53. A mutual fund is a professionally managed investment scheme that pools money from many investors and invests in a variety of securities. Growth funds focus primarily on increasing the value of investments, whereas blended funds seek a balance between current income and growth. Here is data on the expense ratio (expenses as a % of assets, from www.morningstar.com) for samples of 20 large-cap balanced funds and 20 large-cap growth funds (“large-cap” refers to the sizes of companies in which the funds invest; the population sizes are 825 and 762, respectively):

Bl 1.03 1.23 1.10 1.64 1.30 1.27 1.25 0.78 1.05 0.64 0.94 2.86 1.05 0.75 0.09 0.79 1.61 1.26 0.93 0.84 Gr 0.52 1.06 1.26 2.17 1.55 0.99 1.10 1.07 1.81 2.05 0.91 0.79 1.39 0.62 1.52 1.02 1.10 1.78 1.01 1.15

a. Calculate and compare the values of , , and s for the two types of funds.

b. Construct a comparative boxplot for the two types of funds, and comment on interesting features.