The "expense ratio" is a measure of the cost of managing the portfolio. Investors prefer a low expense ratio, all else equal. Below are expense ratios for 23 randomly chosen stock funds and 21 randomly chosen bond funds, (a) Calculate the mean and median for each sample, (b) Compare central tendency in expense ratios for stock funds and bond funds, (c) Calculate the standard deviation and coefficient of variation for each sample, (d) Which type of fund has more variability? Explain. (Data are from Money 32, no. 2 [February 2003]. Stock funds were selected from 1,699 funds by taking the 10th fund on each page in the list. Bond funds were selected from 499 funds by taking the 10th, 20th, and 30th fund on each page in the list.)
23 Stock Funds |
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1.12 1.44 1.27 | 1.75 | 0.99 | 1.45 | 1.19 | 1.22 | 0.99 | 3.18 | 1.21 | 1.89 |
0.60 2.10 0.73 | 0.90 | 1.79 | 1.35 | 1.08 | 1.28 | 1.20 | 1.68 | 0.15 |
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21 Bond Funds |
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1.96 0.51 1.12 | 0.64 | 0.69 | 0.20 | 1.44 | 0.68 | 0.40 | 0.94 | 0.75 | 1.77 |
0.93 1.25 0.85 | 0.99 | 0.95 | 0.35 | 0.64 | 0.41 | 0.90 |
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