Question

Tony is a loan officer. He determines his clients’ eligibility for loans and for good interest rates by using their credit scores. The scores of several clients are shown in the following table.

Name
Experian
Equifax
TransUnion
Neil
726
752
822
Paula
634
732
771
Jeff
721
760
754
Peter
666
716
707

Help Tony evaluate his applicants based on their mean and median credit scores.
a.
Jeff has the highest mean score, but Paula has the highest median score.
b.
Neil has the highest mean score, but Jeff has the highest median score.
c.
Neil has the highest mean score and the highest median score.
d.
Paula has the highest mean score, but Jeff has the highest median score.

Answer 1

Compute each person's mean and median:

- Neil: scores 726, 752, 822. Mean = (726+752+822)/3 = 2300/3 ≈ 766.67. Median = 752.
- Paula: 634, 732, 771. Mean = 2137/3 ≈ 712.33. Median = 732.
- Jeff: 721, 760, 754. Mean = 2235/3 = 745. Median = 754.
- Peter: 666, 716, 707. Mean = 2089/3 ≈ 696.33. Median = 707.

Neil has the highest mean and Jeff has the highest median, so answer: b.