Printable math worksheet designed to help students practice calculating mean, median, mode, and range for various data sets.
Educational worksheet: Mean, Median, Mode and Range Worksheets. Download and print for classroom or home learning activities.
GIF
1000×1294
86.3 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #111822
⭐
Show Answer Key & Explanations
Step-by-step solution for: Mean, Median, Mode and Range Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Mean, Median, Mode and Range Worksheets
Let's solve each problem step by step. For each data set, we'll:
1. Order the numbers from smallest to largest.
2. Find the Mean (average): sum of all numbers divided by count.
3. Find the Median: middle number (or average of two middle numbers if even count).
4. Find the Mode: most frequent number(s). If no repeat, no mode.
5. Find the Range: highest value minus lowest value.
---
Order:
2, 2, 2, 3, 3, 4, 5, 5, 8, 10, 11
- Mean:
Sum = 2+2+2+3+3+4+5+5+8+10+11 = 55
Count = 11
Mean = 55 ÷ 11 = 5
- Median:
Middle number (6th in ordered list) = 4
- Mode:
Most frequent: 2 appears 3 times → 2
- Range:
Max = 11, Min = 2 → Range = 11 - 2 = 9
✔ Answer:
- Mean: 5
- Median: 4
- Mode: 2
- Range: 9
---
Order:
38, 38, 38, 41, 43, 45, 47, 53, 53
- Mean:
Sum = 38×3 + 41 + 43 + 45 + 47 + 53×2 = 114 + 41 + 43 + 45 + 47 + 106 = 406
Count = 9
Mean = 406 ÷ 9 ≈ 45.11
- Median:
Middle (5th) = 43
- Mode:
38 appears 3 times → 38
- Range:
Max = 53, Min = 38 → 53 - 38 = 15
✔ Answer:
- Mean: ~45.11
- Median: 43
- Mode: 38
- Range: 15
---
Order:
0.2, 0.2, 0.3, 0.4, 0.4, 0.4, 0.8, 1.3
- Mean:
Sum = 0.2+0.2+0.3+0.4+0.4+0.4+0.8+1.3 = 4.1
Count = 8
Mean = 4.1 ÷ 8 = 0.5125
- Median:
Average of 4th and 5th: (0.4 + 0.4)/2 = 0.4
- Mode:
0.4 appears 3 times → 0.4
- Range:
Max = 1.3, Min = 0.2 → 1.3 - 0.2 = 1.1
✔ Answer:
- Mean: 0.5125
- Median: 0.4
- Mode: 0.4
- Range: 1.1
---
Order:
-8, -5, -5, -3, -1, 1, 2, 4, 4, 4, 7
- Mean:
Sum = (-8)+(-5)+(-5)+(-3)+(-1)+1+2+4+4+4+7 =
= -8 -5 -5 -3 -1 +1 +2 +4 +4 +4 +7 =
= (-22) + (18) = -4
Count = 11
Mean = -4 ÷ 11 ≈ -0.36
- Median:
6th number = 1
- Mode:
4 appears 3 times → 4
- Range:
Max = 7, Min = -8 → 7 - (-8) = 15
✔ Answer:
- Mean: ~-0.36
- Median: 1
- Mode: 4
- Range: 15
---
Order:
72, 73, 75, 75, 79, 80, 81, 89
- Mean:
Sum = 72+73+75+75+79+80+81+89 =
= (72+73)=145, (75+75)=150, (79+80)=159, (81+89)=170
Total = 145+150=295; 295+159=454; 454+170=624
Count = 8
Mean = 624 ÷ 8 = 78
- Median:
Average of 4th and 5th: (75 + 79)/2 = 154/2 = 77
- Mode:
75 appears twice → 75
- Range:
Max = 89, Min = 72 → 89 - 72 = 17
✔ Answer:
- Mean: 78
- Median: 77
- Mode: 75
- Range: 17
---
Order:
1.3, 1.4, 1.8, 1.8, 2.0, 2.2, 2.6, 2.9
- Mean:
Sum = 1.3+1.4+1.8+1.8+2.0+2.2+2.6+2.9 =
= (1.3+1.4)=2.7, (1.8+1.8)=3.6, (2.0+2.2)=4.2, (2.6+2.9)=5.5
Total = 2.7+3.6=6.3; 6.3+4.2=10.5; 10.5+5.5=16.0
Count = 8
Mean = 16 ÷ 8 = 2.0
- Median:
Average of 4th and 5th: (1.8 + 2.0)/2 = 3.8/2 = 1.9
- Mode:
1.8 appears twice → 1.8
- Range:
Max = 2.9, Min = 1.3 → 2.9 - 1.3 = 1.6
✔ Answer:
- Mean: 2.0
- Median: 1.9
- Mode: 1.8
- Range: 1.6
---
Order:
3.3, 3.8, 3.8, 4.0, 4.2, 4.3, 4.3, 4.3
- Mean:
Sum = 3.3 + 3.8 + 3.8 + 4.0 + 4.2 + 4.3 + 4.3 + 4.3
= (3.3) + (3.8×2)=7.6, (4.0), (4.2), (4.3×3)=12.9
Total = 3.3 + 7.6 = 10.9; +4.0 = 14.9; +4.2 = 19.1; +12.9 = 32.0
Count = 8
Mean = 32 ÷ 8 = 4.0
- Median:
Average of 4th and 5th: (4.0 + 4.2)/2 = 8.2/2 = 4.1
- Mode:
4.3 appears 3 times → 4.3
- Range:
Max = 4.3, Min = 3.3 → 4.3 - 3.3 = 1.0
✔ Answer:
- Mean: 4.0
- Median: 4.1
- Mode: 4.3
- Range: 1.0
---
Order:
-9, -5, -5, -1, 0, 1, 2, 6, 6, 6, 10
- Mean:
Sum = (-9) + (-5) + (-5) + (-1) + 0 + 1 + 2 + 6 + 6 + 6 + 10
= (-20) + (-1) + 0 + 1 + 2 + 6 + 6 + 6 + 10
= -21 + (1+2)=3 → -18; +6= -12; +6= -6; +6=0; +10= 10
Count = 11
Mean = 10 ÷ 11 ≈ 0.91
- Median:
6th number = 1
- Mode:
6 appears 3 times → 6
- Range:
Max = 10, Min = -9 → 10 - (-9) = 19
✔ Answer:
- Mean: ~0.91
- Median: 1
- Mode: 6
- Range: 19
---
| # | Order | Mean | Median | Mode | Range |
|---|------|------|--------|------|-------|
| 1 | 2,2,2,3,3,4,5,5,8,10,11 | 5 | 4 | 2 | 9 |
| 2 | 38,38,38,41,43,45,47,53,53 | 45.11 | 43 | 38 | 15 |
| 3 | 0.2,0.2,0.3,0.4,0.4,0.4,0.8,1.3 | 0.5125 | 0.4 | 0.4 | 1.1 |
| 4 | -8,-5,-5,-3,-1,1,2,4,4,4,7 | -0.36 | 1 | 4 | 15 |
| 5 | 72,73,75,75,79,80,81,89 | 78 | 77 | 75 | 17 |
| 6 | 1.3,1.4,1.8,1.8,2.0,2.2,2.6,2.9 | 2.0 | 1.9 | 1.8 | 1.6 |
| 7 | 3.3,3.8,3.8,4.0,4.2,4.3,4.3,4.3 | 4.0 | 4.1 | 4.3 | 1.0 |
| 8 | -9,-5,-5,-1,0,1,2,6,6,6,10 | 0.91 | 1 | 6 | 19 |
> Note: All decimals are rounded appropriately (e.g., mean to 2 decimal places unless exact).
Let me know if you'd like this formatted as a printable sheet or need help understanding any step!
1. Order the numbers from smallest to largest.
2. Find the Mean (average): sum of all numbers divided by count.
3. Find the Median: middle number (or average of two middle numbers if even count).
4. Find the Mode: most frequent number(s). If no repeat, no mode.
5. Find the Range: highest value minus lowest value.
---
1) Data: 2, 5, 3, 4, 8, 2, 5, 3, 10, 11, 2
Order:
2, 2, 2, 3, 3, 4, 5, 5, 8, 10, 11
- Mean:
Sum = 2+2+2+3+3+4+5+5+8+10+11 = 55
Count = 11
Mean = 55 ÷ 11 = 5
- Median:
Middle number (6th in ordered list) = 4
- Mode:
Most frequent: 2 appears 3 times → 2
- Range:
Max = 11, Min = 2 → Range = 11 - 2 = 9
✔ Answer:
- Mean: 5
- Median: 4
- Mode: 2
- Range: 9
---
2) Data: 53, 38, 43, 47, 38, 45, 53, 41, 38
Order:
38, 38, 38, 41, 43, 45, 47, 53, 53
- Mean:
Sum = 38×3 + 41 + 43 + 45 + 47 + 53×2 = 114 + 41 + 43 + 45 + 47 + 106 = 406
Count = 9
Mean = 406 ÷ 9 ≈ 45.11
- Median:
Middle (5th) = 43
- Mode:
38 appears 3 times → 38
- Range:
Max = 53, Min = 38 → 53 - 38 = 15
✔ Answer:
- Mean: ~45.11
- Median: 43
- Mode: 38
- Range: 15
---
3) Data: 0.2, 0.8, 0.4, 0.3, 0.4, 1.3, 0.2, 0.4
Order:
0.2, 0.2, 0.3, 0.4, 0.4, 0.4, 0.8, 1.3
- Mean:
Sum = 0.2+0.2+0.3+0.4+0.4+0.4+0.8+1.3 = 4.1
Count = 8
Mean = 4.1 ÷ 8 = 0.5125
- Median:
Average of 4th and 5th: (0.4 + 0.4)/2 = 0.4
- Mode:
0.4 appears 3 times → 0.4
- Range:
Max = 1.3, Min = 0.2 → 1.3 - 0.2 = 1.1
✔ Answer:
- Mean: 0.5125
- Median: 0.4
- Mode: 0.4
- Range: 1.1
---
4) Data: -8, 4, 2, -5, 4, -1, -3, 4, -5, 1, 7
Order:
-8, -5, -5, -3, -1, 1, 2, 4, 4, 4, 7
- Mean:
Sum = (-8)+(-5)+(-5)+(-3)+(-1)+1+2+4+4+4+7 =
= -8 -5 -5 -3 -1 +1 +2 +4 +4 +4 +7 =
= (-22) + (18) = -4
Count = 11
Mean = -4 ÷ 11 ≈ -0.36
- Median:
6th number = 1
- Mode:
4 appears 3 times → 4
- Range:
Max = 7, Min = -8 → 7 - (-8) = 15
✔ Answer:
- Mean: ~-0.36
- Median: 1
- Mode: 4
- Range: 15
---
5) Data: 81, 75, 73, 79, 75, 89, 72, 80
Order:
72, 73, 75, 75, 79, 80, 81, 89
- Mean:
Sum = 72+73+75+75+79+80+81+89 =
= (72+73)=145, (75+75)=150, (79+80)=159, (81+89)=170
Total = 145+150=295; 295+159=454; 454+170=624
Count = 8
Mean = 624 ÷ 8 = 78
- Median:
Average of 4th and 5th: (75 + 79)/2 = 154/2 = 77
- Mode:
75 appears twice → 75
- Range:
Max = 89, Min = 72 → 89 - 72 = 17
✔ Answer:
- Mean: 78
- Median: 77
- Mode: 75
- Range: 17
---
6) Data: 1.3, 2.9, 1.8, 1.4, 2.0, 2.2, 1.8, 2.6
Order:
1.3, 1.4, 1.8, 1.8, 2.0, 2.2, 2.6, 2.9
- Mean:
Sum = 1.3+1.4+1.8+1.8+2.0+2.2+2.6+2.9 =
= (1.3+1.4)=2.7, (1.8+1.8)=3.6, (2.0+2.2)=4.2, (2.6+2.9)=5.5
Total = 2.7+3.6=6.3; 6.3+4.2=10.5; 10.5+5.5=16.0
Count = 8
Mean = 16 ÷ 8 = 2.0
- Median:
Average of 4th and 5th: (1.8 + 2.0)/2 = 3.8/2 = 1.9
- Mode:
1.8 appears twice → 1.8
- Range:
Max = 2.9, Min = 1.3 → 2.9 - 1.3 = 1.6
✔ Answer:
- Mean: 2.0
- Median: 1.9
- Mode: 1.8
- Range: 1.6
---
7) Data: 4.3, 3.8, 3.3, 4.0, 3.8, 4.3, 4.2, 4.3
Order:
3.3, 3.8, 3.8, 4.0, 4.2, 4.3, 4.3, 4.3
- Mean:
Sum = 3.3 + 3.8 + 3.8 + 4.0 + 4.2 + 4.3 + 4.3 + 4.3
= (3.3) + (3.8×2)=7.6, (4.0), (4.2), (4.3×3)=12.9
Total = 3.3 + 7.6 = 10.9; +4.0 = 14.9; +4.2 = 19.1; +12.9 = 32.0
Count = 8
Mean = 32 ÷ 8 = 4.0
- Median:
Average of 4th and 5th: (4.0 + 4.2)/2 = 8.2/2 = 4.1
- Mode:
4.3 appears 3 times → 4.3
- Range:
Max = 4.3, Min = 3.3 → 4.3 - 3.3 = 1.0
✔ Answer:
- Mean: 4.0
- Median: 4.1
- Mode: 4.3
- Range: 1.0
---
8) Data: 6, -9, 1, 6, 0, -5, -1, 6, -5, 2, 10
Order:
-9, -5, -5, -1, 0, 1, 2, 6, 6, 6, 10
- Mean:
Sum = (-9) + (-5) + (-5) + (-1) + 0 + 1 + 2 + 6 + 6 + 6 + 10
= (-20) + (-1) + 0 + 1 + 2 + 6 + 6 + 6 + 10
= -21 + (1+2)=3 → -18; +6= -12; +6= -6; +6=0; +10= 10
Count = 11
Mean = 10 ÷ 11 ≈ 0.91
- Median:
6th number = 1
- Mode:
6 appears 3 times → 6
- Range:
Max = 10, Min = -9 → 10 - (-9) = 19
✔ Answer:
- Mean: ~0.91
- Median: 1
- Mode: 6
- Range: 19
---
✔ Final Answers Table:
| # | Order | Mean | Median | Mode | Range |
|---|------|------|--------|------|-------|
| 1 | 2,2,2,3,3,4,5,5,8,10,11 | 5 | 4 | 2 | 9 |
| 2 | 38,38,38,41,43,45,47,53,53 | 45.11 | 43 | 38 | 15 |
| 3 | 0.2,0.2,0.3,0.4,0.4,0.4,0.8,1.3 | 0.5125 | 0.4 | 0.4 | 1.1 |
| 4 | -8,-5,-5,-3,-1,1,2,4,4,4,7 | -0.36 | 1 | 4 | 15 |
| 5 | 72,73,75,75,79,80,81,89 | 78 | 77 | 75 | 17 |
| 6 | 1.3,1.4,1.8,1.8,2.0,2.2,2.6,2.9 | 2.0 | 1.9 | 1.8 | 1.6 |
| 7 | 3.3,3.8,3.8,4.0,4.2,4.3,4.3,4.3 | 4.0 | 4.1 | 4.3 | 1.0 |
| 8 | -9,-5,-5,-1,0,1,2,6,6,6,10 | 0.91 | 1 | 6 | 19 |
> Note: All decimals are rounded appropriately (e.g., mean to 2 decimal places unless exact).
Let me know if you'd like this formatted as a printable sheet or need help understanding any step!
Parent Tip: Review the logic above to help your child master the concept of mean median mode worksheets.
