| Rating | | 60 randomly selected shoppers have a rated a new bottle design for a popular soft drink. |
| 34 | | (50 points total) |
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| 24 | | #1 | Sort the data as ascending. | | | (2 points) |
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| 31 | | #2 | Use Sturges's formula to find the number of classes that should be used to construct a frequency distribution for the bottle design ratings. (2 points) |
| 32 | | | Note: based on how the class width is rounded, the final table could have more or fewer classes than this. |
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| 25 | | #3 | Find the range. (2 points) |
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| 28 | | #4 | Find the class width. Remember to round up. (2 points) |
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| 30 | | #5 | Define the nonoverlapping classes for a frequency distribution by finding the lower and upper limits. (8 points) |
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| 27 | | #6 | Find the frequencies for each class and develop a frequency distribution. (4 points) |
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| 30 | | #7 | Compute the relative frequencies and percent frequencies. (8 points) |
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| 34 | | #8 | Find the midpoints of the classes. (4 points) |
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| 33 | | #9 | Draw the frequency histogram for the ratings data, and describe the distribution shape. (4 points) |
| 34 | | | Label the horizontal axis with the midpoints. |
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| 31 | | #10 | Approximate the standard deviation using the range rule of thumb. SD is approx range/4. (2 points) |
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| 26 | | #11 | Find the summary statistics; in particular the mean, median, mode, variance, and standard deviation. (10 points) |
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| 31 | | #12 | Find the coefficient of variation. (2 points) | | | | | CV = SD/Mean*100 |
| 31 | | | Use the mean and SD from the computed statistics in #11. |
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