Math worksheet for practicing mean, median, mode, and range calculations.

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.

---

Set 1: 12, 15, 19, 97, 46, 88

#### Mean
The mean is the average of the numbers.
\[
\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Number of values}}
\]
\[
\text{Sum} = 12 + 15 + 19 + 97 + 46 + 88 = 277
\]
\[
\text{Number of values} = 6
\]
\[
\text{Mean} = \frac{277}{6} \approx 46.17
\]

#### Median
The median is the middle value when the numbers are arranged in ascending order.
\[
\text{Ascending order: } 12, 15, 19, 46, 88, 97
\]
Since there are 6 numbers (an even count), the median is the average of the 3rd and 4th numbers:
\[
\text{Median} = \frac{19 + 46}{2} = \frac{65}{2} = 32.5
\]

#### Mode
The mode is the number that appears most frequently. In this set, all numbers appear once, so there is no mode.
\[
\text{Mode} = \text{None}
\]

#### Range
The range is the difference between the largest and smallest numbers.
\[
\text{Largest number} = 97
\]
\[
\text{Smallest number} = 12
\]
\[
\text{Range} = 97 - 12 = 85
\]

#### Final Answers for Set 1
\[
\text{Mean: } 46.17, \quad \text{Median: } 32.5, \quad \text{Mode: } \text{None}, \quad \text{Range: } 85
\]

---

Set 2: 33, 76, 37, 92, 88

#### Mean
\[
\text{Sum} = 33 + 76 + 37 + 92 + 88 = 326
\]
\[
\text{Number of values} = 5
\]
\[
\text{Mean} = \frac{326}{5} = 65.2
\]

#### Median
\[
\text{Ascending order: } 33, 37, 76, 88, 92
\]
The median is the middle value (3rd number):
\[
\text{Median} = 76
\]

#### Mode
All numbers appear once, so there is no mode.
\[
\text{Mode} = \text{None}
\]

#### Range
\[
\text{Largest number} = 92
\]
\[
\text{Smallest number} = 33
\]
\[
\text{Range} = 92 - 33 = 59
\]

#### Final Answers for Set 2
\[
\text{Mean: } 65.2, \quad \text{Median: } 76, \quad \text{Mode: } \text{None}, \quad \text{Range: } 59
\]

---

Set 3: 4, 12, 4, 77, 4, 4

#### Mean
\[
\text{Sum} = 4 + 12 + 4 + 77 + 4 + 4 = 105
\]
\[
\text{Number of values} = 6
\]
\[
\text{Mean} = \frac{105}{6} = 17.5
\]

#### Median
\[
\text{Ascending order: } 4, 4, 4, 4, 12, 77
\]
The median is the average of the 3rd and 4th numbers:
\[
\text{Median} = \frac{4 + 4}{2} = 4
\]

#### Mode
The mode is the number that appears most frequently. Here, 4 appears 4 times.
\[
\text{Mode} = 4
\]

#### Range
\[
\text{Largest number} = 77
\]
\[
\text{Smallest number} = 4
\]
\[
\text{Range} = 77 - 4 = 73
\]

#### Final Answers for Set 3
\[
\text{Mean: } 17.5, \quad \text{Median: } 4, \quad \text{Mode: } 4, \quad \text{Range: } 73
\]

---

Set 4: 102, 11, 46, 11

#### Mean
\[
\text{Sum} = 102 + 11 + 46 + 11 = 170
\]
\[
\text{Number of values} = 4
\]
\[
\text{Mean} = \frac{170}{4} = 42.5
\]

#### Median
\[
\text{Ascending order: } 11, 11, 46, 102
\]
The median is the average of the 2nd and 3rd numbers:
\[
\text{Median} = \frac{11 + 46}{2} = \frac{57}{2} = 28.5
\]

#### Mode
The mode is the number that appears most frequently. Here, 11 appears twice.
\[
\text{Mode} = 11
\]

#### Range
\[
\text{Largest number} = 102
\]
\[
\text{Smallest number} = 11
\]
\[
\text{Range} = 102 - 11 = 91
\]

#### Final Answers for Set 4
\[
\text{Mean: } 42.5, \quad \text{Median: } 28.5, \quad \text{Mode: } 11, \quad \text{Range: } 91
\]

---

Continuing with Sets 5–12

Following the same steps for each set, here are the final answers:

---

Set 5: 65, 65, 21, 65, 22

\[
\text{Mean: } 47.8, \quad \text{Median: } 65, \quad \text{Mode: } 65, \quad \text{Range: } 44
\]

Set 6: 44, 85, 73, 34, 34, 34

\[
\text{Mean: } 51.5, \quad \text{Median: } 39, \quad \text{Mode: } 34, \quad \text{Range: } 51
\]

Set 7: 22, 22, 26

\[
\text{Mean: } 23.33, \quad \text{Median: } 22, \quad \text{Mode: } 22, \quad \text{Range: } 4
\]

Set 8: 12, 15, 89, 97, 46, 88

\[
\text{Mean: } 57.83, \quad \text{Median: } 46, \quad \text{Mode: } \text{None}, \quad \text{Range: } 85
\]

Set 9: 33, 45, 61, 61, 43, 14

\[
\text{Mean: } 43.67, \quad \text{Median: } 44, \quad \text{Mode: } 61, \quad \text{Range: } 47
\]

Set 10: 32, 32, 32, 37, 39, 48

\[
\text{Mean: } 36.5, \quad \text{Median: } 34.5, \quad \text{Mode: } 32, \quad \text{Range: } 16
\]

Set 11: 15, 18, 16, 18, 19, 22

\[
\text{Mean: } 18, \quad \text{Median: } 18, \quad \text{Mode: } 18, \quad \text{Range: } 7
\]

Set 12: 23, 24, 29, 14, 16, 64

\[
\text{Mean: } 30.5, \quad \text{Median: } 23.5, \quad \text{Mode: } \text{None}, \quad \text{Range: } 50
\]

---

Final Answer

\[
\boxed{
\begin{array}{l}
\text{Set 1: Mean: } 46.17, \text{ Median: } 32.5, \text{ Mode: None}, \text{ Range: } 85 \\
\text{Set 2: Mean: } 65.2, \text{ Median: } 76, \text{ Mode: None}, \text{ Range: } 59 \\
\text{Set 3: Mean: } 17.5, \text{ Median: } 4, \text{ Mode: } 4, \text{ Range: } 73 \\
\text{Set 4: Mean: } 42.5, \text{ Median: } 28.5, \text{ Mode: } 11, \text{ Range: } 91 \\
\text{Set 5: Mean: } 47.8, \text{ Median: } 65, \text{ Mode: } 65, \text{ Range: } 44 \\
\text{Set 6: Mean: } 51.5, \text{ Median: } 39, \text{ Mode: } 34, \text{ Range: } 51 \\
\text{Set 7: Mean: } 23.33, \text{ Median: } 22, \text{ Mode: } 22, \text{ Range: } 4 \\
\text{Set 8: Mean: } 57.83, \text{ Median: } 46, \text{ Mode: None}, \text{ Range: } 85 \\
\text{Set 9: Mean: } 43.67, \text{ Median: } 44, \text{ Mode: } 61, \text{ Range: } 47 \\
\text{Set 10: Mean: } 36.5, \text{ Median: } 34.5, \text{ Mode: } 32, \text{ Range: } 16 \\
\text{Set 11: Mean: } 18, \text{ Median: } 18, \text{ Mode: } 18, \text{ Range: } 7 \\
\text{Set 12: Mean: } 30.5, \text{ Median: } 23.5, \text{ Mode: None}, \text{ Range: } 50 \\
\end{array}
}
\]