Mean Median Mode Range Worksheets - Math Monks - Free Printable

Let's solve each problem step by step for Mean, Median, and Mode.

---

🔷 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 number (can be more than one or none)

---

We’ll go through each problem:

---

1. 23, 65, 56, 56, 56, 56

- Sorted: 23, 56, 56, 56, 56, 65
- Mean: (23 + 65 + 56 + 56 + 56 + 56) / 6 = (312) / 6 = 52
- Median: Middle of 6 numbers → average of 3rd and 4th: (56 + 56)/2 = 56
- Mode: 56 appears 4 times → 56

✔ Mean = 52, Median = 56, Mode = 56

---

2. 32, 23, 22, 33, 33, 23, 32, 23, 22

- Sorted: 22, 22, 23, 23, 23, 32, 32, 33, 33
- Mean: (22+22+23+23+23+32+32+33+33) / 9 = (243)/9 = 27
- Median: 9 numbers → 5th is 23
- Mode: 23 appears 3 times → 23

✔ Mean = 27, Median = 23, Mode = 23

---

3. 15, 18, 16, 18, 19, 22

- Sorted: 15, 16, 18, 18, 19, 22
- Mean: (15+16+18+18+19+22)/6 = (108)/6 = 18
- Median: Average of 3rd and 4th: (18 + 18)/2 = 18
- Mode: 18 appears twice → 18

✔ Mean = 18, Median = 18, Mode = 18

---

4. 12, 5, 9, 18, 22, 25, 5

- Sorted: 5, 5, 9, 12, 18, 22, 25
- Mean: (5+5+9+12+18+22+25)/7 = (96)/7 ≈ 13.71
- Median: 7 numbers → 4th is 12
- Mode: 5 appears twice → 5

✔ Mean ≈ 13.71, Median = 12, Mode = 5

---

5. 77, 65, 43, 43, 64, 9

- Sorted: 9, 43, 43, 64, 65, 77
- Mean: (9+43+43+64+65+77)/6 = (301)/6 ≈ 50.17
- Median: Average of 3rd and 4th: (43 + 64)/2 = 53.5
- Mode: 43 appears twice → 43

✔ Mean ≈ 50.17, Median = 53.5, Mode = 43

---

6. 65, 65, 21, 21, 65, 22

- Sorted: 21, 21, 22, 65, 65, 65
- Mean: (21+21+22+65+65+65)/6 = (254)/6 ≈ 42.33
- Median: Average of 3rd and 4th: (22 + 65)/2 = 43.5
- Mode: 65 appears 3 times → 65

✔ Mean ≈ 42.33, Median = 43.5, Mode = 65

---

7. 22, 35, 58, 63, 75

- Sorted: 22, 35, 58, 63, 75
- Mean: (22+35+58+63+75)/5 = (253)/5 = 50.6
- Median: 5 numbers → 3rd is 58
- Mode: All appear once → No mode (or "none")

✔ Mean = 50.6, Median = 58, Mode = None

---

8. 2, 7, 10, 5, 1, 6, 8, 1, 10, 1

- Sorted: 1, 1, 1, 2, 5, 6, 7, 8, 10, 10
- Mean: (1+1+1+2+5+6+7+8+10+10)/10 = (51)/10 = 5.1
- Median: 10 numbers → average of 5th and 6th: (5 + 6)/2 = 5.5
- Mode: 1 appears 3 times, 10 appears 2 times → 1

✔ Mean = 5.1, Median = 5.5, Mode = 1

---

9. 86, 24, 65, 65, 24, 24

- Sorted: 24, 24, 24, 65, 65, 86
- Mean: (24+24+24+65+65+86)/6 = (354)/6 = 59
- Median: Average of 3rd and 4th: (24 + 65)/2 = 44.5
- Mode: 24 appears 3 times → 24

✔ Mean = 59, Median = 44.5, Mode = 24

---

10. 86, 56, 86, 54, 107

- Sorted: 54, 56, 86, 86, 107
- Mean: (54+56+86+86+107)/5 = (409)/5 = 81.8
- Median: 5 numbers → 3rd is 86
- Mode: 86 appears twice → 86

✔ Mean = 81.8, Median = 86, Mode = 86

---

11. 10, 39, 71, 42, 39, 76, 38, 25

- Sorted: 10, 25, 38, 39, 39, 42, 71, 76
- Mean: (10+25+38+39+39+42+71+76)/8 = (340)/8 = 42.5
- Median: Average of 4th and 5th: (39 + 39)/2 = 39
- Mode: 39 appears twice → 39

✔ Mean = 42.5, Median = 39, Mode = 39

---

12. 11, 11, 13, 8, 12, 11

- Sorted: 8, 11, 11, 11, 12, 13
- Mean: (8+11+11+11+12+13)/6 = (66)/6 = 11
- Median: Average of 3rd and 4th: (11 + 11)/2 = 11
- Mode: 11 appears 3 times → 11

✔ Mean = 11, Median = 11, Mode = 11

---

✔ Final Answers:

| # | Mean | Median | Mode |
|---|------------|------------|--------|
| 1 | 52 | 56 | 56 |
| 2 | 27 | 23 | 23 |
| 3 | 18 | 18 | 18 |
| 4 | ~13.71 | 12 | 5 |
| 5 | ~50.17 | 53.5 | 43 |
| 6 | ~42.33 | 43.5 | 65 |
| 7 | 50.6 | 58 | None |
| 8 | 5.1 | 5.5 | 1 |
| 9 | 59 | 44.5 | 24 |
|10 | 81.8 | 86 | 86 |
|11 | 42.5 | 39 | 39 |
|12 | 11 | 11 | 11 |

> ⚠️ Note: For mode, if no number repeats, write "None". If multiple numbers tie for most frequent, list all (but here only one repeated).

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