Question

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 a smaller range of noon temperatures? select (b) which city had the highest noon temperature?

Explanation:

Step1: Recall range formula

Range is calculated as \( \text{Range} = \text{Maximum value} - \text{Minimum value} \). We analyze the box - and - whisker plots for City A and City B.

Step2: Analyze City A's range

For City A, observe the minimum and maximum values from its box - and - whisker plot. The minimum value (leftmost dot) and maximum value (rightmost dot) have a smaller spread (difference) compared to City B.

Step3: Analyze City B's range

For City B, the minimum and maximum values (leftmost and rightmost dots) have a larger spread. So, City A has a smaller range.

Step4: Analyze highest temperature

The highest temperature is the rightmost dot (maximum value) of each box - and - whisker plot. The rightmost dot of City B is further to the right than that of City A, so City B has the highest noon temperature.

Answer:

(a) City A
(b) City B