Median Worksheets - Free Printable

To find the median of a set of data points, follow these steps:

1. Order the data: Arrange the numbers from smallest to largest.
2. Find the middle number:
- If there is an odd number of data points, the median is the middle number.
- If there is an even number of data points, the median is the average of the two middle numbers.

Let's solve each problem step by step:

Problem 1: {-5, 2, -2, 3}

1. Order: {-5, -2, 2, 3}
2. Even number of data points: (-2 + 2) ÷ 2 = 0
3. Median: 0

Problem 2: {0.3, 0.08, 0.2, 0.26}

1. Order: {0.08, 0.2, 0.26, 0.3}
2. Even number of data points: (0.2 + 0.26) ÷ 2 = 0.23
3. Median: 0.23

Problem 3: {-2, -5, 4, 0, -3, 1}

1. Order: {-5, -3, -2, 0, 1, 4}
2. Even number of data points: (-2 + 0) ÷ 2 = -1
3. Median: -1

Problem 4: {0.24, 0.18, 0.3, 0.75}

1. Order: {0.18, 0.24, 0.3, 0.75}
2. Even number of data points: (0.24 + 0.3) ÷ 2 = 0.27
3. Median: 0.27

Problem 5: {-2 ½, 6, -3, -5 ½, 0}

1. Order: {-5 ½, -3, -2 ½, 0, 6}
2. Odd number of data points: -2 ½
3. Median: -2 ½

Problem 6: {2.2, -3.4, 0, -1.6}

1. Order: {-3.4, -1.6, 0, 2.2}
2. Even number of data points: (-1.6 + 0) ÷ 2 = -0.8
3. Median: -0.8

Problem 7: {-4.8, -2.5, 3.3, -2, 0.4}

1. Order: {-4.8, -2.5, -2, 0.4, 3.3}
2. Odd number of data points: -2
3. Median: -2

Problem 8: {1 ½, -5 ¼, -¾, ½, 2 ¾}

1. Order: {-5 ¼, -¾, ½, 1 ½, 2 ¾}
2. Odd number of data points: ½
3. Median: ½

Problem 9: {-½, 1 ¼, 2 ½, -2 ¾, ¼, 0}

1. Order: {-2 ¾, -½, ¼, 0, 1 ¼, 2 ½}
2. Even number of data points: (¼ + 0) ÷ 2 = 0.125
3. Median: 0.125

Problem 10: {0.52, 0.03, 0.16, 0.7, 0.36, 0.4}

1. Order: {0.03, 0.16, 0.36, 0.4, 0.52, 0.7}
2. Even number of data points: (0.36 + 0.4) ÷ 2 = 0.38
3. Median: 0.38

Problem 11: {-4, -7, 0, -9, -6, 0, 5, -2}

1. Order: {-9, -7, -6, -4, -2, 0, 0, 5}
2. Even number of data points: (-4 + -2) ÷ 2 = -3
3. Median: -3

Problem 12: {0.6, -1.3, -2.1, 0.8, 1, 1.4, -2.5}

1. Order: {-2.5, -2.1, -1.3, 0.6, 0.8, 1, 1.4}
2. Odd number of data points: 0.6
3. Median: 0.6

Problem 13: {4 ½, -1, 0, 1 ¾, -2, -3 ½}

1. Order: {-3 ½, -2, -1, 0, 1 ¾, 4 ½}
2. Even number of data points: (-1 + 0) ÷ 2 = -0.5
3. Median: -0.5

Problem 14: {0.8, -2.2, -0.7, 3.1, 2.3, -1.5, 0}

1. Order: {-2.2, -1.5, -0.7, 0, 0.8, 2.3, 3.1}
2. Odd number of data points: 0
3. Median: 0

Problem 15: {-4.2, -1.8, 0.9, -0.6, -6, -3}

1. Order: {-6, -4.2, -3, -1.8, -0.6, 0.9}
2. Even number of data points: (-3 + -1.8) ÷ 2 = -2.4
3. Median: -2.4

Problem 16: {-2 ½, -4 ¾, 5, -5 ½, 3 ¼, -1, ¾}

1. Order: {-5 ½, -4 ¾, -2 ½, -1, ¾, 3 ¼, 5}
2. Odd number of data points: -1
3. Median: -1

Final Answer:
1. 0
2. 0.23
3. -1
4. 0.27
5. -2 ½
6. -0.8
7. -2
8. ½
9. 0.125
10. 0.38
11. -3
12. 0.6
13. -0.5
14. 0
15. -2.4
16. -1