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: Arrange data in order

Data is already in ascending order: 8, 11, 14, 16, 17, 21, 21, 24, 27, 31, 43, 47

Step2: Find median (Q2)

Since there are 12 data - points, the median is the average of the 6th and 7th values. So, $Q2=\frac{21 + 21}{2}=21$

Step3: Find lower half and Q1

The lower half is 8, 11, 14, 16, 17, 21. The median of the lower half (Q1) is the average of the 3rd and 4th values. So, $Q1=\frac{14+16}{2}=15$

Step4: Find upper half and Q3

The upper half is 21, 24, 27, 31, 43, 47. The median of the upper half (Q3) is the average of the 3rd and 4th values. So, $Q3=\frac{27 + 31}{2}=29$

Step5: Calculate inter - quartile range (IQR)

$IQR=Q3 - Q1=29 - 15 = 14$

The inter - quartile range helps tell the spread of the data around the median. The inter - quartile range, which is 14 feet, represents the middle 50% of the heights of the trees.

Answer:

The interquartile range helps tell the spread of the data around the median. The interquartile range, which is 14 feet, represents the middle 50% of the heights of the trees.