Statistics – Variation and Standard Deviation

A population of scores has μ = 20 and σ = 5. If every score in the population is multiplied by 2, then the new values for the meanand standard deviationwould be:

standard deviation = _______________

A sample of scores has M = 30 and s = 10. If 3 points are added to every score in the population, then the new values for the mean and standard deviation would be:

standard deviation = _______________

A developmental psychologist studies the number of words seven infants have learned at a particular age. Find the mean, SS, variance, and standard deviation of the number of words learned by this POPULATION of infants.

X f
——————–
9 2
8 3
7 4
6 1
5 3
4 5
3 0
2 1
1 2
0 4

SS:_______________________

Variance:_______________________

Standard Deviation:_______________________

What would the standard deviation be if this were a sample?

The expert examines variation and standard deviation in statistics. Complete, Neat and Step-by-step Solutions are provided. Also attached Excel file for Solution.