Let’s go through each problem step by step to make sure we get the stem-and-leaf plots right.
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Problem 1: Data = 26, 37, 48, 33, 49, 26, 19, 26, 48
We group numbers by their tens digit (stem) and list the ones digits (leaves).
- Stem 1 → only 19 → leaf: 9
- Stem 2 → 26, 26, 26 → leaves: 6, 6, 6
- Stem 3 → 37, 33 → leaves: 3, 7 (usually written in order: 3, 7)
- Stem 4 → 48, 49, 48 → leaves: 8, 8, 9
Key: 3|7 means 37 → correct.
✔ Matches answer key.
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Problem 2: Data = 67, 42, 58, 41, 54, 65, 65, 54, 69, 53
Group by tens:
- Stem 4 → 42, 41 → leaves: 1, 2
- Stem 5 → 58, 54, 54, 53 → leaves: 3, 4, 4, 8
- Stem 6 → 67, 65, 65, 69 → leaves: 5, 5, 7, 9
Key: 6|5 = 65 → correct.
✔ Matches answer key.
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Problem 3: Data = 552, 547, 578, 543, 559, 565, 544, 552
Here, stems are the first two digits (hundreds and tens), leaves are the last digit (ones).
So:
- 54 | 3, 4, 7 → from 543, 544, 547
- 55 | 2, 2, 9 → from 552, 552, 559
- 56 | 5 → from 565
- 57 | 8 → from 578
Key: 55|9 = 559 → correct.
✔ Matches answer key.
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Problem 4: Data = 5.8, 6.4, 5.8, 7.5, 6.9, 8.4, 7.6, 6.4, 8.7
Stems are whole number part, leaves are decimal part.
- Stem 5 → 5.8, 5.8 → leaves: 8, 8
- Stem 6 → 6.4, 6.4, 6.9 → leaves: 4, 4, 9
- Stem 7 → 7.5, 7.6 → leaves: 5, 6
- Stem 8 → 8.4, 8.7 → leaves: 4, 7
Key: 8|4 = 8.4 → correct.
✔ Matches answer key.
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Problem 5: Data = 74, 88, 97, 72, 79, 86, 95, 79, 83, 91
Group by tens:
- Stem 7 → 74, 72, 79, 79 → leaves: 2, 4, 9, 9
- Stem 8 → 88, 86, 83 → leaves: 3, 6, 8
- Stem 9 → 97, 95, 91 → leaves: 1, 5, 7
Key: 8|6 = 86 → correct.
✔ Matches answer key.
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Problem 6: Data = 258, 267, 256, 275, 269, 256, 269, 256
Stems = first two digits (hundreds and tens), leaves = last digit.
- Stem 25 → 258, 256, 256, 256 → leaves: 6, 6, 6, 8
- Stem 26 → 267, 269, 269 → leaves: 7, 9, 9
- Stem 27 → 275 → leaf: 5
Key: 26|9 = 269 → correct.
✔ Matches answer key.
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All answers provided in the image match the correct stem-and-leaf plots for each dataset.
Final Answer:
The answer key shown is fully correct for all six problems.
Parent Tip: Review the logic above to help your child master the concept of stem and leaf plot worksheet 4th grade.