Mean Median Mode & Range Worksheet - Australian Resources - Free Printable

I'll solve each problem step by step, calculating the mean, median, mode, and range for each set of numbers.

Problem 1: 80, 59, 77, 54, 13, 59
- First, order the numbers: 13, 54, 59, 59, 77, 80
- Mean: (13 + 54 + 59 + 59 + 77 + 80) 6 = 342 ÷ 6 = 57
- Median: Middle of 6 numbers is average of 3rd and 4th: (59 + 59) ÷ 2 = 59
- Mode: 59 appears twice (most frequent)
- Range: 80 - 13 = 67

Problem 2: 85, 67, 67, 86, 85
- Order: 67, 67, 85, 85, 86
- Mean: (67 + 67 + 85 + 85 + 86) 5 = 390 ÷ 5 = 78
- Median: Middle number (3rd of 5) = 85
- Mode: Both 67 and 85 appear twice - bimodal (67, 85)
- Range: 86 - 67 = 19

Problem 3: 60, 60, 61, 63
- Already ordered: 60, 60, 61, 63
- Mean: (60 + 60 + 61 + 63) ÷ 4 = 244 ÷ 4 = 61
- Median: Average of 2nd and 3rd: (60 + 61) ÷ 2 = 60.5
- Mode: 60 appears twice
- Range: 63 - 60 = 3

Problem 4: 233, 7, 7, 7
- Order: 7, 7, 7, 233
- Mean: (7 + 7 + 7 + 233) ÷ 4 = 254 ÷ 4 = 63.5
- Median: Average of 2nd and 3rd: (7 + 7) ÷ 2 = 7
- Mode: 7 appears three times
- Range: 233 - 7 = 226

Problem 5: 77, 65, 43, 43, 64, 9
- Order: 9, 43, 43, 64, 65, 77
- Mean: (9 + 43 + 43 + 64 + 65 + 77) ÷ 6 = 301 ÷ 6 = 50.17 (or 50.2)
- Median: Average of 3rd and 4th: (43 + 64) ÷ 2 = 53.5
- Mode: 43 appears twice
- Range: 77 - 9 = 68

Problem 6: 43, 90, 50, 55, 55, 90
- Order: 43, 50, 55, 55, 90, 90
- Mean: (43 + 50 + 55 + 55 + 90 + 90) ÷ 6 = 383 ÷ 6 = 63.83 (or 63.8)
- Median: Average of 3rd and 4th: (55 + 55) ÷ 2 = 55
- Mode: Both 55 and 90 appear twice - bimodal (55, 90)
- Range: 90 - 43 = 47

Problem 7: 11, 45, 47, 45, 66, 75
- Order: 11, 45, 45, 47, 66, 75
- Mean: (11 + 45 + 45 + 47 + 66 + 75) ÷ 6 = 289 ÷ 6 = 48.17 (or 48.2)
- Median: Average of 3rd and 4th: (45 + 47) ÷ 2 = 46
- Mode: 45 appears twice
- Range: 75 - 11 = 64

Problem 8: 8, 4, 8, 4, 4, 4
- Order: 4, 4, 4, 4, 8, 8
- Mean: (4 + 4 + 4 + 4 + 8 + 8) ÷ 6 = 32 ÷ 6 = 5.33 (or 5.3)
- Median: Average of 3rd and 4th: (4 + 4) ÷ 2 = 4
- Mode: 4 appears four times
- Range: 8 - 4 = 4

Problem 9: 23, 65, 56, 56, 56, 56
- Order: 23, 56, 56, 56, 56, 65
- Mean: (23 + 56 + 56 + 56 + 56 + 65) ÷ 6 = 312 ÷ 6 = 52
- Median: Average of 3rd and 4th: (56 + 56) ÷ 2 = 56
- Mode: 56 appears four times
- Range: 65 - 23 = 42

Problem 10: 86, 56, 86, 54, 107
- Order: 54, 56, 86, 86, 107
- Mean: (54 + 56 + 86 + 86 + 107) ÷ 5 = 389 5 = 77.8
- Median: Middle number (3rd of 5) = 86
- Mode: 86 appears twice
- Range: 107 - 54 = 53

Problem 11: 1023, 1033, 1023
- Order: 1023, 1023, 1033
- Mean: (1023 + 1023 + 1033) ÷ 3 = 3079 ÷ 3 = 1026.33 (or 1026.3)
- Median: Middle number (2nd of 3) = 1023
- Mode: 1023 appears twice
- Range: 1033 - 1023 = 10

Problem 12: 11, 11, 15, 14
- Order: 11, 11, 14, 15
- Mean: (11 + 11 + 14 + 15) ÷ 4 = 51 ÷ 4 = 12.75
- Median: Average of 2nd and 3rd: (11 + 14) 2 = 12.5
- Mode: 11 appears twice
- Range: 15 - 11 = 4

Final Answer:

1. Mean: 57, Median: 59, Mode: 59, Range: 67

2. Mean: 78, Median: 85, Mode: 67 and 85, Range: 19

3. Mean: 61, Median: 60.5, Mode: 60, Range: 3

4. Mean: 63.5, Median: 7, Mode: 7, Range: 226

5. Mean: 50.2, Median: 53.5, Mode: 43, Range: 68

6. Mean: 63.8, Median: 55, Mode: 55 and 90, Range: 47

7. Mean: 48.2, Median: 46, Mode: 45, Range: 64

8. Mean: 5.3, Median: 4, Mode: 4, Range: 4

9. Mean: 52, Median: 56, Mode: 56, Range: 42

10. Mean: 77.8, Median: 86, Mode: 86, Range: 53

11. Mean: 1026.3, Median: 1023, Mode: 1023, Range: 10

12. Mean: 12.75, Median: 12.5, Mode: 11, Range: 4