14
QuizMultiple Choice

Standard Deviation — Quiz

Question 14 • Algebra II

The mean of a set of credit scores is mu is equal to 690 and sigma is equal to 14 Which credit score is within a z -score of 3 point 3 ?

Answer
A
640
B
720
C
634
D
750

Explanation

Use z = (score − mean) / standard deviation. For 720, z = (720 − 690) / 14 ≈ 2.14, which is within 3.3 standard deviations of the mean. The other scores are more than 3.3 standard deviations away, so the correct choice is A, 720.

AI-written and checked against the verified answer.

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