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Volunteering: Mean and Standard Deviation of a Distribution

APSTAT-8MWLOF

According to U. S. Bureau of Labor Statistics, between September $2014$ and September $2015$, about $25\%$ of the population (age $16$ and older) volunteered with or through an organization at least once. Suppose this value has not changed.

In random samples of adults of size $n=50$, what is the mean and standard deviation of the number of individuals who would say they have volunteered with or through an organization at least once?

A

Mean: $ 0.25$
Standard deviation: $0.0265$

B

Mean: $0.25$
Standard deviation: $0.0612$

C

Mean: $12.5$
Standard deviation: $3.0619$

D

Mean: $13$
Standard deviation: $3$

E

Mean: $25$
Standard deviation: $6.12$