Six years ago, you purchased $100$ shares of common stock for $$36\mathrm{.}78$ per share. Since that time, the annual returns were $12\mathrm{.}8\%,(9\mathrm{.}3\%),2\mathrm{.}3\%,12\mathrm{.}7\%,4\mathrm{.}3\%,$ and $(5\mathrm{.}3\%).$ Based on these annual returns, calculate the stock$$s standard deviation and the range of returns within which you$$d expect the annual return to be within $95\%$ of the time.

Select one:

a$.$

$(15\mathrm{.}25\%)$ to $21\mathrm{.}08\%$

b$.$

$(12\mathrm{.}84\%)$ to $17\mathrm{.}81\%$

c$.$

$(14\mathrm{.}66\%)$ to $20\mathrm{.}33\%$

d$.$

$(8\mathrm{.}37\%)$ to $15\mathrm{.}93\%$

e$.$

$(5\mathrm{.}94\%)$ to $12\mathrm{.}87\%$