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Sagot :
To create a stem-and-leaf plot for the batting averages provided, we follow these steps:
1. Interpret the data:
- The batting averages are given as follows:
- Anaheim Angels: 0.259
- Baltimore Orioles: 0.282
- Boston Red Sox: 0.279
- Chicago White Sox: 0.285
- Cleveland Indians: 0.295
- Detroit Tigers: 0.258
- Kansas City Royals: 0.282
- Minnesota Twins: 0.272
- New York Yankees: 0.278
- Oakland Athletics: 0.246
2. Determine the stems and leaves:
- The stem consists of the first digit after the decimal point.
- The leaf consists of the second digit after the decimal point.
- For instance, a batting average of 0.259 has a stem of 5 and a leaf of 9.
3. Extract and categorize stems and leaves:
- Anaheim Angels: Stem = 25, Leaf = 9 (25.9 as a whole number)
- Baltimore Orioles: Stem = 28, Leaf = 2 (28.2 as a whole number)
- Boston Red Sox: Stem = 27, Leaf = 9 (27.9 as a whole number)
- Chicago White Sox: Stem = 28, Leaf = 5 (28.5 as a whole number)
- Cleveland Indians: Stem = 29, Leaf = 5 (29.5 as a whole number)
- Detroit Tigers: Stem = 25, Leaf = 8 (25.8 as a whole number)
- Kansas City Royals: Stem = 28, Leaf = 2 (28.2 as a whole number)
- Minnesota Twins: Stem = 27, Leaf = 2 (27.2 as a whole number)
- New York Yankees: Stem = 27, Leaf = 8 (27.8 as a whole number)
- Oakland Athletics: Stem = 24, Leaf = 6 (24.6 as a whole number)
4. Organize and sort the leaves for each stem:
- Stems and their corresponding leaves are as follows:
- 24: [6]
- 25: [8, 9]
- 27: [2, 8, 9]
- 28: [2, 2, 5]
- 29: [5]
5. Construct the stem-and-leaf plot:
- 24 | 6
- 25 | 8 9
- 27 | 2 8 9
- 28 | 2 2 5
- 29 | 5
However, based on the final sorted result we have from the correct calculations:
The accurate stem-and-leaf plot is condensed into one stem since all rounded to nearest tens:
- 2 | 4, 5, 5, 7, 7, 7, 8, 8, 8, 9
So, the finalized stem-and-leaf plot reflecting the data is:
```
2 | 4 5 5 7 7 7 8 8 8 9
```
This stem-and-leaf plot accurately represents the given batting averages for the teams in the American League at about midseason in 1999.
1. Interpret the data:
- The batting averages are given as follows:
- Anaheim Angels: 0.259
- Baltimore Orioles: 0.282
- Boston Red Sox: 0.279
- Chicago White Sox: 0.285
- Cleveland Indians: 0.295
- Detroit Tigers: 0.258
- Kansas City Royals: 0.282
- Minnesota Twins: 0.272
- New York Yankees: 0.278
- Oakland Athletics: 0.246
2. Determine the stems and leaves:
- The stem consists of the first digit after the decimal point.
- The leaf consists of the second digit after the decimal point.
- For instance, a batting average of 0.259 has a stem of 5 and a leaf of 9.
3. Extract and categorize stems and leaves:
- Anaheim Angels: Stem = 25, Leaf = 9 (25.9 as a whole number)
- Baltimore Orioles: Stem = 28, Leaf = 2 (28.2 as a whole number)
- Boston Red Sox: Stem = 27, Leaf = 9 (27.9 as a whole number)
- Chicago White Sox: Stem = 28, Leaf = 5 (28.5 as a whole number)
- Cleveland Indians: Stem = 29, Leaf = 5 (29.5 as a whole number)
- Detroit Tigers: Stem = 25, Leaf = 8 (25.8 as a whole number)
- Kansas City Royals: Stem = 28, Leaf = 2 (28.2 as a whole number)
- Minnesota Twins: Stem = 27, Leaf = 2 (27.2 as a whole number)
- New York Yankees: Stem = 27, Leaf = 8 (27.8 as a whole number)
- Oakland Athletics: Stem = 24, Leaf = 6 (24.6 as a whole number)
4. Organize and sort the leaves for each stem:
- Stems and their corresponding leaves are as follows:
- 24: [6]
- 25: [8, 9]
- 27: [2, 8, 9]
- 28: [2, 2, 5]
- 29: [5]
5. Construct the stem-and-leaf plot:
- 24 | 6
- 25 | 8 9
- 27 | 2 8 9
- 28 | 2 2 5
- 29 | 5
However, based on the final sorted result we have from the correct calculations:
The accurate stem-and-leaf plot is condensed into one stem since all rounded to nearest tens:
- 2 | 4, 5, 5, 7, 7, 7, 8, 8, 8, 9
So, the finalized stem-and-leaf plot reflecting the data is:
```
2 | 4 5 5 7 7 7 8 8 8 9
```
This stem-and-leaf plot accurately represents the given batting averages for the teams in the American League at about midseason in 1999.
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