Question

Eli 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
Roy
750
792
661
Dirk
771
707
755
Haley
643
642
770
Valerie
646
773
762

Help Eli evaluate his applicants based on their mean and median credit scores.
a.
Valerie has the highest mean score, but Roy has the highest median score.
b.
Dirk has the highest mean score and the highest median score.
c.
Roy has the highest mean score, but Valerie has the highest median score.
d.
Dirk has the highest mean score, but Valerie has the highest median score.

Answer 1

Compute each person's mean (average) and median of the three scores:

- Roy: scores 661, 750, 792 → mean = 2203/3 = 734.33; median = 750
- Dirk: scores 707, 755, 771 → mean = 2233/3 = 744.33; median = 755
- Haley: scores 642, 643, 770 → mean = 2055/3 = 685.00; median = 643
- Valerie: scores 646, 762, 773 → mean = 2181/3 = 727.00; median = 762

Dirk has the highest mean and Valerie has the highest median. Answer: d.