Mean, Median, Mode, and Range exercise - Free Printable

Let’s solve each problem step by step. We’ll find the mean, median, mode, and range for each set of numbers.

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Problem 1: {3, 5, 7, 8, 8}

- Mean: Add all numbers → 3 + 5 + 7 + 8 + 8 = 31. Divide by count (5) → 31 ÷ 5 = 6.2
- Median: Middle number when ordered → already ordered: 3, 5, 7, 8, 8 → 7
- Mode: Most common number → 8 appears twice, others once → 8
- Range: Biggest – smallest → 8 – 3 = 5

✔ Check: All correct.

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Problem 2: {4, 4, 4, 5, 6}

- Mean: 4+4+4+5+6 = 23 → 23 ÷ 5 = 4.6
- Median: Ordered: 4, 4, 4, 5, 6 → 4
- Mode: 4 appears three times → 4
- Range: 6 – 4 = 2

✔ Check: Correct.

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Problem 3: {2, 4, 4, 7, 8}

- Mean: 2+4+4+7+8 = 25 → 25 ÷ 5 = 5
- Median: Ordered: 2, 4, 4, 7, 8 → 4
- Mode: 4 appears twice → 4
- Range: 8 – 2 = 6

✔ Check: Correct.

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Problem 4: {2, 3, 4, 4, 9}

- Mean: 2+3+4+4+9 = 22 → 22 ÷ 5 = 4.4
- Median: Ordered: 2, 3, 4, 4, 9 → 4
- Mode: 4 appears twice → 4
- Range: 9 – 2 = 7

✔ Check: Correct.

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Problem 5: {2, 3, 3, 6, 8}

- Mean: 2+3+3+6+8 = 22 → 22 ÷ 5 = 4.4
- Median: Ordered: 2, 3, 3, 6, 8 → 3
- Mode: 3 appears twice → 3
- Range: 8 – 2 = 6

✔ Check: Correct.

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Problem 6: {6, 6, 6, 6, 8}

- Mean: 6+6+6+6+8 = 32 → 32 ÷ 5 = 6.4
- Median: Ordered: 6, 6, 6, 6, 8 → 6
- Mode: 6 appears four times → 6
- Range: 8 – 6 = 2

✔ Check: Correct.

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Problem 7: {4, 4, 4, 8, 8}

- Mean: 4+4+4+8+8 = 28 → 28 ÷ 5 = 5.6
- Median: Ordered: 4, 4, 4, 8, 8 → 4
- Mode: 4 appears three times → 4
- Range: 8 – 4 = 4

✔ Check: Correct.

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Problem 8: {1, 4, 9, 9, 10}

- Mean: 1+4+9+9+10 = 33 → 33 ÷ 5 = 6.6
- Median: Ordered: 1, 4, 9, 9, 10 → 9
- Mode: 9 appears twice → 9
- Range: 10 – 1 = 9

✔ Check: Correct.

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Final Answer:

1. Mean = 6.2, Median = 7, Mode = 8, Range = 5
2. Mean = 4.6, Median = 4, Mode = 4, Range = 2
3. Mean = 5, Median = 4, Mode = 4, Range = 6
4. Mean = 4.4, Median = 4, Mode = 4, Range = 7
5. Mean = 4.4, Median = 3, Mode = 3, Range = 6
6. Mean = 6.4, Median = 6, Mode = 6, Range = 2
7. Mean = 5.6, Median = 4, Mode = 4, Range = 4
8. Mean = 6.6, Median = 9, Mode = 9, Range = 9