Practice worksheet for calculating mean, median, and mode with answer table.

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(s). If no repeats, "No mode".

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✔ Problem 1: 75, 80, 86, 88, 72, 80

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

Mean = (72 + 75 + 80 + 80 + 86 + 88) / 6
= 481 / 6 ≈ 80.17

Median = Average of 3rd and 4th values = (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

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

Mean = (83 + 84 + 84 + 85 + 93 + 96 + 98) / 7
= 633 / 7 ≈ 90.43

Median = 4th value = 85

Mode = 84 (appears twice) → 84

✔ Answer 2: Mean = 90.43, Median = 85, Mode = 84

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

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

Mean = (42 + 43 + 43 + 43 + 45 + 50 + 51 + 52) / 8
= 379 / 8 = 47.375

Median = Average of 4th and 5th = (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

Sort: 32, 34, 41, 49, 49

Mean = (32 + 34 + 41 + 49 + 49) / 5 = 205 / 5 = 41

Median = 3rd value = 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

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

Mean = (65+65+67+69+77+78+79+83) / 8 = 573 / 8 = 71.625

Median = Average of 4th and 5th = (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

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

Mean = (78+90+93+96+97+97+100) / 7 = 651 / 7 = 93

Median = 4th value = 96

Mode = 97 (appears twice) → 97

✔ Answer 6: Mean = 93, Median = 96, Mode = 97

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✔ Problem 7: 52, 63, 55, 72, 70, 63

Sort: 52, 55, 63, 63, 70, 72

Mean = (52+55+63+63+70+72) / 6 = 415 / 6 ≈ 69.17

Median = Average of 3rd and 4th = (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

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

Mean = (68+68+72+76+81+85+89) / 7 = 549 / 7 ≈ 78.43

Median = 4th value = 76

Mode = 68 (appears twice) → 68

✔ Answer 8: Mean = 78.43, Median = 76, Mode = 68

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

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

Mean = (52+59+60+62+66+66+67+69) / 8 = 501 / 8 = 62.625

Median = Average of 4th and 5th = (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

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

Mean = (21+24+26+27+30+35+36+40+40) / 9 = 289 / 9 ≈ 31.00

Median = 5th value = 30

Mode = 40 (appears twice) → 40

✔ Answer 10: Mean = 31.00, Median = 30, Mode = 40

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✔ Final Answer Table:

| # | Mean | Median | Mode |
|---|----------|--------|------|
| 1 | 80.17 | 80 | 80 |
| 2 | 90.43 | 85 | 84 |
| 3 | 47.38 | 44 | 43 |
| 4 | 41 | 41 | 49 |
| 5 | 71.63 | 73 | 65 |
| 6 | 93 | 96 | 97 |
| 7 | 69.17 | 63 | 63 |
| 8 | 78.43 | 76 | 68 |
| 9 | 62.63 | 64 | 66 |
|10 | 31.00 | 30 | 40 |

> Note: Mean values rounded to two decimal places where needed.

Let me know if you'd like this in a printable format or need explanations for any specific one!