Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows.45518755355924607189683845425093738905083305948355035272742Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.)Percent of Wetlands Lost How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.)The percentages are concentrated from 20% to 60%.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands.These data are strongly skewed left.These data are fairly symmetric, perhaps slightly skewed right.The percentages are concentrated from 60% to 90%.There are no gaps in the data.
Question
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows.45518755355924607189683845425093738905083305948355035272742Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.)Percent of Wetlands Lost How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.)The percentages are concentrated from 20% to 60%.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands.These data are strongly skewed left.These data are fairly symmetric, perhaps slightly skewed right.The percentages are concentrated from 60% to 90%.There are no gaps in the data.
Solution
First, let's create a stem-and-leaf display of the data. The stem will be the tens digit and the leaf will be the ones digit.
| Stem | Leaf |
|---|---|
| 2 | 4, 7 |
| 3 | 8, 9 |
| 4 | 2, 5, 5, 5, 7, 8 |
| 5 | 0, 0, 3, 5, 9 |
| 6 | 0, 7, 8 |
| 7 | 1, 1, 2 |
| 8 | 3, 3, 9 |
| 9 | 0, 3, 5, 7 |
Now, let's analyze the distribution of the data.
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The percentages are concentrated from 40% to 80%. This is evident from the stem-and-leaf display where most of the data points fall within this range.
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There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. This is evident as there is no stem for the tens digit 1.
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There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. This is evident as there is only one leaf (0) for the stem 6.
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These data are not strongly skewed left. A left skew would mean that the tail on the left side of the distribution is longer or fatter than the right side. In this case, the tail on the left side is not longer or fatter.
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These data are fairly symmetric, perhaps slightly skewed right. This is because the tail on the right side of the distribution is slightly longer or fatter than the left side.
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The percentages are not concentrated from 60% to 90%. While there are data points in this range, they are not the majority.
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There are gaps in the data. As mentioned earlier, there are gaps in the tens digit for 1 and between 60% to 69%.
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