the heights, in feet, of 12 trees in a park are shown below. 8, 11, 14, 16, 17, 21, 21, 24, 27, 31, 43, 47…

the heights, in feet, of 12 trees in a park are shown below. 8, 11, 14, 16, 17, 21, 21, 24, 27, 31, 43, 47 use the drop - down menus to explain the interquartile range of the data. click the arrows to choose an answer from each menu. the interquartile range helps tell the choose... of the data around the choose... . the interquartile range, which is choose... feet, represents choose... of the heights of the trees.

the heights, in feet, of 12 trees in a park are shown below. 8, 11, 14, 16, 17, 21, 21, 24, 27, 31, 43, 47 use the drop - down menus to explain the interquartile range of the data. click the arrows to choose an answer from each menu. the interquartile range helps tell the choose... of the data around the choose... . the interquartile range, which is choose... feet, represents choose... of the heights of the trees.

Answer

Explanation:

Step1: Recall inter - quartile range concept

The inter - quartile range (IQR) helps tell the spread of the data around the median.

Step2: Calculate the IQR

First, order the data: 8, 11, 14, 16, 17, 21, 21, 24, 27, 31, 43, 47. There are (n = 12) data points. The median is the average of the 6th and 7th ordered values, (\text{Median}=\frac{21 + 21}{2}=21). The lower half of the data is 8, 11, 14, 16, 17, 21. The median of the lower half ((Q_1)) is 15. The upper half of the data is 24, 27, 31, 43, 47. The median of the upper half ((Q_3)) is 37. The IQR is (Q_3−Q_1=37 - 15 = 22). The IQR represents the middle 50% of the data.

Answer:

The interquartile range helps tell the spread of the data around the median. The interquartile range, which is 22 feet, represents the middle 50% of the heights of the trees.