Mean, Median, Mode and Range -- Unsorted Sets (Sets of 5 from 1 to - Free Printable

Let's solve each problem step by step. For each list of values, we need to find:

- Mean: The average of the numbers.
$$
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}
$$

- Median: The middle value when the numbers are arranged in order. If there’s an even number of values, it’s the average of the two middle numbers.

- Mode: The number that appears most frequently. If no number repeats, there is no mode.

- Range: The difference between the largest and smallest values.
$$
\text{Range} = \text{Maximum} - \text{Minimum}
$$

---

1. 6, 5, 11, 22, 4, 18, 21

Sorted: 4, 5, 6, 11, 18, 21, 22
- Mean: (4 + 5 + 6 + 11 + 18 + 21 + 22) / 7 = 87 / 7 ≈ 12.43
- Median: Middle value (4th) = 11
- Mode: All numbers appear once → No mode
- Range: 22 - 4 = 18

✔ Answer: Mean: 12.43, Median: 11, Mode: No mode, Range: 18

---

2. 4, 1, 5, 9, 2, 2, 9

Sorted: 1, 2, 2, 4, 5, 9, 9
- Mean: (1+2+2+4+5+9+9)/7 = 32/7 ≈ 4.57
- Median: Middle value (4th) = 4
- Mode: 2 and 9 both appear twice → Bimodal: 2 and 9
- Range: 9 - 1 = 8

✔ Answer: Mean: 4.57, Median: 4, Mode: 2 and 9, Range: 8

---

3. 16, 20, 10, 10, 4, 9, 29

Sorted: 4, 9, 10, 10, 16, 20, 29
- Mean: (4+9+10+10+16+20+29)/7 = 98/7 = 14
- Median: Middle value (4th) = 10
- Mode: 10 appears twice → 10
- Range: 29 - 4 = 25

✔ Answer: Mean: 14, Median: 10, Mode: 10, Range: 25

---

4. 10, 12, 18, 15, 10, 5, 7

Sorted: 5, 7, 10, 10, 12, 15, 18
- Mean: (5+7+10+10+12+15+18)/7 = 77/7 = 11
- Median: Middle value (4th) = 10
- Mode: 10 appears twice → 10
- Range: 18 - 5 = 13

✔ Answer: Mean: 11, Median: 10, Mode: 10, Range: 13

---

5. 53, 20, 47, 10, 10, 52, 4

Sorted: 4, 10, 10, 20, 47, 52, 53
- Mean: (4+10+10+20+47+52+53)/7 = 196/7 = 28
- Median: Middle value (4th) = 20
- Mode: 10 appears twice → 10
- Range: 53 - 4 = 49

✔ Answer: Mean: 28, Median: 20, Mode: 10, Range: 49

---

6. 8, 2, 5, 4, 1, 7, 8

Sorted: 1, 2, 4, 5, 7, 8, 8
- Mean: (1+2+4+5+7+8+8)/7 = 35/7 = 5
- Median: Middle value (4th) = 5
- Mode: 8 appears twice → 8
- Range: 8 - 1 = 7

✔ Answer: Mean: 5, Median: 5, Mode: 8, Range: 7

---

7. 22, 10, 10, 15, 16, 1, 3

Sorted: 1, 3, 10, 10, 15, 16, 22
- Mean: (1+3+10+10+15+16+22)/7 = 77/7 = 11
- Median: Middle value (4th) = 10
- Mode: 10 appears twice → 10
- Range: 22 - 1 = 21

✔ Answer: Mean: 11, Median: 10, Mode: 10, Range: 21

---

8. 10, 3, 5, 60, 14, 20, 14

Sorted: 3, 5, 10, 14, 14, 20, 60
- Mean: (3+5+10+14+14+20+60)/7 = 126/7 = 18
- Median: Middle value (4th) = 14
- Mode: 14 appears twice → 14
- Range: 60 - 3 = 57

✔ Answer: Mean: 18, Median: 14, Mode: 14, Range: 57

---

9. 5, 0, 4, 81, 1, 20, 1

Sorted: 0, 1, 1, 4, 5, 20, 81
- Mean: (0+1+1+4+5+20+81)/7 = 112/7 = 16
- Median: Middle value (4th) = 4
- Mode: 1 appears twice → 1
- Range: 81 - 0 = 81

✔ Answer: Mean: 16, Median: 4, Mode: 1, Range: 81

---

10. 5, 20, 15, 40, 4, 15, 55

Sorted: 4, 5, 15, 15, 20, 40, 55
- Mean: (4+5+15+15+20+40+55)/7 = 154/7 = 22
- Median: Middle value (4th) = 15
- Mode: 15 appears twice → 15
- Range: 55 - 4 = 51

✔ Answer: Mean: 22, Median: 15, Mode: 15, Range: 51

---

✔ Final Answers Table:

| List | Mean | Median | Mode | Range |
|------|----------|--------|------------|-------|
| 1 | 12.43 | 11 | No mode | 18 |
| 2 | 4.57 | 4 | 2, 9 | 8 |
| 3 | 14 | 10 | 10 | 25 |
| 4 | 11 | 10 | 10 | 13 |
| 5 | 28 | 20 | 10 | 49 |
| 6 | 5 | 5 | 8 | 7 |
| 7 | 11 | 10 | 10 | 21 |
| 8 | 18 | 14 | 14 | 57 |
| 9 | 16 | 4 | 1 | 81 |
| 10 | 22 | 15 | 15 | 51 |

Let me know if you'd like this formatted as a printable answer sheet!