44.2k views
0 votes
Which of the following boxplots has the largest IQR, and what is the IQR?

A. Store A; IQR = 52.5
B. Store B; IQR = 30
C. Store A; IQR = 25
D. Store B; IQR = 17.5

1 Answer

7 votes

Final answer:

Option A, which states Store A with an IQR of 52.5, has the largest IQR, representing the broadest spread of the middle 50 percent of the data.

Step-by-step explanation:

The question asks which boxplot has the largest Interquartile Range (IQR). The Interquartile Range is calculated by subtracting the first quartile (Q1) from the third quartile (Q3), represented by the formula IQR = Q3 - Q1. Based on the options provided, we are looking for the largest numerical value of the IQR.

The largest IQR provided is 52.5 for Store A. Therefore, the correct answer is Option A: Store A; IQR = 52.5. This value represents the spread of the middle 50 percent of the data in Store A's boxplot, indicating greater variability in this range compared to the other options provided.

User Paul Ruiz
by
6.9k points