Sometimes, data must be modified before a stem-and-leaf plot may be constructed.

Question

Sometimes, data must be modified before a stem-and-leaf plot may be constructed. For example, the data in the accompanying table represent the five-year rate of return of 20 mutual funds and are reported to the hundredth decimal place. So, if we used the integer portion of the data as the stem and the decimals as the leaves, then the stems would be 8 9, 10, ..., 19, but the leaves would be two digits (such as 94, 53, and so on). This is not acceptable since each leaf must be a single digit. To resolve this problem, we round the data to the nearest tenth. Complete parts (a) through (c) below EEB Click the icon to view the table of five-year rates of return (a) Round the data to the nearest tenth 10.08 9.91 9.14 10.48 8.93 9.21 8.08 10.01 8.78 10.67 9.67 8.74 9.46 11.45 9.49A 11.26 Five-year rate of return of mutual funds 8.77 8.43 8.11 10.08 9.14 8.08 9.67 9.49C 9.91 10.48 10.01 8.74 11.26 11.17 8.93 8.78 9.46 8.77 8.11 9.21 10.67 11.45 8.43 (b) Draw a stem-and-leaf plot of the modified data Print Done Legend: 810 represents 8.0 (c) Describe the shape of the distribution. Choose the correct answer below O A. The distribution is skewed right because the right tail is longer than the left tail. B. O C. O D. The distribution is bell-shaped because the middle stems in the stem-and-leaf plot have the highest frequencies, and the frequencies tail off to each side of these stems The distribution is skewed left because the left tail is longer than the right tail The distribution is uniform because the frequencies of the stems in the stem-and-leaf plot are equal

Explanation / Answer

A)10.8, 9.1, 8.1, 9.7, 9.5 , 9.9 ,10.5, 10.0, 8.7, 11.3, 11.2, 8.9, 8.8, 9.5, 8.8, 8.1, 9.2, 10.7, 11.4 , 8.4

B) The decimal point is at the |

8 | 1147889
9 | 125579
10 | 0578

c) the distribution is Right skewed we can check it by checking its positions of means and median.

thanks :)

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