Question

An advertiser is trying to decide which website to use for her product. She gathers information on the customer ratings for each website and constructs a boxplot of each. There are the same number of ratings for each website.

The results are shown in the following boxplots: graph of two boxplots, y axis labeled 0 to 70; blue boxplot labeled Website A with minimum at 10, Q1 at 18, median at 45, Q3 at about 58, and maximum at 60; orange boxplot labeled Website B with minimum at 10, Q1 at 13, median at 34, Q3 at about 57, and maximum at 60
Based on these boxplots, which of the following is true?

a The median rating for website B is greater than for website A.
b The interquartile range for website A is greater than for website B.
c The ranges for the two websites are the same.
d The median ratings for the two websites are the same.

Answer 1

The correct statement based on the provided boxplots for Website A and Website B is 'c' The ranges for the two websites are the same, with both of them having a range from 10 to 60.

Step-by-step explanation:

To determine which statement is true based on the boxplots for Website A and Website B, we need to look at the properties of a boxplot, which includes minimum value, first quartile (Q1), median (the middle value), third quartile (Q3), and the maximum value. The range of the data is from the minimum to the maximum value, and the interquartile range (IQR) is calculated from Q3 minus Q1.

Analyzing the given boxplots, we can see the following:

Website A: Minimum at 10, Q1 at 18, Median at 45, Q3 at 58, Maximum at 60.

Website B: Minimum at 10, Q1 at 13, Median at 34, Q3 at 57, Maximum at 60.

Therefore, the answer to the provided choices is:

a) False. The median rating for Website B (34) is not greater than for Website A (45).

b) False. The IQR for Website A (Q3 - Q1 = 58 - 18 = 40) is not greater than the IQR for Website B (Q3 - Q1 = 57 - 13 = 44).

c) True. The ranges for the two websites are the same, which is from 10 to 60.

d) False. The median ratings for Website A (45) and Website B (34) are not the same.

The correct choice based on the given data is 'c' The ranges for the two websites are the same.