The historical returns for two investments$$A and B$$are summarized in the following table for the period $2016$ to $2020,.$ Use the data to answer the questions that follow.

a$.$ On the basis of a review of the return data, which investment appears to be more risky? Why?

b$.$ Calculate the standard deviation for each investment's returns.

c$.$ On the basis of your calculations in part b$,$ which investment is more risky? Compare this conclusion to your observation in part a$.$

a$.$ On the basis of a review of the return data, which investment appears to be more risky? Why? $($Choose the best answer below.$)$

A$.$ Investment A and investment B have equal risk because the average returns are the same.

B$.$ The riskier investment appears to be investment B$,$ with returns that vary widely from the average relative to investment $A,$ whose returns show less deviation from the average.

C$.$ The riskier investment appears to be investment $A,$ with returns that vary widely from the average relative to investment $B,$ whose returns show less deviation from the average.

D$.$ The riskier investment appears to be investment B$,$ with returns that are closer to the average relative to investment $A,$ whose returns are farther from the average.

b$.$ The standard deviation for investment $A$ is $\%.($Round to two decimal places.$)$

ata table

$\backslash$table$[[,$A$,$B$],[$Year$,$Rate of$],[2016,22\mathrm{.}1\%,13\mathrm{.}6\%$