Question

In: Statistics and Probability

Fund Name Fund Type Net Asset Value ($) 5 Year Average Return (%) Expense Ratio (%)...

Fund Name Fund Type Net Asset Value ($) 5 Year Average Return (%) Expense Ratio (%) Morningstar Rank
Amer Cent Inc & Growth Inv DE 28.88 12.39 0.67 2-Star
American Century Intl. Disc IE 14.37 30.53 1.41 3-Star
American Century Tax-Free Bond FI 10.73 3.34 0.49 4-Star
American Century Ultra DE 24.94 10.88 0.99 3-Star
Ariel DE 46.39 11.32 1.03 2-Star
Artisan Intl Val IE 25.52 24.95 1.23 3-Star
Artisan Small Cap DE 16.92 15.67 1.18 3-Star
Baron Asset DE 50.67 16.77 1.31 5-Star
Brandywine DE 36.58 18.14 1.08 4-Star
Brown Cap Small DE 35.73 15.85 1.20 4-Star
Buffalo Mid Cap DE 15.29 17.25 1.02 3-Star
Delafield DE 24.32 17.77 1.32 4-Star
DFA U.S. Micro Cap DE 13.47 17.23 0.53 3-Star
Dodge & Cox Income FI 12.51 4.31 0.44 4-Star
Fairholme DE 31.86 18.23 1.00 5-Star
Fidelity Contrafund DE 73.11 17.99 0.89 5-Star
Fidelity Municipal Income FI 12.58 4.41 0.45 5-Star
Fidelity Overseas IE 48.39 23.46 0.90 4-Star
Fidelity Sel Electronics DE 45.60 13.50 0.89 3-Star
Fidelity Sh-Term Bond FI 8.60 2.76 0.45 3-Star
Fidelity DE 39.85 14.40 0.56 4-Star
FPA New Income FI 10.95 4.63 0.62 3-Star
Gabelli Asset AAA DE 49.81 16.70 1.36 4-Star
Greenspring DE 23.59 12.46 1.07 3-Star
Janus DE 32.26 12.81 0.90 3-Star
Janus Worldwide IE 54.83 12.31 0.86 2-Star
Kalmar Gr Val Sm Cp DE 15.30 15.31 1.32 3-Star
Managers Freemont Bond FI 10.56 5.14 0.60 5-Star
Marsico 21st Century DE 17.44 15.16 1.31 5-Star
Mathews Pacific Tiger IE 27.86 32.70 1.16 3-Star
Meridan Value DE 31.92 15.33 1.08 4-Star
Oakmark I DE 40.37 9.51 1.05 2-Star
PIMCO Emerg Mkts Bd D FI 10.68 13.57 1.25 3-Star
RS Value A DE 26.27 23.68 1.36 4-Star
T. Rowe Price Latin Am. IE 53.89 51.10 1.24 4-Star
T. Rowe Price Mid Val DE 22.46 16.91 0.80 4-Star
Templeton Growth A IE 24.07 15.91 1.01 3-Star
Thornburg Value A DE 37.53 15.46 1.27 4-Star
USAA Income FI 12.10 4.31 0.62 3-Star
Vanguard Equity-Inc DE 24.42 13.41 0.29 4-Star
Vanguard Global Equity IE 23.71 21.77 0.64 5-Star
Vanguard GNMA FI 10.37 4.25 0.21 5-Star
Vanguard Sht-Tm TE FI 15.68 2.37 0.16 3-Star
Vanguard Sm Cp Idx DE 32.58 17.01 0.23 3-Star
Wasatch Sm Cp Growth DE 35.41 13.98 1.19 4-Star

Ques: Show a frequency distribution and histogram for "5 Year Average Return (%)" using an appropriate number of class intervals (between 10 and 15). Use clear and effective labels and titles to present the result. Explain the distribution of the variable.

Solutions

Expert Solution

The frequency distribution is:

5 Year Average Return (%) cumulative
lower upper midpoint width frequency percent      frequency percent
0.0 < 5.0 2.5 5.0 8   17.8   8   17.8  
5.0 < 10.0 7.5 5.0 2   4.4   10   22.2  
10.0 < 15.0 12.5 5.0 11   24.4   21   46.7  
15.0 < 20.0 17.5 5.0 17   37.8   38   84.4  
20.0 < 25.0 22.5 5.0 4   8.9   42   93.3  
25.0 < 30.0 27.5 5.0 0   0.0   42   93.3  
30.0 < 35.0 32.5 5.0 2   4.4   44   97.8  
35.0 < 40.0 37.5 5.0 0   0.0   44   97.8  
40.0 < 45.0 42.5 5.0 0   0.0   44   97.8  
45.0 < 50.0 47.5 5.0 0   0.0   44   97.8  
50.0 < 55.0 52.5 5.0 1   2.2   45   100.0  
45   100.0  

The histogram is:

The distribution is skewed to the right.

Please give me a thumbs-up if this helps you out. Thank you!


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