A mutual fund is a professionally managed investmentscheme that pools money from many investorsand invests in a variety of securities. Growth fundsfocus primarily on increasing the value of investments,whereas blended funds seek a balance betweencurrent income and growth. Here is data on theexpense ratio (expenses as a % of assets, from www.morningstar.com) for samples of 20 large-cap balancedfunds and 20 large-cap growth funds (“largecap”refers to the sizes of companies in which thefunds invest; the population sizes are 825 and 762,respectively):Bl 1.03 1.23 1.10 1.64 1.301.27 1.25 0.78 1.05 0.640.94 2.86 1.05 0.75 0.090.79 1.61 1.26 0.93 0.84Gr 0.52 1.06 1.26 2.17 1.550.99 1.10 1.07 1.81 2.050.91 0.79 1.39 0.62 1.521.02 1.10 1.78 1.01 1.15 a. Calculate and compare the values of x, x , , and s forthe two types of funds.b. Construct a comparative boxplot for the two types offunds, and comment on interesting features.
Unitary Method
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Speed, Time, and Distance
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Profit and Loss
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Units and Measurements
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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 (“largecap”
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 x, x , , and s for
the two types of funds.
b. Construct a comparative boxplot for the two types of
funds, and comment on interesting features.
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