Stem-and-leaf plot worksheet for students to practice organizing numerical data into plots, with examples and keys provided.

Let's solve each stem-and-leaf plot step by step and explain the process.

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What is a Stem-and-Leaf Plot?

A stem-and-leaf plot is a way to display data that shows both the distribution and individual values.
- The stem represents the leading digit(s) of the number.
- The leaf represents the trailing digit(s).
- The key explains how to read the plot (e.g., `3|7 = 37` means the stem 3 and leaf 7 make the number 37).

We will sort the data, then group them by stems and list leaves in ascending order.

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## Problem 1:
Data: 26, 37, 48, 33, 49, 26, 19, 26, 48

Step 1: Sort the data

19, 26, 26, 26, 33, 37, 48, 48, 49

Step 2: Identify stems (tens place)

Stems: 1, 2, 3, 4

Step 3: List leaves (ones place) for each stem

- 1 → 9 → Leaf: 9
- 2 → 6,6,6 → Leaves: 6,6,6
- 3 → 3,7 → Leaves: 3,7
- 4 → 8,8,9 → Leaves: 8,8,9

Stem-and-Leaf Plot:

```
Stem | Leaf
1 | 9
2 | 6 6 6
3 | 3 7
4 | 8 8 9
```

Key: `3|7 = 37`

✔ Answer:
```
Stem | Leaf
1 | 9
2 | 6 6 6
3 | 3 7
4 | 8 8 9
Key: 3|7 = 37
```

---

## Problem 2:
Data: 67, 42, 58, 41, 54, 65, 65, 54, 69, 53

Step 1: Sort the data

41, 42, 53, 54, 54, 58, 65, 65, 67, 69

Step 2: Stems (tens)

Stems: 4, 5, 6

Step 3: Leaves

- 4 → 1,2 → Leaves: 1,2
- 5 → 3,4,4,8 → Leaves: 3,4,4,8
- 6 → 5,5,7,9 → Leaves: 5,5,7,9

Plot:

```
Stem | Leaf
4 | 1 2
5 | 3 4 4 8
6 | 5 5 7 9
```

Key: `6|5 = 65`

✔ Answer:
```
Stem | Leaf
4 | 1 2
5 | 3 4 4 8
6 | 5 5 7 9
Key: 6|5 = 65
```

---

## Problem 3:
Data: 552, 547, 578, 543, 559, 565, 544, 552

Step 1: Sort

543, 544, 547, 552, 552, 559, 565, 578

Step 2: Stems (hundreds and tens): We use 54, 55, 56, 57 as stems (since numbers are around 500s)

So stem = first two digits, leaf = last digit

- 54 → 3,4,7 → Leaves: 3,4,7
- 55 → 2,2,9 → Leaves: 2,2,9
- 56 → 5 → Leaf: 5
- 57 → 8 → Leaf: 8

Plot:

```
Stem | Leaf
54 | 3 4 7
55 | 2 2 9
56 | 5
57 | 8
```

Key: `55|9 = 559`

✔ Answer:
```
Stem | Leaf
54 | 3 4 7
55 | 2 2 9
56 | 5
57 | 8
Key: 55|9 = 559
```

---

## Problem 4:
Data: 5.8, 6.4, 5.8, 7.5, 6.9, 8.4, 7.6, 6.4, 8.7

These are decimals. We'll use:
- Stem: whole number part
- Leaf: tenths place

Step 1: Sort

5.8, 5.8, 6.4, 6.4, 6.9, 7.5, 7.6, 8.4, 8.7

Step 2: Stems: 5, 6, 7, 8

Step 3: Leaves

- 5 → 8,8 → Leaves: 8,8
- 6 → 4,4,9 → Leaves: 4,4,9
- 7 → 5,6 → Leaves: 5,6
- 8 → 4,7 → Leaves: 4,7

Plot:

```
Stem | Leaf
5 | 8 8
6 | 4 4 9
7 | 5 6
8 | 4 7
```

Key: `8|4 = 8.4`

✔ Answer:
```
Stem | Leaf
5 | 8 8
6 | 4 4 9
7 | 5 6
8 | 4 7
Key: 8|4 = 8.4
```

---

## Problem 5:
Data: 74, 88, 97, 72, 79, 86, 79, 83, 91

Step 1: Sort

72, 74, 79, 79, 83, 86, 88, 91, 97

Step 2: Stems: 7, 8, 9

Step 3: Leaves

- 7 → 2,4,9,9 → Leaves: 2,4,9,9
- 8 → 3,6,8 → Leaves: 3,6,8
- 9 → 1,7 → Leaves: 1,7

Plot:

```
Stem | Leaf
7 | 2 4 9 9
8 | 3 6 8
9 | 1 7
```

Key: `8|6 = 86`

✔ Answer:
```
Stem | Leaf
7 | 2 4 9 9
8 | 3 6 8
9 | 1 7
Key: 8|6 = 86
```

---

## Problem 6:
Data: 258, 267, 256, 275, 269, 256, 269, 256

Step 1: Sort

256, 256, 256, 258, 267, 269, 269, 275

Step 2: Stems: Use 25, 26, 27 (first two digits)

- 25 → 6,6,6,8 → Leaves: 6,6,6,8
- 26 → 7,9,9 → Leaves: 7,9,9
- 27 → 5 → Leaf: 5

Plot:

```
Stem | Leaf
25 | 6 6 6 8
26 | 7 9 9
27 | 5
```

Key: `26|9 = 269`

✔ Answer:
```
Stem | Leaf
25 | 6 6 6 8
26 | 7 9 9
27 | 5
Key: 26|9 = 269
```

---

✔ Final Answers:

#### 1)
```
Stem | Leaf
1 | 9
2 | 6 6 6
3 | 3 7
4 | 8 8 9
Key: 3|7 = 37
```

#### 2)
```
Stem | Leaf
4 | 1 2
5 | 3 4 4 8
6 | 5 5 7 9
Key: 6|5 = 65
```

#### 3)
```
Stem | Leaf
54 | 3 4 7
55 | 2 2 9
56 | 5
57 | 8
Key: 55|9 = 559
```

#### 4)
```
Stem | Leaf
5 | 8 8
6 | 4 4 9
7 | 5 6
8 | 4 7
Key: 8|4 = 8.4
```

#### 5)
```
Stem | Leaf
7 | 2 4 9 9
8 | 3 6 8
9 | 1 7
Key: 8|6 = 86
```

#### 6)
```
Stem | Leaf
25 | 6 6 6 8
26 | 7 9 9
27 | 5
Key: 26|9 = 269
```

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