Let's solve each part of the worksheet step by step. We'll find the
mean,
median, and
mode for each set of numbers.
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🔹 Definitions:
-
Mean: The average. Add all numbers and divide by the count.
-
Median: The middle number when the numbers are ordered. If even count, average the two middle numbers.
-
Mode: The number that appears most frequently. If no repeats, there is
no mode.
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✔ a. 4, 4, 3, 9, 5
Step 1: Order the numbers
3, 4, 4, 5, 9
Mean:
(3 + 4 + 4 + 5 + 9) / 5 = 25 / 5 =
5
Median:
Middle number (3rd in ordered list) =
4
Mode:
4 appears twice →
4
✔ Answer:
- Mean:
5
- Median:
4
- Mode:
4
---
✔ b. 8, 4, 5, 8, 5, 4, 8
Step 1: Order the numbers
4, 4, 5, 5, 8, 8, 8
Mean:
(4 + 4 + 5 + 5 + 8 + 8 + 8) / 7 = 42 / 7 =
6
Median:
Middle number (4th) =
5
Mode:
8 appears 3 times →
8
✔ Answer:
- Mean:
6
- Median:
5
- Mode:
8
---
✔ c. 10, 13, 11, 12, 13
Step 1: Order the numbers
10, 11, 12, 13, 13
Mean:
(10 + 11 + 12 + 13 + 13) / 5 = 60 / 5 =
12
Median:
Middle number (3rd) =
12
Mode:
13 appears twice →
13
✔ Answer:
- Mean:
12
- Median:
12
- Mode:
13
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✔ d. 5, 12, 13, 16, 12, 14, 12, 5, 10
Step 1: Order the numbers
5, 5, 10, 12, 12, 12, 13, 14, 16
Mean:
(5 + 5 + 10 + 12 + 12 + 12 + 13 + 14 + 16) / 9 = 100 / 9 ≈
11.11
Median:
Middle number (5th) =
12
Mode:
12 appears 3 times →
12
✔ Answer:
- Mean:
11.11 (or 100/9)
- Median:
12
- Mode:
12
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✔ e. 15, 18, 19, 20, 22, 24, 22
Step 1: Order the numbers
15, 18, 19, 20, 22, 22, 24
Mean:
(15 + 18 + 19 + 20 + 22 + 22 + 24) / 7 = 140 / 7 =
20
Median:
Middle number (4th) =
20
Mode:
22 appears twice →
22
✔ Answer:
- Mean:
20
- Median:
20
- Mode:
22
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✔ f. 42, 34, 36, 24, 34
Step 1: Order the numbers
24, 34, 34, 36, 42
Mean:
(24 + 34 + 34 + 36 + 42) / 5 = 170 / 5 =
34
Median:
Middle number (3rd) =
34
Mode:
34 appears twice →
34
✔ Answer:
- Mean:
34
- Median:
34
- Mode:
34
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📊 Final Answers Table:
| Given | Mean | Median | Mode |
|------|------|--------|------|
| a. 4, 4, 3, 9, 5 | 5 | 4 | 4 |
| b. 8, 4, 5, 8, 5, 4, 8 | 6 | 5 | 8 |
| c. 10, 13, 11, 12, 13 | 12 | 12 | 13 |
| d. 5, 12, 13, 16, 12, 14, 12, 5, 10 | 11.11 | 12 | 12 |
| e. 15, 18, 19, 20, 22, 24, 22 | 20 | 20 | 22 |
| f. 42, 34, 36, 24, 34 | 34 | 34 | 34 |
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✔ All problems solved! Let me know if you'd like this as a printable PDF or need help with another worksheet.
Parent Tip: Review the logic above to help your child master the concept of average worksheet.
