Educational worksheet for creating stem-and-leaf plots using data on toys bought and cookies baked.

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" has no values, so we skip it.

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#### Step 2: Find the Mean
Sum all numbers and divide by count.

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

Count = 11

Mean = 520 ÷ 11 ≈ 47.27

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#### Step 3: Find the Median
Order is already sorted:
19, 30, 37, 39, 47, 48, 50, 51, 56, 59, 84

Middle value (11th number): The 6th number → 48

Median = 48

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#### Step 4: Find the Mode
Look for most frequent value. All numbers appear only once → No mode

Mode = None

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#### Step 5: Find the Range
Range = Max - Min = 84 - 19 = 65

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✔ Problem 1 Summary:
- 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

---

Problem 2: Cookies baked in December

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

#### Step 1: Order the data
10, 12, 12, 18, 18, 20, 24, 24, 24, 25, 30

#### Step 2: Create Stem-and-Leaf Plot

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

---

#### Step 3: Find the Mean
Sum = 10 + 12 + 12 + 18 + 18 + 20 + 24 + 24 + 24 + 25 + 30
= 10 + 12 = 22
+12 = 34
+18 = 52
+18 = 70
+20 = 90
+24 = 114
+24 = 138
+24 = 162
+25 = 187
+30 = 217

Count = 11

Mean = 217 ÷ 11 ≈ 19.73

---

#### Step 4: Find the Median
Ordered list:
10, 12, 12, 18, 18, 20, 24, 24, 24, 25, 30

Middle value (6th number) → 20

Median = 20

---

#### Step 5: Find the Mode
Most frequent value: 24 appears three times → Mode = 24

---

#### Step 6: Find the Range
Max = 30, Min = 10
Range = 30 - 10 = 20

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✔ Problem 2 Summary:
- Stem-and-Leaf Plot:
```
Stem | Leaf
1 | 0 2 2 8 8
2 | 0 4 4 4 5
3 | 0
```
- Mean: 19.73
- Median: 20
- Mode: 24
- Range: 20

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✔ Final Answer to Fill In:

#### 1) Toys bought for children
```
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 | Leaf
1 | 0 2 2 8 8
2 | 0 4 4 4 5
3 | 0
```

- Mean: 19.73
- Median: 20
- Mode: 24
- Range: 20

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