A population has µ = 50 and σ = 5.If 10 points are added to every score in the population,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 = 60 and σ = 5
D)µ = 60 and σ = 15

Question

A population has µ = 50 and σ = 5.If 10 points are added to every score in the population,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 = 60 and σ = 5
D)​µ = 60 and σ = 15

Quizplus · Accepted Answer

Adding 10 to every score in the population will shift both the mean and standard deviation by 10 units. Therefore, the new mean will be µ + 10 = 50 + 10 = 60. However, the standard deviation will remain the same because adding a constant to every score does not change the variability in the data, so σ = 5 remains unchanged. Therefore, the correct answer is C, µ = 60 and σ = 5.

A Population Has µ = 50 and σ = 5