Median Math Worksheet - Find the middle number in each set of numbers.

To solve the problem of finding the median for each set of numbers, we need to follow these steps:

Steps to Find the Median:

1. Arrange the numbers in ascending order.
2. Determine the number of elements in the set:
- If the number of elements is odd, the median is the middle number.
- If the number of elements is even, the median is the average of the two middle numbers.

Solutions for Each Question:

#### Q1: 10, 24, 34, 80, 55
- Arrange in ascending order: 10, 24, 34, 55, 80
- Number of elements: 5 (odd)
- Median: The middle number is 34.
- Median = 34

#### Q2: 60, 50, 80, 20
- Arrange in ascending order: 20, 50, 60, 80
- Number of elements: 4 (even)
- Median: Average of the two middle numbers (50 and 60)
- Median = \(\frac{50 + 60}{2} = 55\)
- Median = 55

#### Q3: 0, 15, 16, 25, 10, 15
- Arrange in ascending order: 0, 10, 15, 15, 16, 25
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (15 and 15)
- Median = \(\frac{15 + 15}{2} = 15\)
- Median = 15

#### Q4: 5, 2, 2, 1, 5, 3
- Arrange in ascending order: 1, 2, 2, 3, 5, 5
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (2 and 3)
- Median = \(\frac{2 + 3}{2} = 2.5\)
- Median = 2.5

#### Q5: 2, 7, 3, 2, 1
- Arrange in ascending order: 1, 2, 2, 3, 7
- Number of elements: 5 (odd)
- Median: The middle number is 2.
- Median = 2

#### Q6: 5, 1, 1, 7, 9, 1
- Arrange in ascending order: 1, 1, 1, 5, 7, 9
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (1 and 5)
- Median = \(\frac{1 + 5}{2} = 3\)
- Median = 3

#### Q7: 1, 2, 3, 4, 5
- Arrange in ascending order: 1, 2, 3, 4, 5
- Number of elements: 5 (odd)
- Median: The middle number is 3.
- Median = 3

#### Q8: 2, 1, 5, 5, 7, 4
- Arrange in ascending order: 1, 2, 4, 5, 5, 7
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (4 and 5)
- Median = \(\frac{4 + 5}{2} = 4.5\)
- Median = 4.5

#### Q9: 3, 9, 9, 6, 1, 2
- Arrange in ascending order: 1, 2, 3, 6, 9, 9
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (3 and 6)
- Median = \(\frac{3 + 6}{2} = 4.5\)
- Median = 4.5

#### Q10: 10, 20, 4, 3, 14, 3
- Arrange in ascending order: 3, 3, 4, 10, 14, 20
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (4 and 10)
- Median = \(\frac{4 + 10}{2} = 7\)
- Median = 7

#### Q11: 12, 6, 5, 9, 9, 1
- Arrange in ascending order: 1, 5, 6, 9, 9, 12
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (6 and 9)
- Median = \(\frac{6 + 9}{2} = 7.5\)
- Median = 7.5

#### Q12: 11, 21, 5, 4, 15, 4
- Arrange in ascending order: 4, 4, 5, 11, 15, 21
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (5 and 11)
- Median = \(\frac{5 + 11}{2} = 8\)
- Median = 8

#### Q13: 8, 18, 2, 1, 12, 1
- Arrange in ascending order: 1, 1, 2, 8, 12, 18
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (2 and 8)
- Median = \(\frac{2 + 8}{2} = 5\)
- Median = 5

#### Q14: 9, 19, 3, 2, 13, 2
- Arrange in ascending order: 2, 2, 3, 9, 13, 19
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (3 and 9)
- Median = \(\frac{3 + 9}{2} = 6\)
- Median = 6

#### Q15: 37, 18, 25, 16, 18, 18
- Arrange in ascending order: 16, 18, 18, 18, 25, 37
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (18 and 18)
- Median = \(\frac{18 + 18}{2} = 18\)
- Median = 18

#### Q16: 39, 20, 27, 18, 20, 20
- Arrange in ascending order: 18, 20, 20, 20, 27, 39
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (20 and 20)
- Median = \(\frac{20 + 20}{2} = 20\)
- Median = 20

#### Q17: 4, 5, 6, 6, 7, 8
- Arrange in ascending order: 4, 5, 6, 6, 7, 8
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (6 and 6)
- Median = \(\frac{6 + 6}{2} = 6\)
- Median = 6

#### Q18: 5, 12, 13, 13, 14, 15
- Arrange in ascending order: 5, 12, 13, 13, 14, 15
- Number of elements: 6 (even)
- Median: Average of the two middle numbers (13 and 13)
- Median = \(\frac{13 + 13}{2} = 13\)
- Median = 13

Final Answers:

\[
\boxed{
\begin{array}{ll}
\text{Q1: } 34 & \text{Q10: } 7 \\
\text{Q2: } 55 & \text{Q11: } 7.5 \\
\text{Q3: } 15 & \text{Q12: } 8 \\
\text{Q4: } 2.5 & \text{Q13: } 5 \\
\text{Q5: } 2 & \text{Q14: } 6 \\
\text{Q6: } 3 & \text{Q15: } 18 \\
\text{Q7: } 3 & \text{Q16: } 20 \\
\text{Q8: } 4.5 & \text{Q17: } 6 \\
\text{Q9: } 4.5 & \text{Q18: } 13 \\
\end{array}
}
\]