B$.$ You have received a year$-$end bonus of $$5000.$ You decide to invest the money in the stock market and have narrowed your investment options down to two mutual funds. The following data represent the historical quarterly rates of return of each mutual fund for the past $20$ quarters. Each number represents a percentage: a $10\mathrm{.}5$ indicates that the value of the fund increased by $10\mathrm{.}5\%,$ while a $-4\mathrm{.}7$ indicates that the value of the fund decreased by $4\mathrm{.}7\%.$

Describe each data set by determining the shape, center, and spread. Be specific about what measures you are using to describe the center and spread!

Which mutual fund would you invest in$,$ and why?

Mutual Fund A Mutual Fund B

$1\mathrm{.}3-5\mathrm{.}4$

$5\mathrm{.}23\mathrm{.}5$

$7\mathrm{.}3-6\mathrm{.}7$

$6\mathrm{.}4-4\mathrm{.}7$

$-0\mathrm{.}36\mathrm{.}7$

$4\mathrm{.}810\mathrm{.}5$

$8\mathrm{.}61\mathrm{.}4$

$1\mathrm{.}9-1\mathrm{.}1$

$0\mathrm{.}611\mathrm{.}9$

$2\mathrm{.}42\mathrm{.}9$

$3\mathrm{.}48\mathrm{.}9$

$-0\mathrm{.}53\mathrm{.}4$

$6\mathrm{.}84\mathrm{.}3$

$33\mathrm{.}8$

$3\mathrm{.}80\mathrm{.}3$

$-2\mathrm{.}37\mathrm{.}7$

$54\mathrm{.}3$

$1\mathrm{.}85\mathrm{.}9$

$-1\mathrm{.}3-2\mathrm{.}4$

$3\mathrm{.}112\mathrm{.}9$