Mean, median and mode worksheet - Free Printable

Let's solve each problem step by step to find the Mean, Median, and Mode for each set of numbers.

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🔹 Definitions:

- Mean: Sum of all numbers ÷ number of values.
- Median: Middle value when numbers are ordered. If even count, average of two middle values.
- Mode: Most frequent value (can be more than one or none).

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✔ Problem 1: 75, 80, 86, 88, 72, 80

Step 1: Order the data:
72, 75, 80, 80, 86, 88

Mean:
Sum = 72 + 75 + 80 + 80 + 86 + 88 = 481
Count = 6
Mean = 481 ÷ 6 ≈ 80.17

Median:
Middle two values: 80 and 80 → Median = (80 + 80) ÷ 2 = 80

Mode:
80 appears twice → 80

✔ Answer 1: Mean = 80.17, Median = 80, Mode = 80

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✔ Problem 2: 98, 85, 84, 83, 96, 93, 84

Order: 83, 84, 84, 85, 93, 96, 98

Mean:
Sum = 83 + 84 + 84 + 85 + 93 + 96 + 98 = 613
Count = 7
Mean = 613 ÷ 7 ≈ 87.57

Median:
Middle value (4th) = 85

Mode:
84 appears twice → 84

✔ Answer 2: Mean = 87.57, Median = 85, Mode = 84

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✔ Problem 3: 45, 51, 50, 43, 42, 43, 43, 52

Order: 42, 43, 43, 43, 45, 50, 51, 52

Mean:
Sum = 42 + 43 + 43 + 43 + 45 + 50 + 51 + 52 = 379
Count = 8
Mean = 379 ÷ 8 = 47.375

Median:
Middle two: 43 and 45 → (43 + 45)/2 = 44

Mode:
43 appears 3 times → 43

✔ Answer 3: Mean = 47.38, Median = 44, Mode = 43

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✔ Problem 4: 49, 49, 34, 32, 41

Order: 32, 34, 41, 49, 49

Mean:
Sum = 32 + 34 + 41 + 49 + 49 = 205
Count = 5
Mean = 205 ÷ 5 = 41

Median:
Middle value (3rd) = 41

Mode:
49 appears twice → 49

✔ Answer 4: Mean = 41, Median = 41, Mode = 49

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✔ Problem 5: 77, 79, 67, 78, 69, 65, 65, 83

Order: 65, 65, 67, 69, 77, 78, 79, 83

Mean:
Sum = 65 + 65 + 67 + 69 + 77 + 78 + 79 + 83 = 573
Count = 8
Mean = 573 ÷ 8 = 71.625

Median:
Middle two: 69 and 77 → (69 + 77)/2 = 73

Mode:
65 appears twice → 65

✔ Answer 5: Mean = 71.63, Median = 73, Mode = 65

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✔ Problem 6: 100, 78, 97, 97, 96, 90, 93

Order: 78, 90, 93, 96, 97, 97, 100

Mean:
Sum = 78 + 90 + 93 + 96 + 97 + 97 + 100 = 651
Count = 7
Mean = 651 ÷ 7 ≈ 93.00

Median:
Middle value (4th) = 96

Mode:
97 appears twice → 97

✔ Answer 6: Mean = 93.00, Median = 96, Mode = 97

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✔ Problem 7: 52, 63, 55, 72, 70, 63

Order: 52, 55, 63, 63, 70, 72

Mean:
Sum = 52 + 55 + 63 + 63 + 70 + 72 = 415
Count = 6
Mean = 415 ÷ 6 ≈ 69.17

Median:
Middle two: 63 and 63 → (63 + 63)/2 = 63

Mode:
63 appears twice → 63

✔ Answer 7: Mean = 69.17, Median = 63, Mode = 63

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✔ Problem 8: 89, 72, 68, 76, 68, 85, 81

Order: 68, 68, 72, 76, 81, 85, 89

Mean:
Sum = 68 + 68 + 72 + 76 + 81 + 85 + 89 = 539
Count = 7
Mean = 539 ÷ 7 = 77

Median:
Middle value (4th) = 76

Mode:
68 appears twice → 68

✔ Answer 8: Mean = 77, Median = 76, Mode = 68

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✔ Problem 9: 52, 62, 69, 60, 67, 66, 59, 66

Order: 52, 59, 60, 62, 66, 66, 67, 69

Mean:
Sum = 52 + 59 + 60 + 62 + 66 + 66 + 67 + 69 = 501
Count = 8
Mean = 501 ÷ 8 = 62.625

Median:
Middle two: 62 and 66 → (62 + 66)/2 = 64

Mode:
66 appears twice → 66

✔ Answer 9: Mean = 62.63, Median = 64, Mode = 66

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✔ Problem 10: 40, 40, 35, 26, 30, 21, 27, 36, 24

Order: 21, 24, 26, 27, 30, 35, 36, 40, 40

Mean:
Sum = 21 + 24 + 26 + 27 + 30 + 35 + 36 + 40 + 40 = 289
Count = 9
Mean = 289 ÷ 9 ≈ 32.11

Median:
Middle value (5th) = 30

Mode:
40 appears twice → 40

✔ Answer 10: Mean = 32.11, Median = 30, Mode = 40

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📊 Final Answer Table:

| # | Mean | Median | Mode |
|---|------------|--------|------|
| 1 | 80.17 | 80 | 80 |
| 2 | 87.57 | 85 | 84 |
| 3 | 47.38 | 44 | 43 |
| 4 | 41 | 41 | 49 |
| 5 | 71.63 | 73 | 65 |
| 6 | 93.00 | 96 | 97 |
| 7 | 69.17 | 63 | 63 |
| 8 | 77 | 76 | 68 |
| 9 | 62.63 | 64 | 66 |
|10 | 32.11 | 30 | 40 |

> ⚠️ Note: All means are rounded to two decimal places unless exact.

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