A population of scores has µ = 50 and σ = 5.If every score in the population is multiplied by 3,then what are the new values for the mean and standard deviation?
A)µ = 50 and σ = 5
B)µ = 50 and σ = 15
C)µ = 150 and σ = 5
D)µ = 150 and σ = 15

Question

A population of scores has µ = 50 and σ = 5.If every score in the population is multiplied by 3,then what are the new values for the mean and standard deviation?​
A)​µ = 50 and σ = 5
B)​µ = 50 and σ = 15
C)​µ = 150 and σ = 5
D)​µ = 150 and σ = 15

Quizplus · Accepted Answer

When every score in a population is multiplied by a constant, the mean (µ) is also multiplied by that constant, and the standard deviation (σ) is multiplied by the absolute value of that constant. Therefore, the new mean is 3*50 = 150, and the new standard deviation is 3*5 = 15.

A Population of Scores Has µ = 50 and σ