Question

use the box and whisker plot below to answer the following question. 20. (l137) what is the overall median of the data? are the numbers in the two middle groups more spread out above or below the median? a) median = 33; below the median b) median = 16; above the median c) median = 30; below the median d) median = 40; above the median e) none of the above

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the line inside the box represents the median ($Q_2$).

Step2: Identify the median

From the plot, the value of the line inside the box is 33, so the median is 33.

Step3: Analyze spread above and below median

The lower half of the data (below the median) is from the minimum value to the median. The upper half (above the median) is from the median to the maximum value. The distance from the median to the lower quartile ($Q_1 = 16$) is $33 - 16=17$. The distance from the median to the upper quartile ($Q_3 = 40$) is $40 - 33 = 7$. So the numbers in the two - middle groups are more spread out below the median.

Answer:

a) median = 33; below the median