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.

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$$\begin{tabular}{|c|c|c|c|} \\hline name & experian & equifax & transunion \\\\ \\hline neil & 726 & 752 & 822 \\\\ \\hline paula & 634 & 732 & 771 \\\\ \\hline jeff & 721 & 760 & 754 \\\\ \\hline peter & 666 & 716 & 707 \\\\ \\hline \\end{tabular}$$

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.

Explanation:

Extract data from the table

Using the Table Reading knowledge point
The credit scores for each client across the three bureaus (Experian, Equifax, TransUnion) are:

• Neil: \(726\), \(752\), \(822\)
• Paula: \(634\), \(732\), \(771\)
• Jeff: \(721\), \(760\), \(754\)
• Peter: \(666\), \(716\), \(707\)

Calculate the mean credit score for each client

Using the Mean Credit Score knowledge point

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Determine the median credit score for each client

Using the Median Credit Score knowledge point

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Compare the calculated values to find the highest scores

Using the Mean Credit Score and Median Credit Score knowledge points

• Highest mean score: Neil (\(766.67\))
• Highest median score: Jeff (\(754\))

This matches option (b): "Neil has the highest mean score, but Jeff has the highest median score."

Answer:

• 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. (Correct answer)
• 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.