Question

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?

Answer 1

Answer:B

Step-by-step explanation:

Given

Every student secure same average score

Standard deviation is denoted by \sigma

$\sigma _A=3.12$

$\sigma _B=0.27$

$\sigma _C=13.45$

$\sigma _D=6.45$

Consistency is criteria of acceptance then Student should be selected the standard deviation is least for student B.

Standard deviation tells how a data varies from mean Position .

More Deviation from mean indicates less consistency .