Following are summary statistics for two data sets,
A and B.
A 
B 

Minimum 
0.066 
2.235 
1st Quartile 
1.42 
5.27 
Median 
2.60 
8.03 
3rd Quartile 
6.02 
9.13 
Maximum 
10.08 
10.51 
a. Compute the interquartile ranges for both A and B.
b. Do the summary statistics for A provide enough information to construct a boxplot? If so, construct the boxplot. If not, explain why.
c. Do the summary statistics for B provide enough information to construct a boxplot? If so, construct the boxplot. If not, explain why.
Answer :
Step 1 of 4 :
Given,
Summary statistics for two data sets A and B.
A 
B 

Minimum 
0.066 
2.235 
First quartile (Q1) 
1.42 
5.27 
Median 
2.6 
8.03 
third Quartile (Q3) 
6.02 
9.13 
Maximum 
10.08 
10.51 
Step 2 of 4 :
The claim is to find the Interquartile range for A and BInterquartile range (IQR) = third quartile  first quartile
For dataset A
IQR = Q3  Q1
= 6.02  1.42
= 4.6
Therefore, IQR for A is 4.6
For dataset B
IQR = Q3  Q1
= 9.13  5.27
= 3.86
Therefore, IQR for B is 3.86