Question

try again
your answer is incorrect.
(a): your answer is incorrect.
(b): your answer is incorrect.
the noon temperatures (in fahrenheit) for two cities were recorded over a given month. the box - and - whisker plots below (sometimes called boxplots) summarize the noon temperatures for each city. use the box - and - whisker plots to answer the questions.
(a) which city had noon temperatures with a larger interquartile range (iqr)? both had the same iqr
(b) which city had more noon temperatures above 81°f? city a
(c) which city had a larger median noon temperature? city a
(d) which city had the highest noon temperature?

Explanation:

Step1: Recall IQR concept

IQR = Q3 - Q1. For box - and - whisker plots, the length of the box represents the IQR.

Step2: Measure IQR for City A

For City A, Q1 is approximately 65 and Q3 is approximately 75. So IQR(A)=75 - 65 = 10.

Step3: Measure IQR for City B

For City B, Q1 is approximately 60 and Q3 is approximately 70. So IQR(B)=70 - 60 = 10. So both have the same IQR.

Step4: Analyze temperatures above 81°F

For City A, the right - hand side of the box (Q3) is 75 and the maximum is around 90. For City B, Q3 is 70 and the maximum is around 85. Since City A has a larger portion of data (from 81 to 90) compared to City B (from 81 to 85), City A has more noon temperatures above 81°F.

Step5: Identify median

The line inside the box represents the median. For City A, the median is around 70. For City B, the median is around 65. So City A has a larger median.

Step6: Find the highest temperature

The end - point of the right - hand whisker (or outlier point) represents the highest temperature. For City A, it is around 90°F and for City B it is around 85°F. So City A has the highest noon temperature.

Answer:

(a) both had the same IQR
(b) City A
(c) City A
(d) City A