Four students have applied to a special program and only one can be accepted.They have taken a battery of 12 tests and all have exactly the same average score.The standard deviation of their test scores are: Student A = 3.12,Student B = 0.27,Student C = 13.45,Student D = 6.45.If consistency of performance is a criteria for acceptance,which of the four students should be selected?
A)A
B)B
C)C
D)D

Question

Quizplus · Accepted Answer

Consistency of performance can be measured by the standard deviation. The lower the standard deviation, the more consistent the performance. Thus, Student B should be selected as they have the lowest standard deviation of 0.27. The other students have much higher standard deviations, indicating greater variability in their test scores and less consistency in their performance.

Four Students Have Applied to a Special Program and Only