Question

kaira’s high school recently had a fundraiser where students sold wrapping paper and other gift-wrapping material to raise money for the arts programs at the school. the average amount of money that each student raised from the fundraiser was $32.59 and the standard deviation was $7.81. kaira raised $53.75 with her sales. she found the z - score of this number to be 2.52. which of the following best explains the meaning of kaira’s z - score? a kaira raised the most money out of all of the students. b kaira’s total money raised was, on average, 2.52 times greater than other students’ total money raised. c kaira’s total money raised was 2.52 standard deviations greater than the average of $32.59 raised by each student. d kaira’s total money raised was 2.52 times greater than the average of $32.59 raised by each

Explanation:

A z-score measures how many standard deviations a data point is from the mean. A z-score of 2.83 means the value is 2.83 standard deviations above the mean. We evaluate each option:

• Option A is incorrect because the z-score does not indicate she raised the most money.
• Option B is incorrect because the z-score describes deviation from the mean, not a multiple of the mean.
• Option C is incorrect as the z-score shows her value is above the mean, not greater than others in a multiplicative sense.
• Option D correctly interprets the z-score: her total is 2.83 standard deviations above the average of $32.50.

Answer:

D. Katina's total money raised was 2.83 standard deviations greater than the average of $32.50 raised by each student