Worksheet for creating stem-and-leaf plots with data on toys and cookies.

Let's solve the two problems step by step. We'll create stem-and-leaf plots, then calculate the mean, median, mode, and range for each data set.

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Problem 1: Toys bought for children

Data:
19, 50, 30, 47, 84, 48, 37, 39, 51, 56, 59

#### Step 1: Create a Stem-and-Leaf Plot
We split each number into a stem (tens digit) and a leaf (ones digit).

List the numbers in order:
19, 30, 37, 39, 47, 48, 50, 51, 56, 59, 84

Now group by stems:

| Stem | Leaf |
|------|------|
| 1 | 9 |
| 3 | 0, 7, 9 |
| 4 | 7, 8 |
| 5 | 0, 1, 6, 9 |
| 8 | 4 |

> Note: The stem "2" is missing because no number starts with 20–29.

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#### Step 2: Find the Mean
Sum all values and divide by the number of values.

Sum = 19 + 30 + 37 + 39 + 47 + 48 + 50 + 51 + 56 + 59 + 84
= Let's compute step by step:

- 19 + 30 = 49
- 49 + 37 = 86
- 86 + 39 = 125
- 125 + 47 = 172
- 172 + 48 = 220
- 220 + 50 = 270
- 270 + 51 = 321
- 321 + 56 = 377
- 377 + 59 = 436
- 436 + 84 = 520

Number of values = 11

Mean = 520 ÷ 11 ≈ 47.27

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#### Step 3: Find the Median
Arrange in order (already done):
19, 30, 37, 39, 47, 48, 50, 51, 56, 59, 84

There are 11 values → middle is the 6th value.

Median = 48

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#### Step 4: Find the Mode
Mode is the most frequent value.

All values appear only once → No mode

(Or we can say “None”)

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#### Step 5: Find the Range
Range = Maximum – Minimum
= 84 – 19 = 65

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✔ Problem 1 Summary:

| Statistic | Value |
|----------|-------------|
| Mean | 47.27 |
| Median | 48 |
| Mode | None |
| Range | 65 |

---

Problem 2: Cookies baked in December

Data:
18, 12, 24, 10, 30, 12, 20, 24, 25, 10, 24

#### Step 1: Create a Stem-and-Leaf Plot

First, sort the data:
10, 10, 12, 12, 18, 20, 24, 24, 24, 25, 30

Now group by stems:

| Stem | Leaf |
|------|------|
| 1 | 0, 0, 2, 2, 8 |
| 2 | 0, 4, 4, 4, 5 |
| 3 | 0 |

---

#### Step 2: Find the Mean

Sum = 10 + 10 + 12 + 12 + 18 + 20 + 24 + 24 + 24 + 25 + 30
Calculate:

- 10+10 = 20
- +12 = 32
- +12 = 44
- +18 = 62
- +20 = 82
- +24 = 106
- +24 = 130
- +24 = 154
- +25 = 179
- +30 = 209

Number of values = 11

Mean = 209 ÷ 11 = 19

---

#### Step 3: Find the Median

Sorted list:
10, 10, 12, 12, 18, 20, 24, 24, 24, 25, 30

Middle value (6th) = 20

Median = 20

---

#### Step 4: Find the Mode

Most frequent value:
24 appears three times → Mode = 24

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#### Step 5: Find the Range

Max = 30
Min = 10
Range = 30 – 10 = 20

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✔ Problem 2 Summary:

| Statistic | Value |
|----------|-------------|
| Mean | 19 |
| Median | 20 |
| Mode | 24 |
| Range | 20 |

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Final Answer to Fill in the Worksheet:

#### 1) Toys bought for children

Stem-and-Leaf Plot:

```
Stem | Leaf
1 | 9
3 | 0 7 9
4 | 7 8
5 | 0 1 6 9
8 | 4
```

- Mean: 47.27
- Median: 48
- Mode: None
- Range: 65

---

#### 2) Cookies baked in December

Stem-and-Leaf Plot:

```
Stem | Leaf
1 | 0 0 2 2 8
2 | 0 4 4 4 5
3 | 0
```

- Mean: 19
- Median: 20
- Mode: 24
- Range: 20

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✔ You now have complete answers for both problems! Let me know if you'd like this formatted as a printable worksheet or need help drawing it neatly.