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Of course! I'll solve the problems for you step-by-step. The task is to find the Mean, Median, Mode, and Range for each set of data.

Here are the definitions we’ll use:

- Mean: Add all numbers together and divide by how many numbers there are.
- Median: Put the numbers in order from least to greatest. If there’s an odd number of values, the median is the middle one. If even, it’s the average of the two middle numbers.
- Mode: The number that appears most often. There can be more than one mode or no mode.
- Range: Subtract the smallest number from the largest number.

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Let’s solve each problem one by one.

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Problem 1 (Already Solved as Example)

Data: 15, 23, 19, 20, 23
Ordered: 15, 19, 20, 23, 23
- Mean: (15+23+19+20+23) = 100 → 100 ÷ 5 = 20
- Median: Middle number = 20
- Mode: 23 appears twice → 23
- Range: 23 - 15 = 8

✔ Already correct!

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Problem 2

Data: 2, 7, 4, 2, 3, 6, 11

Step 1: Order the numbers

→ 2, 2, 3, 4, 6, 7, 11

Step 2: Find Mean

Sum = 2 + 2 + 3 + 4 + 6 + 7 + 11 = 35
Count = 7
Mean = 35 ÷ 7 = 5

Step 3: Find Median

Ordered list has 7 numbers → middle is the 4th number → 4

Step 4: Find Mode

2 appears twice; all others appear once → 2

Step 5: Find Range

Largest = 11, Smallest = 2 → 11 - 2 = 9

✔ Answer for Problem 2:
- Mean: 5
- Median: 4
- Mode: 2
- Range: 9

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Problem 3

Data: 70, 63, 67, 62, 63

Step 1: Order the numbers

→ 62, 63, 63, 67, 70

Step 2: Find Mean

Sum = 62 + 63 + 63 + 67 + 70 = 325
Count = 5
Mean = 325 ÷ 5 = 65

Step 3: Find Median

Middle number (3rd) = 63

Step 4: Find Mode

63 appears twice → 63

Step 5: Find Range

70 - 62 = 8

✔ Answer for Problem 3:
- Mean: 65
- Median: 63
- Mode: 63
- Range: 8

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Problem 4

Data: 11, 4, 7, 8, 2, 6, 4

Step 1: Order the numbers

→ 2, 4, 4, 6, 7, 8, 11

Step 2: Find Mean

Sum = 2 + 4 + 4 + 6 + 7 + 8 + 11 = 42
Count = 7
Mean = 42 ÷ 7 = 6

Step 3: Find Median

Middle number (4th) = 6

Step 4: Find Mode

4 appears twice → 4

Step 5: Find Range

11 - 2 = 9

✔ Answer for Problem 4:
- Mean: 6
- Median: 6
- Mode: 4
- Range: 9

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Problem 5

Data: 22, 37, 19, 25, 37, 51, 82

Step 1: Order the numbers

→ 19, 22, 25, 37, 37, 51, 82

Step 2: Find Mean

Sum = 19 + 22 + 25 + 37 + 37 + 51 + 82 = 273
Count = 7
Mean = 273 ÷ 7 = 39

Step 3: Find Median

Middle number (4th) = 37

Step 4: Find Mode

37 appears twice → 37

Step 5: Find Range

82 - 19 = 63

✔ Answer for Problem 5:
- Mean: 39
- Median: 37
- Mode: 37
- Range: 63

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Problem 6

Data: 6, 2, 13, 7, 6, 11, 10, 6, 2

Step 1: Order the numbers

→ 2, 2, 6, 6, 6, 7, 10, 11, 13

Step 2: Find Mean

Sum = 2 + 2 + 6 + 6 + 6 + 7 + 10 + 11 + 13 = 63
Count = 9
Mean = 63 ÷ 9 = 7

Step 3: Find Median

Middle number (5th) = 6

Step 4: Find Mode

6 appears three times → 6

Step 5: Find Range

13 - 2 = 11

✔ Answer for Problem 6:
- Mean: 7
- Median: 6
- Mode: 6
- Range: 11

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Problem 7

Data: 109, 104, 96, 103, 104, 107, 98

Step 1: Order the numbers

→ 96, 98, 103, 104, 104, 107, 109

Step 2: Find Mean

Sum = 96 + 98 + 103 + 104 + 104 + 107 + 109 = 721
Count = 7
Mean = 721 ÷ 7 = 103

Step 3: Find Median

Middle number (4th) = 104

Step 4: Find Mode

104 appears twice → 104

Step 5: Find Range

109 - 96 = 13

✔ Answer for Problem 7:
- Mean: 103
- Median: 104
- Mode: 104
- Range: 13

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Problem 8

Data: 14, 68, 38, 65, 36, 57, 65

Step 1: Order the numbers

→ 14, 36, 38, 57, 65, 65, 68

Step 2: Find Mean

Sum = 14 + 36 + 38 + 57 + 65 + 65 + 68 = 343
Count = 7
Mean = 343 ÷ 7 = 49

Step 3: Find Median

Middle number (4th) = 57

Step 4: Find Mode

65 appears twice → 65

Step 5: Find Range

68 - 14 = 54

✔ Answer for Problem 8:
- Mean: 49
- Median: 57
- Mode: 65
- Range: 54

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## ✔ Final Answers Summary:

| Problem | Mean | Median | Mode | Range |
|---------|------|--------|------|-------|
| 1 | 20 | 20 | 23 | 8 |
| 2 | 5 | 4 | 2 | 9 |
| 3 | 65 | 63 | 63 | 8 |
| 4 | 6 | 6 | 4 | 9 |
| 5 | 39 | 37 | 37 | 63 |
| 6 | 7 | 6 | 6 | 11 |
| 7 | 103 | 104 | 104 | 13 |
| 8 | 49 | 57 | 65 | 54 |

You can now fill in your worksheet with these answers! Let me know if you’d like a printable version or explanation for any step. 😊