Challenge students to calculate statistical measures with this comprehensive worksheet featuring six distinct number sets.

To solve the problem, we need to calculate the mean, median, mode, and range for each set of numbers. Let's go through each set step by step.

---

1) 13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13

#### Mean:
The mean is the average of the numbers. It is calculated as:
\[
\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Total number of values}}
\]
- Sum of the numbers: \(13 + 6 + 24 + 18 + 33 + 5 + 13 + 48 + 9 + 11 + 36 + 28 + 15 + 6 + 13 = 300\)
- Total number of values: 15
\[
\text{Mean} = \frac{300}{15} = 20
\]

#### Median:
The median is the middle value when the numbers are arranged in ascending order.
- Arranged in ascending order: \(5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48\)
- Since there are 15 numbers (odd), the median is the 8th number.
\[
\text{Median} = 13
\]

#### Mode:
The mode is the number that appears most frequently.
- From the ordered list: \(5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48\)
- The number 13 appears most frequently (3 times).
\[
\text{Mode} = 13
\]

#### Range:
The range is the difference between the largest and smallest numbers.
- Largest number: 48
- Smallest number: 5
\[
\text{Range} = 48 - 5 = 43
\]

#### Final Answer for Set 1:
\[
\boxed{20, 13, 13, 43}
\]

---

2) 34, 16, 41, 20, 56, 81, 62, 74, 62, 12, 22, 50

#### Mean:
- Sum of the numbers: \(34 + 16 + 41 + 20 + 56 + 81 + 62 + 74 + 62 + 12 + 22 + 50 = 530\)
- Total number of values: 12
\[
\text{Mean} = \frac{530}{12} \approx 44.17
\]

#### Median:
- Arranged in ascending order: \(12, 16, 20, 22, 34, 41, 50, 56, 62, 62, 74, 81\)
- Since there are 12 numbers (even), the median is the average of the 6th and 7th numbers.
\[
\text{Median} = \frac{41 + 50}{2} = \frac{91}{2} = 45.5
\]

#### Mode:
- From the ordered list: \(12, 16, 20, 22, 34, 41, 50, 56, 62, 62, 74, 81\)
- The number 62 appears most frequently (2 times).
\[
\text{Mode} = 62
\]

#### Range:
- Largest number: 81
- Smallest number: 12
\[
\text{Range} = 81 - 12 = 69
\]

#### Final Answer for Set 2:
\[
\boxed{44.17, 45.5, 62, 69}
\]

---

3) 52, 10, 45, 23, 68, 84, 23, 52, 36, 23, 52, 71, 92, 42

#### Mean:
- Sum of the numbers: \(52 + 10 + 45 + 23 + 68 + 84 + 23 + 52 + 36 + 23 + 52 + 71 + 92 + 42 = 717\)
- Total number of values: 14
\[
\text{Mean} = \frac{717}{14} \approx 51.21
\]

#### Median:
- Arranged in ascending order: \(10, 23, 23, 23, 36, 42, 45, 52, 52, 52, 68, 71, 84, 92\)
- Since there are 14 numbers (even), the median is the average of the 7th and 8th numbers.
\[
\text{Median} = \frac{45 + 52}{2} = \frac{97}{2} = 48.5
\]

#### Mode:
- From the ordered list: \(10, 23, 23, 23, 36, 42, 45, 52, 52, 52, 68, 71, 84, 92\)
- The numbers 23 and 52 both appear most frequently (3 times each).
\[
\text{Mode} = 23, 52
\]

#### Range:
- Largest number: 92
- Smallest number: 10
\[
\text{Range} = 92 - 10 = 82
\]

#### Final Answer for Set 3:
\[
\boxed{51.21, 48.5, 23, 52, 82}
\]

---

4) 98, 64, 75, 57, 86, 60, 91, 98, 79

#### Mean:
- Sum of the numbers: \(98 + 64 + 75 + 57 + 86 + 60 + 91 + 98 + 79 = 718\)
- Total number of values: 9
\[
\text{Mean} = \frac{718}{9} \approx 79.78
\]

#### Median:
- Arranged in ascending order: \(57, 60, 64, 75, 79, 86, 91, 98, 98\)
- Since there are 9 numbers (odd), the median is the 5th number.
\[
\text{Median} = 79
\]

#### Mode:
- From the ordered list: \(57, 60, 64, 75, 79, 86, 91, 98, 98\)
- The number 98 appears most frequently (2 times).
\[
\text{Mode} = 98
\]

#### Range:
- Largest number: 98
- Smallest number: 57
\[
\text{Range} = 98 - 57 = 41
\]

#### Final Answer for Set 4:
\[
\boxed{79.78, 79, 98, 41}
\]

---

5) 25, 85, 40, 63, 29, 85, 44, 32, 15, 69, 73, 18, 67

#### Mean:
- Sum of the numbers: \(25 + 85 + 40 + 63 + 29 + 85 + 44 + 32 + 15 + 69 + 73 + 18 + 67 = 708\)
- Total number of values: 13
\[
\text{Mean} = \frac{708}{13} \approx 54.46
\]

#### Median:
- Arranged in ascending order: \(15, 18, 25, 29, 32, 40, 44, 63, 67, 69, 73, 85, 85\)
- Since there are 13 numbers (odd), the median is the 7th number.
\[
\text{Median} = 44
\]

#### Mode:
- From the ordered list: \(15, 18, 25, 29, 32, 40, 44, 63, 67, 69, 73, 85, 85\)
- The number 85 appears most frequently (2 times).
\[
\text{Mode} = 85
\]

#### Range:
- Largest number: 85
- Smallest number: 15
\[
\text{Range} = 85 - 15 = 70
\]

#### Final Answer for Set 5:
\[
\boxed{54.46, 44, 85, 70}
\]

---

6) 61, 21, 80, 46, 37, 70, 59, 65, 46, 39

#### Mean:
- Sum of the numbers: \(61 + 21 + 80 + 46 + 37 + 70 + 59 + 65 + 46 + 39 = 524\)
- Total number of values: 10
\[
\text{Mean} = \frac{524}{10} = 52.4
\]

#### Median:
- Arranged in ascending order: \(21, 37, 39, 46, 46, 59, 61, 65, 70, 80\)
- Since there are 10 numbers (even), the median is the average of the 5th and 6th numbers.
\[
\text{Median} = \frac{46 + 59}{2} = \frac{105}{2} = 52.5
\]

#### Mode:
- From the ordered list: \(21, 37, 39, 46, 46, 59, 61, 65, 70, 80\)
- The number 46 appears most frequently (2 times).
\[
\text{Mode} = 46
\]

#### Range:
- Largest number: 80
- Smallest number: 21
\[
\text{Range} = 80 - 21 = 59
\]

#### Final Answer for Set 6:
\[
\boxed{52.4, 52.5, 46, 59}
\]

---

Final Answers for All Sets:

1. \(\boxed{20, 13, 13, 43}\)
2. \(\boxed{44.17, 45.5, 62, 69}\)
3. \(\boxed{51.21, 48.5, 23, 52, 82}\)
4. \(\boxed{79.78, 79, 98, 41}\)
5. \(\boxed{54.46, 44, 85, 70}\)
6. \(\boxed{52.4, 52.5, 46, 59}\)