Stem and Leaf Plot Worksheets - Free Printable
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Step-by-step solution for: Stem and Leaf Plot Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Stem and Leaf Plot Worksheets
Let’s go through each stem-and-leaf plot one by one.
We are given sets of numbers, and we need to organize them into a stem-and-leaf plot. The “stem” is usually the first digit(s) (like tens place), and the “leaf” is the last digit (ones place). We also have keys that tell us how to read the plots — for example, “18 | 9 = 189” means the stem is 18, leaf is 9 → number is 189.
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Problem 1: Data = 26, 37, 40, 51, 48, 78, 29, 40
Stems will be based on tens: 2, 3, 4, 5, 7
List in order by stem:
- Stem 2: leaves 6, 9 → 26, 29
- Stem 3: leaf 7 → 37
- Stem 4: leaves 0, 8, 0 → but sort them: 0, 0, 8 → 40, 40, 48
- Stem 5: leaf 1 → 51
- Stem 7: leaf 8 → 78
So:
Stem | Leaf
2 | 6 9
3 | 7
4 | 0 0 8
5 | 1
7 | 8
Key: 18 | 9 = 189 → so this key doesn’t match our data? Wait — maybe it’s just an example key format. Our actual key should reflect our data. But since the problem gives “Key: 18 | 9 = 189”, perhaps they want us to use that format even if not matching? Actually, looking again — probably the key is illustrative. For our data, we’d write something like “2 | 6 = 26”. But since the worksheet has pre-printed keys, maybe we just fill stems and leaves as instructed.
Actually, re-read: “Make stem and leaf plots for the given data.” And below each plot there’s a “Key: ___ | ___ = ___” — so we must fill in the correct key based on our data.
For Problem 1, smallest number is 26, largest is 78. So stems are 2,3,4,5,7. A good key would be: 2 | 6 = 26
But let’s check what the worksheet says — it already printed “Key: 18 | 9 = 189” — that seems like a placeholder or example. Probably we are supposed to replace it with our own key. Since instructions say “fill in”, I think we do both: fill stem/leaf AND write correct key.
Wait — actually, looking at the image description, it shows blank spaces under “Stem” and “Leaf” columns, and then “Key: ___ | ___ = ___” — so yes, we fill all blanks.
So for #1:
Stem | Leaf
2 | 6 9
3 | 7
4 | 0 0 8
5 | 1
7 | 8
Key: 2 | 6 = 26 (or any valid one from data)
But to be consistent, pick first number: 26 → 2 | 6 = 26
---
Problem 2: Data = 67, 42, 40, 51, 49, 45, 63, 45, 48, 53
Sort data: 40, 42, 45, 45, 48, 49, 51, 53, 63, 67
Stems: 4, 5, 6
- Stem 4: leaves 0,2,5,5,8,9 → sorted: 0,2,5,5,8,9
- Stem 5: leaves 1,3 → 1,3
- Stem 6: leaves 3,7 → 3,7
Plot:
Stem | Leaf
4 | 0 2 5 5 8 9
5 | 1 3
6 | 3 7
Key: 4 | 0 = 40
---
Problem 3: Data = 502, 547, 578, 549, 509, 565, 544, 592
These are 3-digit numbers. Stems will be first two digits, leaf is last digit.
Break down:
502 → stem 50, leaf 2
547 → stem 54, leaf 7
578 → stem 57, leaf 8
549 → stem 54, leaf 9
509 → stem 50, leaf 9
565 → stem 56, leaf 5
544 → stem 54, leaf 4
592 → stem 59, leaf 2
Now group by stem:
Stem 50: leaves 2, 9 → 502, 509
Stem 54: leaves 7, 9, 4 → sort: 4,7,9 → 544,547,549
Stem 56: leaf 5 → 565
Stem 57: leaf 8 → 578
Stem 59: leaf 2 → 592
Plot:
Stem | Leaf
50 | 2 9
54 | 4 7 9
56 | 5
57 | 8
59 | 2
Key: 50 | 2 = 502
---
Problem 4: Data = 5,6,8,4,8,7,3,6,6,8,6,4,6,6,8,7
All single-digit numbers. So stem is 0, leaf is the number itself.
List: 3,4,4,5,6,6,6,6,6,6,7,7,8,8,8,8
Count:
Stem 0: leaves 3,4,4,5,6,6,6,6,6,6,7,7,8,8,8,8
Sorted: 3,4,4,5,6,6,6,6,6,6,7,7,8,8,8,8
Plot:
Stem | Leaf
0 | 3 4 4 5 6 6 6 6 6 6 7 7 8 8 8 8
Key: 0 | 3 = 3
---
Problem 5: Data = 79, 88, 92, 72, 74, 86, 95, 79, 83, 91
Sort: 72,74,79,79,83,86,88,91,92,95
Stems: 7,8,9
- Stem 7: leaves 2,4,9,9 → 72,74,79,79
- Stem 8: leaves 3,6,8 → 83,86,88
- Stem 9: leaves 1,2,5 → 91,92,95
Plot:
Stem | Leaf
7 | 2 4 9 9
8 | 3 6 8
9 | 1 2 5
Key: 7 | 2 = 72
---
Problem 6: Data = 258,282,259,257,269,256,268,258
Three-digit numbers. Stems: first two digits, leaf: last digit.
Break down:
258 → stem 25, leaf 8
282 → stem 28, leaf 2
259 → stem 25, leaf 9
257 → stem 25, leaf 7
269 → stem 26, leaf 9
256 → stem 25, leaf 6
268 → stem 26, leaf 8
258 → stem 25, leaf 8
Group:
Stem 25: leaves 8,9,7,6,8 → sort: 6,7,8,8,9 → 256,257,258,258,259
Stem 26: leaves 9,8 → 8,9 → 268,269
Stem 28: leaf 2 → 282
Plot:
Stem | Leaf
25 | 6 7 8 8 9
26 | 8 9
28 | 2
Key: 25 | 6 = 256
---
Now, compiling final answers for each problem.
Since the user didn't specify which one to solve, and all are part of the same task, I’ll present all six solutions clearly.
Final Answer:
Problem 1:
Stem | Leaf
2 | 6 9
3 | 7
4 | 0 0 8
5 | 1
7 | 8
Key: 2 | 6 = 26
Problem 2:
Stem | Leaf
4 | 0 2 5 5 8 9
5 | 1 3
6 | 3 7
Key: 4 | 0 = 40
Problem 3:
Stem | Leaf
50 | 2 9
54 | 4 7 9
56 | 5
57 | 8
59 | 2
Key: 50 | 2 = 502
Problem 4:
Stem | Leaf
0 | 3 4 4 5 6 6 6 6 6 6 7 7 8 8 8 8
Key: 0 | 3 = 3
Problem 5:
Stem | Leaf
7 | 2 4 9 9
8 | 3 6 8
9 | 1 2 5
Key: 7 | 2 = 72
Problem 6:
Stem | Leaf
25 | 6 7 8 8 9
26 | 8 9
28 | 2
Key: 25 | 6 = 256
We are given sets of numbers, and we need to organize them into a stem-and-leaf plot. The “stem” is usually the first digit(s) (like tens place), and the “leaf” is the last digit (ones place). We also have keys that tell us how to read the plots — for example, “18 | 9 = 189” means the stem is 18, leaf is 9 → number is 189.
---
Problem 1: Data = 26, 37, 40, 51, 48, 78, 29, 40
Stems will be based on tens: 2, 3, 4, 5, 7
List in order by stem:
- Stem 2: leaves 6, 9 → 26, 29
- Stem 3: leaf 7 → 37
- Stem 4: leaves 0, 8, 0 → but sort them: 0, 0, 8 → 40, 40, 48
- Stem 5: leaf 1 → 51
- Stem 7: leaf 8 → 78
So:
Stem | Leaf
2 | 6 9
3 | 7
4 | 0 0 8
5 | 1
7 | 8
Key: 18 | 9 = 189 → so this key doesn’t match our data? Wait — maybe it’s just an example key format. Our actual key should reflect our data. But since the problem gives “Key: 18 | 9 = 189”, perhaps they want us to use that format even if not matching? Actually, looking again — probably the key is illustrative. For our data, we’d write something like “2 | 6 = 26”. But since the worksheet has pre-printed keys, maybe we just fill stems and leaves as instructed.
Actually, re-read: “Make stem and leaf plots for the given data.” And below each plot there’s a “Key: ___ | ___ = ___” — so we must fill in the correct key based on our data.
For Problem 1, smallest number is 26, largest is 78. So stems are 2,3,4,5,7. A good key would be: 2 | 6 = 26
But let’s check what the worksheet says — it already printed “Key: 18 | 9 = 189” — that seems like a placeholder or example. Probably we are supposed to replace it with our own key. Since instructions say “fill in”, I think we do both: fill stem/leaf AND write correct key.
Wait — actually, looking at the image description, it shows blank spaces under “Stem” and “Leaf” columns, and then “Key: ___ | ___ = ___” — so yes, we fill all blanks.
So for #1:
Stem | Leaf
2 | 6 9
3 | 7
4 | 0 0 8
5 | 1
7 | 8
Key: 2 | 6 = 26 (or any valid one from data)
But to be consistent, pick first number: 26 → 2 | 6 = 26
---
Problem 2: Data = 67, 42, 40, 51, 49, 45, 63, 45, 48, 53
Sort data: 40, 42, 45, 45, 48, 49, 51, 53, 63, 67
Stems: 4, 5, 6
- Stem 4: leaves 0,2,5,5,8,9 → sorted: 0,2,5,5,8,9
- Stem 5: leaves 1,3 → 1,3
- Stem 6: leaves 3,7 → 3,7
Plot:
Stem | Leaf
4 | 0 2 5 5 8 9
5 | 1 3
6 | 3 7
Key: 4 | 0 = 40
---
Problem 3: Data = 502, 547, 578, 549, 509, 565, 544, 592
These are 3-digit numbers. Stems will be first two digits, leaf is last digit.
Break down:
502 → stem 50, leaf 2
547 → stem 54, leaf 7
578 → stem 57, leaf 8
549 → stem 54, leaf 9
509 → stem 50, leaf 9
565 → stem 56, leaf 5
544 → stem 54, leaf 4
592 → stem 59, leaf 2
Now group by stem:
Stem 50: leaves 2, 9 → 502, 509
Stem 54: leaves 7, 9, 4 → sort: 4,7,9 → 544,547,549
Stem 56: leaf 5 → 565
Stem 57: leaf 8 → 578
Stem 59: leaf 2 → 592
Plot:
Stem | Leaf
50 | 2 9
54 | 4 7 9
56 | 5
57 | 8
59 | 2
Key: 50 | 2 = 502
---
Problem 4: Data = 5,6,8,4,8,7,3,6,6,8,6,4,6,6,8,7
All single-digit numbers. So stem is 0, leaf is the number itself.
List: 3,4,4,5,6,6,6,6,6,6,7,7,8,8,8,8
Count:
Stem 0: leaves 3,4,4,5,6,6,6,6,6,6,7,7,8,8,8,8
Sorted: 3,4,4,5,6,6,6,6,6,6,7,7,8,8,8,8
Plot:
Stem | Leaf
0 | 3 4 4 5 6 6 6 6 6 6 7 7 8 8 8 8
Key: 0 | 3 = 3
---
Problem 5: Data = 79, 88, 92, 72, 74, 86, 95, 79, 83, 91
Sort: 72,74,79,79,83,86,88,91,92,95
Stems: 7,8,9
- Stem 7: leaves 2,4,9,9 → 72,74,79,79
- Stem 8: leaves 3,6,8 → 83,86,88
- Stem 9: leaves 1,2,5 → 91,92,95
Plot:
Stem | Leaf
7 | 2 4 9 9
8 | 3 6 8
9 | 1 2 5
Key: 7 | 2 = 72
---
Problem 6: Data = 258,282,259,257,269,256,268,258
Three-digit numbers. Stems: first two digits, leaf: last digit.
Break down:
258 → stem 25, leaf 8
282 → stem 28, leaf 2
259 → stem 25, leaf 9
257 → stem 25, leaf 7
269 → stem 26, leaf 9
256 → stem 25, leaf 6
268 → stem 26, leaf 8
258 → stem 25, leaf 8
Group:
Stem 25: leaves 8,9,7,6,8 → sort: 6,7,8,8,9 → 256,257,258,258,259
Stem 26: leaves 9,8 → 8,9 → 268,269
Stem 28: leaf 2 → 282
Plot:
Stem | Leaf
25 | 6 7 8 8 9
26 | 8 9
28 | 2
Key: 25 | 6 = 256
---
Now, compiling final answers for each problem.
Since the user didn't specify which one to solve, and all are part of the same task, I’ll present all six solutions clearly.
Final Answer:
Problem 1:
Stem | Leaf
2 | 6 9
3 | 7
4 | 0 0 8
5 | 1
7 | 8
Key: 2 | 6 = 26
Problem 2:
Stem | Leaf
4 | 0 2 5 5 8 9
5 | 1 3
6 | 3 7
Key: 4 | 0 = 40
Problem 3:
Stem | Leaf
50 | 2 9
54 | 4 7 9
56 | 5
57 | 8
59 | 2
Key: 50 | 2 = 502
Problem 4:
Stem | Leaf
0 | 3 4 4 5 6 6 6 6 6 6 7 7 8 8 8 8
Key: 0 | 3 = 3
Problem 5:
Stem | Leaf
7 | 2 4 9 9
8 | 3 6 8
9 | 1 2 5
Key: 7 | 2 = 72
Problem 6:
Stem | Leaf
25 | 6 7 8 8 9
26 | 8 9
28 | 2
Key: 25 | 6 = 256
Parent Tip: Review the logic above to help your child master the concept of stem and leaf plot worksheet with answers.
