try again\nyour answer is incorrect.\n(a): your answer is incorrect.\n(b): your answer is incorrect.\nthe…

try again\nyour answer is incorrect.\n(a): your answer is incorrect.\n(b): your answer is incorrect.\nthe 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.\n(a) which city had noon temperatures with a larger interquartile range (iqr)? both had the same iqr\n(b) which city had more noon temperatures above 81°f? city a\n(c) which city had a larger median noon temperature? city a\n(d) which city had the highest noon temperature?
Answer
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