Mean Median Mode Range Worksheets - Math Monks - Free Printable

To find the mean and median for each set of numbers, we need to follow these steps:

1. Mean: Add up all the numbers in the set and then divide by the count of numbers.
2. Median: Arrange the numbers in ascending order and find the middle number. If there is an even number of observations, the median is the average of the two middle numbers.

Let's solve each set step by step:

Set 1: 22, 2, 5, 12, 9

- Mean: (22 + 2 + 5 + 12 + 9) / 5 = 50 / 5 = 10
- Median: Arrange in order: 2, 5, 9, 12, 22. The middle number is 9.

Set 2: 4, 10, 12, 12, 15, 17, 23, 28

- Mean: (4 + 10 + 12 + 12 + 15 + 17 + 23 + 28) / 8 = 121 / 8 = 15.125
- Median: Arrange in order: 4, 10, 12, 12, 15, 17, 23, 28. The middle numbers are 12 and 15. Average: (12 + 15) / 2 = 13.5

Set 3: 19, 19, 27, 36, 64

- Mean: (19 + 19 + 27 + 36 + 64) / 5 = 165 / 5 = 33
- Median: Arrange in order: 19, 19, 27, 36, 64. The middle number is 27.

Set 4: 53, 44, 10, 45, 59, 97, 77

- Mean: (53 + 44 + 10 + 45 + 59 + 97 + 77) / 7 = 385 / 7 = 55
- Median: Arrange in order: 10, 44, 45, 53, 59, 77, 97. The middle number is 53.

Set 5: 8, 8, 12, 14, 8, 2, 1

- Mean: (8 + 8 + 12 + 14 + 8 + 2 + 1) / 7 = 53 / 7 ≈ 7.57
- Median: Arrange in order: 1, 2, 8, 8, 8, 12, 14. The middle number is 8.

Set 6: 2, 5, 3, 4, 8, 2, 5, 3, 30, 31, 2

- Mean: (2 + 5 + 3 + 4 + 8 + 2 + 5 + 3 + 30 + 31 + 2) / 11 = 95 / 11 ≈ 8.64
- Median: Arrange in order: 2, 2, 2, 3, 3, 4, 5, 5, 8, 30, 31. The middle number is 4.

Set 7: 17, 12, 15, 14, 12

- Mean: (17 + 12 + 15 + 14 + 12) / 5 = 70 / 5 = 14
- Median: Arrange in order: 12, 12, 14, 15, 17. The middle number is 14.

Set 8: 31, 92, 25, 69, 80, 31, 29

- Mean: (31 + 92 + 25 + 69 + 80 + 31 + 29) / 7 = 357 / 7 = 51
- Median: Arrange in order: 25, 29, 31, 31, 69, 80, 92. The middle number is 31.

Set 9: 48, 40, 53, 43, 52, 46

- Mean: (48 + 40 + 53 + 43 + 52 + 46) / 6 = 282 / 6 = 47
- Median: Arrange in order: 40, 43, 46, 48, 52, 53. The middle numbers are 46 and 48. Average: (46 + 48) / 2 = 47

Set 10: 36, 45, 52, 40, 38, 41, 50, 48

- Mean: (36 + 45 + 52 + 40 + 38 + 41 + 50 + 48) / 8 = 350 / 8 = 43.75
- Median: Arrange in order: 36, 38, 40, 41, 45, 48, 50, 52. The middle numbers are 41 and 45. Average: (41 + 45) / 2 = 43

Set 11: 8, 9, 9, 8, 2, 3, 2, 3, 1

- Mean: (8 + 9 + 9 + 8 + 2 + 3 + 2 + 3 + 1) / 9 = 45 / 9 = 5
- Median: Arrange in order: 1, 2, 2, 3, 3, 8, 8, 9, 9. The middle number is 3.

Set 12: 116, 130, 120, 125, 140, 125

- Mean: (116 + 130 + 120 + 125 + 140 + 125) / 6 = 756 / 6 = 126
- Median: Arrange in order: 116, 120, 125, 125, 130, 140. The middle numbers are 125 and 125. Average: (125 + 125) / 2 = 125

Set 13: 18, 16, 20, 9, 7, 5, 12, 17

- Mean: (18 + 16 + 20 + 9 + 7 + 5 + 12 + 17) / 8 = 104 / 8 = 13
- Median: Arrange in order: 5, 7, 9, 12, 16, 17, 18, 20. The middle numbers are 12 and 16. Average: (12 + 16) / 2 = 14

Set 14: 61, 21, 80, 46, 37, 70, 59, 65, 46, 39

- Mean: (61 + 21 + 80 + 46 + 37 + 70 + 59 + 65 + 46 + 39) / 10 = 524 / 10 = 52.4
- Median: Arrange in order: 21, 37, 39, 46, 46, 59, 61, 65, 70, 80. The middle numbers are 46 and 59. Average: (46 + 59) / 2 = 52.5

Final Answer:
1. Mean: 10, Median: 9
2. Mean: 15.125, Median: 13.5
3. Mean: 33, Median: 27
4. Mean: 55, Median: 53
5. Mean: 7.57, Median: 8
6. Mean: 8.64, Median: 4
7. Mean: 14, Median: 14
8. Mean: 51, Median: 31
9. Mean: 47, Median: 47
10. Mean: 43.75, Median: 43
11. Mean: 5, Median: 3
12. Mean: 126, Median: 125
13. Mean: 13, Median: 14
14. Mean: 52.4, Median: 52.5