Comprehensive math worksheet designed to help students practice calculating mean, median, and mode using various data sets and stem-and-leaf plots.

Let's solve each problem step by step from the worksheet.

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Problem 1: Find the mean, median, and mode for each set of data

#### 1. 4, 6, 9, 12, 5
- Order the data: 4, 5, 6, 9, 12
- Mean = (4 + 5 + 6 + 9 + 12) / 5 = 36 / 5 = 7.2
- Median = middle number = 6
- Mode = no number repeats → No mode

✔ Answer: Mean = 7.2, Median = 6, Mode = No mode

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#### 2. 7, 13, 4, 7
- Order the data: 4, 7, 7, 13
- Mean = (4 + 7 + 7 + 13) / 4 = 31 / 4 = 7.75
- Median = average of two middle numbers (7 and 7) = (7 + 7)/2 = 7
- Mode = most frequent number = 7

✔ Answer: Mean = 7.75, Median = 7, Mode = 7

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#### 3. 10, 3, 8, 15
- Order the data: 3, 8, 10, 15
- Mean = (3 + 8 + 10 + 15) / 4 = 36 / 4 = 9
- Median = average of 8 and 10 = (8 + 10)/2 = 9
- Mode = all values appear once → No mode

✔ Answer: Mean = 9, Median = 9, Mode = No mode

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#### 4. 9, 9, 9, 9, 8
- Order the data: 8, 9, 9, 9, 9
- Mean = (8 + 9 + 9 + 9 + 9) / 5 = 44 / 5 = 8.8
- Median = middle number = 9
- Mode = most frequent = 9

✔ Answer: Mean = 8.8, Median = 9, Mode = 9

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#### 5. 300, 24, 40, 50, 60
- Order the data: 24, 40, 50, 60, 300
- Mean = (24 + 40 + 50 + 60 + 300) / 5 = 474 / 5 = 94.8
- Median = middle number = 50
- Mode = all unique → No mode

✔ Answer: Mean = 94.8, Median = 50, Mode = No mode

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#### 6. 23, 23, 12, 12
- Order the data: 12, 12, 23, 23
- Mean = (12 + 12 + 23 + 23) / 4 = 70 / 4 = 17.5
- Median = average of 12 and 23 = (12 + 23)/2 = 17.5
- Mode = both 12 and 23 appear twice → Bimodal: 12 and 23

✔ Answer: Mean = 17.5, Median = 17.5, Mode = 12 and 23

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Stem-and-Leaf Plots: Find median and mode

#### 7. Stem-and-Leaf Plot:
```
Stem | Leaf
7 | 3 5
8 | 2 2 4
9 | 0 4 7 9
10 | 5 8
11 | 4 6
```

- List all numbers:
- 73, 75, 82, 82, 84, 90, 94, 97, 99, 105, 108, 114, 116
- Total numbers = 13 → odd → median is the 7th value
- Ordered list: 73, 75, 82, 82, 84, 90, 94, 97, 99, 105, 108, 114, 116
- Median = 7th number = 94
- Mode = most frequent = 82 (appears twice)

✔ Answer: Median = 94, Mode = 82

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#### 8. Stem-and-Leaf Plot:
```
Stem | Leaf
5 | 3 3
6 | 5 8
7 | 7 7
8 | 3 8 9
```

- List all numbers:
- 53, 53, 65, 68, 77, 77, 83, 88, 89
- Count = 9 → median is 5th number
- Ordered: 53, 53, 65, 68, 77, 77, 83, 88, 89
- Median = 5th number = 77
- Mode = both 53 and 77 appear twice → Bimodal: 53 and 77

✔ Answer: Median = 77, Mode = 53 and 77

---

#### 9. Stem-and-Leaf Plot:
```
Stem | Leaf
9 | 3 5
10 | 2 5 8
11 | 5 8 9
12 | 4 7 8 9
```

- Numbers:
- 93, 95, 102, 105, 108, 115, 118, 119, 124, 127, 128, 129
- Count = 12 → even → median = average of 6th and 7th numbers
- Ordered: 93, 95, 102, 105, 108, 115, 118, 119, 124, 127, 128, 129
- 6th = 115, 7th = 118 → (115 + 118)/2 = 116.5
- Mode = all numbers appear once → No mode

✔ Answer: Median = 116.5, Mode = No mode

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Solve Problems

#### 10. Computer prices: $899, $1295, $1075, $1597, $1800

- Order: 899, 1075, 1295, 1597, 1800
- Count = 5 → median is 3rd number = $1295

✔ Answer: Median price = $1295

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#### 11. Printer prices: $299, $349, $495, $529, $198, $375

- First, order the data:
- 198, 299, 349, 375, 495, 529
- Count = 6 → even → median = average of 3rd and 4th
- 3rd = 349, 4th = 375 → (349 + 375)/2 = 724 / 2 = $362

✔ Answer: Median price = $362

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✔ Final Answers Summary:

#### Problems 1–6:
1. Mean = 7.2, Median = 6, Mode = None
2. Mean = 7.75, Median = 7, Mode = 7
3. Mean = 9, Median = 9, Mode = None
4. Mean = 8.8, Median = 9, Mode = 9
5. Mean = 94.8, Median = 50, Mode = None
6. Mean = 17.5, Median = 17.5, Mode = 12 and 23

#### Stem-and-Leaf Plots (7–9):
7. Median = 94, Mode = 82
8. Median = 77, Mode = 53 and 77
9. Median = 116.5, Mode = None

#### Word Problems:
10. Median computer price = $1295
11. Median printer price = $362

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