Let's solve each part of the worksheet step by step. We'll find the
mean,
median,
mode, and
range for each set of numbers.
---
🔹 Definitions:
-
Mean: The average. Add all numbers and divide by how many there are.
-
Median: The middle number when the numbers are ordered from least to greatest.
-
Mode: The number that appears most frequently. If no number repeats, there is
no mode.
-
Range: The difference between the largest and smallest numbers.
---
✔ Problem a: 3, 4, 9, 7, 7
Step 1: Order the numbers
→ 3, 4, 7, 7, 9
Mean = (3 + 4 + 9 + 7 + 7) ÷ 5 =
30 ÷ 5 = 6
Median = Middle number → 7
Mode = Most frequent → 7 appears twice →
7
Range = Largest – Smallest = 9 – 3 =
6
✔ a.
- Mean:
6
- Median:
7
- Mode:
7
- Range:
6
---
✔ Problem b: 15, 3, 3
Order: 3, 3, 15
Mean = (15 + 3 + 3) ÷ 3 =
21 ÷ 3 = 7
Median = Middle number →
3
Mode = 3 appears twice →
3
Range = 15 – 3 =
12
✔ b.
- Mean:
7
- Median:
3
- Mode:
3
- Range:
12
---
✔ Problem c: 3, 0, 0, 2, 0
Order: 0, 0, 0, 2, 3
Mean = (3 + 0 + 0 + 2 + 0) ÷ 5 =
5 ÷ 5 = 1
Median = Middle number →
0
Mode = 0 appears three times →
0
Range = 3 – 0 =
3
✔ c.
- Mean:
1
- Median:
0
- Mode:
0
- Range:
3
---
✔ Problem d: 5, 6, 5, 2, 4, 5, 1
Order: 1, 2, 4, 5, 5, 5, 6
Mean = (5 + 6 + 5 + 2 + 4 + 5 + 1) ÷ 7 =
28 ÷ 7 = 4
Median = Middle number → 5th number =
5
Mode = 5 appears three times →
5
Range = 6 – 1 =
5
✔ d.
- Mean:
4
- Median:
5
- Mode:
5
- Range:
5
---
✔ Problem e: 10, 6, 8, 10, 1
Order: 1, 6, 8, 10, 10
Mean = (10 + 6 + 8 + 10 + 1) ÷ 5 =
35 ÷ 5 = 7
Median = Middle number →
8
Mode = 10 appears twice →
10
Range = 10 – 1 =
9
✔ e.
- Mean:
7
- Median:
8
- Mode:
10
- Range:
9
---
✔ Problem f: 4, 6, 2, 4, 9, 5, 5
Order: 2, 4, 4, 5, 5, 6, 9
Mean = (4 + 6 + 2 + 4 + 9 + 5 + 5) ÷ 7 =
31 ÷ 7 ≈ 4.43
(We can leave it as a fraction: 31/7 or decimal ≈ 4.43)
Median = Middle number → 4th number =
5
Mode = 4 and 5 both appear twice →
Bimodal: 4 and 5
Range = 9 – 2 =
7
✔ f.
- Mean:
31/7 or
≈ 4.43
- Median:
5
- Mode:
4 and 5 (or "4, 5")
- Range:
7
---
📝 Final Answers:
| Set | Mean | Median | Mode | Range |
|-----|----------|--------|------------|-------|
| a | 6 | 7 | 7 | 6 |
| b | 7 | 3 | 3 | 12 |
| c | 1 | 0 | 0 | 3 |
| d | 4 | 5 | 5 | 5 |
| e | 7 | 8 | 10 | 9 |
| f | 31/7 ≈ 4.43 | 5 | 4 and 5 | 7 |
---
Let me know if you'd like this formatted for printing or need help understanding any step!
Parent Tip: Review the logic above to help your child master the concept of mean median mode range worksheet 7th grade.
