Printable math worksheet for finding mean, median, mode, and range.
Worksheet for calculating mean, median, mode, and range with ten sets of numbers.
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Step-by-step solution for: Mean, Median, Mode worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Mean, Median, Mode worksheet
Here are the step-by-step solutions for each problem on the worksheet.
To solve these, remember:
* Mean: Add all numbers, then divide by how many numbers there are.
* Median: Put numbers in order (smallest to biggest) and find the middle one.
* Mode: The number that appears the most often.
* Range: Subtract the smallest number from the biggest number.
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1) 24, 31, 12, 38, 12, 15
* Order: 12, 12, 15, 24, 31, 38
* Mean: $12+12+15+24+31+38 = 132$. Divide by 6: $132 \div 6 = 22$.
* Median: The middle two are 15 and 24. Average them: $(15+24)\div 2 = 19.5$.
* Mode: 12 appears twice.
* Range: $38 - 12 = 26$.
2) 5, 28, 16, 32, 5, 16, 48, 29, 5, 35
* Order: 5, 5, 5, 16, 16, 28, 29, 32, 35, 48
* Mean: Sum is 219. Divide by 10: $21.9$.
* Median: Middle two are 16 and 28. Average: $(16+28)\div 2 = 22$.
* Mode: 5 appears three times.
* Range: $48 - 5 = 43$.
3) 53, 13, 34, 41, 26, 61, 34, 13, 69
* Order: 13, 13, 26, 34, 34, 41, 53, 61, 69
* Mean: Sum is 344. Divide by 9: $38.22$ (rounded).
* Median: The middle number (5th one) is 34.
* Mode: 13 and 34 both appear twice.
* Range: $69 - 13 = 56$.
4) 85, 58, 72, 85, 46, 93
* Order: 46, 58, 72, 85, 85, 93
* Mean: Sum is 439. Divide by 6: $73.17$ (rounded).
* Median: Middle two are 72 and 85. Average: $(72+85)\div 2 = 78.5$.
* Mode: 85 appears twice.
* Range: $93 - 46 = 47$.
5) 92, 63, 22, 80, 63, 71, 44, 35
* Order: 22, 35, 44, 63, 63, 71, 80, 92
* Mean: Sum is 470. Divide by 8: $58.75$.
* Median: Middle two are 63 and 63. Average: 63.
* Mode: 63 appears twice.
* Range: $92 - 22 = 70$.
6) 39, 82, 74, 96, 64, 52, 74
* Order: 39, 52, 64, 74, 74, 82, 96
* Mean: Sum is 481. Divide by 7: $68.71$ (rounded).
* Median: The middle number (4th one) is 74.
* Mode: 74 appears twice.
* Range: $96 - 39 = 57$.
7) 72, 43, 15, 66, 32, 72, 52, 19, 28, 81
* Order: 15, 19, 28, 32, 43, 52, 66, 72, 72, 81
* Mean: Sum is 480. Divide by 10: $48$.
* Median: Middle two are 43 and 52. Average: $(43+52)\div 2 = 47.5$.
* Mode: 72 appears twice.
* Range: $81 - 15 = 66$.
8) 40, 90, 36, 68, 90, 11, 88, 54
* Order: 11, 36, 40, 54, 68, 88, 90, 90
* Mean: Sum is 477. Divide by 8: $59.625$.
* Median: Middle two are 54 and 68. Average: $(54+68)\div 2 = 61$.
* Mode: 90 appears twice.
* Range: $90 - 11 = 79$.
9) 12, 46, 32, 18, 26, 41, 46
* Order: 12, 18, 26, 32, 41, 46, 46
* Mean: Sum is 221. Divide by 7: $31.57$ (rounded).
* Median: The middle number (4th one) is 32.
* Mode: 46 appears twice.
* Range: $46 - 12 = 34$.
10) 63, 40, 51, 70, 36, 21, 51, 28, 19
* Order: 19, 21, 28, 36, 40, 51, 51, 63, 70
* Mean: Sum is 379. Divide by 9: $42.11$ (rounded).
* Median: The middle number (5th one) is 40.
* Mode: 51 appears twice.
* Range: $70 - 19 = 51$.
──────────────────────────────────────
Final Answer:
1) Mean: 22, Median: 19.5, Mode: 12, Range: 26
2) Mean: 21.9, Median: 22, Mode: 5, Range: 43
3) Mean: 38.22, Median: 34, Mode: 13 & 34, Range: 56
4) Mean: 73.17, Median: 78.5, Mode: 85, Range: 47
5) Mean: 58.75, Median: 63, Mode: 63, Range: 70
6) Mean: 68.71, Median: 74, Mode: 74, Range: 57
7) Mean: 48, Median: 47.5, Mode: 72, Range: 66
8) Mean: 59.63, Median: 61, Mode: 90, Range: 79
9) Mean: 31.57, Median: 32, Mode: 46, Range: 34
10) Mean: 42.11, Median: 40, Mode: 51, Range: 51
To solve these, remember:
* Mean: Add all numbers, then divide by how many numbers there are.
* Median: Put numbers in order (smallest to biggest) and find the middle one.
* Mode: The number that appears the most often.
* Range: Subtract the smallest number from the biggest number.
---
1) 24, 31, 12, 38, 12, 15
* Order: 12, 12, 15, 24, 31, 38
* Mean: $12+12+15+24+31+38 = 132$. Divide by 6: $132 \div 6 = 22$.
* Median: The middle two are 15 and 24. Average them: $(15+24)\div 2 = 19.5$.
* Mode: 12 appears twice.
* Range: $38 - 12 = 26$.
2) 5, 28, 16, 32, 5, 16, 48, 29, 5, 35
* Order: 5, 5, 5, 16, 16, 28, 29, 32, 35, 48
* Mean: Sum is 219. Divide by 10: $21.9$.
* Median: Middle two are 16 and 28. Average: $(16+28)\div 2 = 22$.
* Mode: 5 appears three times.
* Range: $48 - 5 = 43$.
3) 53, 13, 34, 41, 26, 61, 34, 13, 69
* Order: 13, 13, 26, 34, 34, 41, 53, 61, 69
* Mean: Sum is 344. Divide by 9: $38.22$ (rounded).
* Median: The middle number (5th one) is 34.
* Mode: 13 and 34 both appear twice.
* Range: $69 - 13 = 56$.
4) 85, 58, 72, 85, 46, 93
* Order: 46, 58, 72, 85, 85, 93
* Mean: Sum is 439. Divide by 6: $73.17$ (rounded).
* Median: Middle two are 72 and 85. Average: $(72+85)\div 2 = 78.5$.
* Mode: 85 appears twice.
* Range: $93 - 46 = 47$.
5) 92, 63, 22, 80, 63, 71, 44, 35
* Order: 22, 35, 44, 63, 63, 71, 80, 92
* Mean: Sum is 470. Divide by 8: $58.75$.
* Median: Middle two are 63 and 63. Average: 63.
* Mode: 63 appears twice.
* Range: $92 - 22 = 70$.
6) 39, 82, 74, 96, 64, 52, 74
* Order: 39, 52, 64, 74, 74, 82, 96
* Mean: Sum is 481. Divide by 7: $68.71$ (rounded).
* Median: The middle number (4th one) is 74.
* Mode: 74 appears twice.
* Range: $96 - 39 = 57$.
7) 72, 43, 15, 66, 32, 72, 52, 19, 28, 81
* Order: 15, 19, 28, 32, 43, 52, 66, 72, 72, 81
* Mean: Sum is 480. Divide by 10: $48$.
* Median: Middle two are 43 and 52. Average: $(43+52)\div 2 = 47.5$.
* Mode: 72 appears twice.
* Range: $81 - 15 = 66$.
8) 40, 90, 36, 68, 90, 11, 88, 54
* Order: 11, 36, 40, 54, 68, 88, 90, 90
* Mean: Sum is 477. Divide by 8: $59.625$.
* Median: Middle two are 54 and 68. Average: $(54+68)\div 2 = 61$.
* Mode: 90 appears twice.
* Range: $90 - 11 = 79$.
9) 12, 46, 32, 18, 26, 41, 46
* Order: 12, 18, 26, 32, 41, 46, 46
* Mean: Sum is 221. Divide by 7: $31.57$ (rounded).
* Median: The middle number (4th one) is 32.
* Mode: 46 appears twice.
* Range: $46 - 12 = 34$.
10) 63, 40, 51, 70, 36, 21, 51, 28, 19
* Order: 19, 21, 28, 36, 40, 51, 51, 63, 70
* Mean: Sum is 379. Divide by 9: $42.11$ (rounded).
* Median: The middle number (5th one) is 40.
* Mode: 51 appears twice.
* Range: $70 - 19 = 51$.
──────────────────────────────────────
Final Answer:
1) Mean: 22, Median: 19.5, Mode: 12, Range: 26
2) Mean: 21.9, Median: 22, Mode: 5, Range: 43
3) Mean: 38.22, Median: 34, Mode: 13 & 34, Range: 56
4) Mean: 73.17, Median: 78.5, Mode: 85, Range: 47
5) Mean: 58.75, Median: 63, Mode: 63, Range: 70
6) Mean: 68.71, Median: 74, Mode: 74, Range: 57
7) Mean: 48, Median: 47.5, Mode: 72, Range: 66
8) Mean: 59.63, Median: 61, Mode: 90, Range: 79
9) Mean: 31.57, Median: 32, Mode: 46, Range: 34
10) Mean: 42.11, Median: 40, Mode: 51, Range: 51
Parent Tip: Review the logic above to help your child master the concept of mean median mode worksheet kuta.
