Box Plot Analysis and IQR

The video tutorial explains how to determine which box plot has the greatest interquartile range (IQR) by analyzing four different box plots labeled A, B, C, and D. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Box Plot A has an IQR of 12, Box Plot B has an IQR of 14, Box Plot C has an IQR of 10, and Box Plot D has the greatest IQR of 16. The tutorial guides viewers through the process of calculating the IQR for each box plot and visually comparing them to identify the one with the largest IQR.

What is the main objective of the problem discussed in the video?

• To identify the median of each box plot

• To compare the mean of different data sets

• To determine which box plot has the greatest IQR

• To find the box plot with the smallest range

What is the starting point (Q1) for Box Plot A?

• 6

• 10

• 2

• 4

What is the IQR for Box Plot A?

• 16

• 14

• 12

• 10

What is the difference between Q3 and Q1 for Box Plot A?

• 14

• 16

• 12

• 10

For Box Plot B, what is the value of Q3?

• 12

• 20

• 22

• 10

What is the IQR for Box Plot B?

• 10

• 12

• 16

• 14

What is the difference between Q3 and Q1 for Box Plot B?

• 10

• 12

• 14

• 16

What is the starting point (Q1) for Box Plot C?

• 4

• 10

• 6

• 2

What is the IQR for Box Plot C?

• 12

• 10

• 14

• 16

Which box plot has the smallest IQR?

• Box Plot D

• Box Plot B

• Box Plot A

• Box Plot C