After taking 23, 5-point, quizzes during the semester, both Jabari and Elaine have an average quiz score of 4.00. However, the standard deviation of Jabari's scores was .76 and Elaine's standard deviation was .25. What does it mean that Jabari and Elaine had the same quiz average but very different standard deviations?
A) Jabari was above the class average but Elaine was below the class mean
B) Jabari was more consistent than Elaine
C) Elaine's individual quiz scores were closer to her average while Jabari's scores were more variable
D) Jabari performed better than Elaine

Question

Quizplus · Accepted Answer

The standard deviation is a measure of the amount of variation or dispersion of a set of values. A lower standard deviation means that the values tend to be closer to the mean (or average) of the set, while a higher standard deviation means that the values are spread out over a wider range. Since Jabari and Elaine had the same average but Jabari had a higher standard deviation, it means Elaine's scores were more consistently close to the average, while Jabari's scores varied more.

After Taking 23, 5-Point, Quizzes During the Semester, Both Jabari