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 the highest noon temperature? (b) which city had noon temperatures with a larger interquartile range (iqr)? (c) which city had a larger median noon temperature? (d) which city had more noon temperatures above 75°f?

Explanation:

(a) Highest noon temperature

The highest value in a box - and - whisker plot is represented by the end of the right - most whisker (or an outlier point). For City A, the right - most point (either whisker or outlier) is at a higher temperature value than that of City B.

(b) Larger interquartile range (IQR)

The IQR is the length of the box in a box - and - whisker plot. The box for City A is longer than the box for City B.

(c) Larger median noon temperature

The median is represented by the line inside the box. The median line for City B is at a higher temperature value than that of City A.

(d) More noon temperatures above \(75^{\circ}F\)

In a box - and - whisker plot, approximately 50% of the data lies above the median. For City B, the median is above \(75^{\circ}F\), so more than 50% of its data is above \(75^{\circ}F\). For City A, the median is below \(75^{\circ}F\), so less than 50% of its data is above \(75^{\circ}F\).

Answer:

(a) City A
(b) City A
(c) City B
(d) City B