Question

the table gives the cost of living index (col) for six urban areas with a relatively high cost of living and six urban areas with a relatively low cost of living. the index is based on costs for housing, utilities, grocery items, transportation, health care, and miscellaneous goods and services; 100 represents the national average. complete parts a through e.
low value = 72
median = 77.5
high value = 81
lower quartile = 75
upper quartile = 81
construct the box - plot for the low - cost urban areas. choose the correct graph below.
a.
b.
c.
d.

Explanation:

Step1: Recall box - plot components

A box - plot is constructed using the five - number summary: low value, lower quartile, median, upper quartile, and high value. We are given Low Value = 72, Lower Quartile = 75, Median = 77.5, Upper Quartile = 81, High Value = 81.

Step2: Analyze box - plot characteristics

The box in the box - plot extends from the lower quartile to the upper quartile. The line inside the box represents the median. The whiskers extend from the box to the low and high values.

Step3: Match with given options

We need to find the box - plot where the left - end of the box is at 75, the right - end of the box is at 81, the line inside the box is at 77.5, the left - whisker extends to 72 and the right - whisker extends to 81.

Answer:

We need to visually inspect the given options to find the box - plot that matches the above - described characteristics. Since we can't actually see the visual options in a non - graphical text response, the process to answer would be to look for a box - plot with the following: the box starts at 75, ends at 81, has a line in the box at 77.5, a left - whisker starting from 75 and going to 72, and a right - whisker starting from 81 and staying at 81.