Question

the accompanying data and frequency distribution are 45 commute times to work in minutes for workers of age 16 or older in chicago. use the data and frequency distribution to construct a histogram. does it appear to be the graph of data from a population with a normal distribution? click the icon to view the commute times data and frequency distribution. construct the histogram. choose the correct graph below. a. histogram with x - axis labeled commute time (minutes) from 0 - 90 in intervals of 15 and y - axis labeled frequency from 0 - 20 with bars at intervals. b. histogram with x - axis labeled commute time (minutes) from 0 - 60 in intervals of 10 and y - axis labeled frequency from 0 - 20 with bars at intervals. c. histogram with x - axis labeled commute time (minutes) from 0 - 90 in intervals of 15 and y - axis labeled frequency from 0 - 20 with bars at intervals. d. histogram with x - axis labeled commute time (minutes) from 0 - 90 in intervals of 15 and y - axis labeled frequency from 0 - 20 with bars at intervals.

Explanation:

Step1: Recall normal - distribution shape

A normal - distribution histogram has a bell - shaped curve, symmetric about the mean. The frequencies start low, increase to a maximum at the center, and then decrease symmetrically.

Step2: Analyze option A

In option A, the histogram is not symmetric. The left - hand side has a different shape compared to the right - hand side.

Step3: Analyze option B

The range of values in option B does not match the range of commute times given (0 - 90 minutes). The x - axis in option B only goes up to 60 minutes.

Step4: Analyze option C

Option C has a relatively symmetric shape. The frequencies increase to a peak and then decrease in a somewhat symmetric fashion around the center of the distribution, which is characteristic of a normal distribution.

Step5: Analyze option D

Option D is not symmetric. The right - hand side has a different pattern of frequencies compared to the left - hand side.

Answer:

C.