an…

which box plot correctly displays the data set with a maximum of 24, a minimum of 3, a median of 15, an upper quartile of 19, and a lower quartile of 6?

which box plot correctly displays the data set with a maximum of 24, a minimum of 3, a median of 15, an upper quartile of 19, and a lower quartile of 6?

Answer

Explanation:

Step1: Recall box - plot components

In a box - plot, the minimum value is represented by the end of the left - most whisker, the lower quartile ($Q_1$) is the left - hand side of the box, the median ($Q_2$) is the line inside the box, the upper quartile ($Q_3$) is the right - hand side of the box, and the maximum value is represented by the end of the right - most whisker.

Step2: Check each option

We are given minimum = 3, lower quartile ($Q_1$)=6, median ($Q_2$)=15, upper quartile ($Q_3$)=19, and maximum = 24. We look for a box - plot where the left - most whisker ends at 3, the left side of the box is at 6, the line inside the box is at 15, the right side of the box is at 19, and the right - most whisker ends at 24.

Answer:

The box - plot where the left - most whisker ends at 3, the left side of the box is at 6, the vertical line inside the box is at 15, the right side of the box is at 19, and the right - most whisker ends at 24 (you need to visually identify this among the given options as the reference to specific options is not clear in the text format, but the above criteria should be used for identification).