How do the average credit scores of people living in various cities differ? The data table contains an ordered array of the average credit scores of

143

cities in a certain country. Complete parts a through c below.

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a. Construct a percentage histogram. Choose the correct graph below.

A.

70075080001530Credit ScorePercentage

A percentage histogram has a horizontal axis labeled "Credit Score" from 700 to 800 in increments of 10 and a vertical axis labeled Percentage from 0 to 30 in increments of 5. The histogram has vertical bars of width 10 where each vertical bar is located between two horizontal axis tick marks. The left most bar is the shortest with a height 0. The height of the bars increases from left to right to reach a maximum of 28 at the right edge. All heights are approximate.

B.

70075080001530Credit ScorePercentage

A percentage histogram has a horizontal axis labeled "Credit Score" from 700 to 800 in increments of 10 and a vertical axis labeled Percentage from 0 to 30 in increments of 5. The histogram has vertical bars of width 10 where each vertical bar is located between two horizontal axis tick marks. The tallest bar has a height 20 and is near the middle of the horizontal axis. The rest of the bars are roughly symmetric and decreasing with distance from the center. All heights are approximate.

C.

70075080001530Credit ScorePercentage

A percentage histogram has a horizontal axis labeled "Credit Score" from 700 to 800 in increments of 10 and a vertical axis labeled Percentage from 0 to 30 in increments of 5. The histogram has vertical bars of width 10 where each vertical bar is located between two horizontal axis tick marks. The left most bar is the tallest with a height 28. The height of the bars decreases from left to right to reach a minimum of 0 at the right edge. All heights are approximate.

D.

70075080001530Credit ScorePercentage

A percentage histogram has a horizontal axis labeled "Credit Score" from 700 to 800 in increments of 10 and a vertical axis labeled Percentage from 0 to 30 in increments of 5. The histogram has vertical bars of width 10 where each vertical bar is located between two horizontal axis tick marks. The bars form two roughly bell shaped groups. The first group is from 700 to 750 on the horizontal axis and the peak has a height of 22. The second group is from 760 to 800 on the horizontal axis and the peak has a height of 28.

b. Construct a cumulative percentage polygon. Choose the correct graph below.

A.

7007508000255075100Credit ScoreCumulative %

A cumulative percentage polygon has a horizontal axis labeled "Credit Score" from 690 to 810 in increments of 10 and a vertical axis labeled "Cumulative Percent" from 0 to 100 in increments of 5. Plotted points are connected by line segments from left to right. The points start at (695,0), follow an increasing curve to a maximum at (750,100), and then follow a decreasing curve to (805,0).

B.

7007508000255075100Credit ScoreCumulative %

A cumulative percentage polygon has a horizontal axis labeled "Credit Score" from 690 to 810 in increments of 10 and a vertical axis labeled "Cumulative Percent" from 0 to 100 in increments of 5. Plotted points are connected by line segments from left to right. The points start at (695,100), follow a decreasing curve to a minimum at (750,0), and then follow an increasing curve to (805,100).

C.

7007508000255075100Credit ScoreCumulative %

A cumulative percentage polygon has a horizontal axis labeled "Credit Score" from 690 to 810 in increments of 10 and a vertical axis labeled "Cumulative Percent" from 0 to 100 in increments of 5. Plotted points are connected by line segments from left to right. The points start at (700,0), follow a concave up, increasing curve, pass through an inflection point near the middle of the horizontal axis, and continue along a concave down, increasing curve to a maximum at (790,100).

D.

7007508000255075100Credit ScoreCumulative %

A cumulative percentage polygon has a horizontal axis labeled "Credit Score" from 690 to 810 in increments of 10 and a vertical axis labeled "Cumulative Percent" from 0 to 100 in increments of 5. Plotted points are connected by line segments from left to right. The points start at (705,100), follow a concave down, decreasing curve, pass through an inflection point near the middle of the horizontal axis, and continue along a concave up, decreasing curve to a minimum at (805,0).

c. What conclusions can you reach concerning the average credit scores of people living in different cities in the country?

A.

The average credit scores are clustered more toward the low end of 700.

B.

The average credit scores are clustered more toward the high end of 800.

C.

There appears to be two groups of credit scores clustered near about 725 and 775.

D.

The average credit scores are symmetrically distributed and the most common is around 750.