Mean Median Mode Range Worksheets - Math Monks - Free Printable

Sure! Let’s solve each problem step by step. For each data set, we’ll calculate the mean, median, mode, and range.

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📌 Definitions:

- Mean = Sum of all numbers ÷ Count of numbers
- Median = Middle number when data is ordered (if even count, average of two middle numbers)
- Mode = Number(s) that appear most frequently
- Range = Largest number – Smallest number

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## 🔢 Problem 1:
Data: 61, 57, 49, 60, 45, 51, 57, 60, 53, 57, 55, 48, 65, 52
*(14 numbers)*

✔ Order the data:
45, 48, 49, 51, 52, 53, 55, 57, 57, 57, 60, 60, 61, 65

✔ Mean:
Sum = 45+48+49+51+52+53+55+57+57+57+60+60+61+65 = 770
Mean = 770 ÷ 14 = 55

✔ Median:
Even number of data points → average of 7th and 8th values
7th = 55, 8th = 57 → Median = (55 + 57)/2 = 56

✔ Mode:
57 appears 3 times (most frequent) → 57

✔ Range:
Max = 65, Min = 45 → Range = 65 - 45 = 20

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## 🔢 Problem 2:
Data: 129, 113, 110, 123, 112, 115, 110, 124, 121, 113, 115, 121, 115
*(13 numbers)*

✔ Order the data:
110, 110, 112, 113, 113, 115, 115, 115, 121, 121, 123, 124, 129

✔ Mean:
Sum = 110+110+112+113+113+115+115+115+121+121+123+124+129 = 1511
Mean = 1511 ÷ 13 ≈ 116.23 (rounded to 2 decimals)

✔ Median:
Odd number → 7th value = 115

✔ Mode:
115 appears 3 times → 115

✔ Range:
Max = 129, Min = 110 → Range = 129 - 110 = 19

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## 🔢 Problem 3:
Data: 14, 7, 4, 8, 12, 4, 2, 9, 7, 11, 15, 12, 11, 11, 8, 11, 7
*(17 numbers)*

✔ Order the data:
2, 4, 4, 7, 7, 7, 8, 8, 9, 11, 11, 11, 11, 12, 12, 14, 15

✔ Mean:
Sum = 2+4+4+7+7+7+8+8+9+11+11+11+11+12+12+14+15 = 160
Mean = 160 ÷ 17 ≈ 9.41

✔ Median:
Odd number → 9th value = 9

✔ Mode:
11 appears 4 times → 11

✔ Range:
Max = 15, Min = 2 → Range = 15 - 2 = 13

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## 🔢 Problem 4:
Data: 83, 77, 81, 79, 85, 77, 76, 72, 87, 81, 83, 77, 91, 81, 77
*(15 numbers)*

✔ Order the data:
72, 76, 77, 77, 77, 77, 79, 81, 81, 81, 83, 83, 85, 87, 91

✔ Mean:
Sum = 72+76+77+77+77+77+79+81+81+81+83+83+85+87+91 = 1194
Mean = 1194 ÷ 15 = 79.6

✔ Median:
Odd number → 8th value = 81

✔ Mode:
77 appears 4 times → 77

✔ Range:
Max = 91, Min = 72 → Range = 91 - 72 = 19

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## 🔢 Problem 5:
Data: 0.7, 0.2, 0.9, 1.2, 1.5, 0.4, 0.6, 0.2, 1.1, 0.3, 0.7, 0.2, 1.1
*(13 numbers)*

✔ Order the data:
0.2, 0.2, 0.2, 0.3, 0.4, 0.6, 0.7, 0.7, 0.9, 1.1, 1.1, 1.2, 1.5

✔ Mean:
Sum = 0.2+0.2+0.2+0.3+0.4+0.6+0.7+0.7+0.9+1.1+1.1+1.2+1.5 = 9.1
Mean = 9.1 ÷ 13 ≈ 0.70

✔ Median:
Odd number → 7th value = 0.7

✔ Mode:
0.2 appears 3 times → 0.2

✔ Range:
Max = 1.5, Min = 0.2 → Range = 1.5 - 0.2 = 1.3

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## 🔢 Problem 6:
Data: 6.2, 5.6, 4.9, 5.1, 6.2, 5.7, 5.1, 4.7, 5.4, 6.2, 4.5, 6.4
*(12 numbers)*

✔ Order the data:
4.5, 4.7, 4.9, 5.1, 5.1, 5.4, 5.6, 5.7, 6.2, 6.2, 6.2, 6.4

✔ Mean:
Sum = 4.5+4.7+4.9+5.1+5.1+5.4+5.6+5.7+6.2+6.2+6.2+6.4 = 66.0
Mean = 66.0 ÷ 12 = 5.5

✔ Median:
Even number → average of 6th and 7th values
6th = 5.4, 7th = 5.6 → Median = (5.4 + 5.6)/2 = 5.5

✔ Mode:
6.2 appears 3 times → 6.2

✔ Range:
Max = 6.4, Min = 4.5 → Range = 6.4 - 4.5 = 1.9

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## ✔ Final Answers Summary:

| Problem | Mean | Median | Mode | Range |
|---------|----------|--------|-------|-------|
| 1 | 55 | 56 | 57 | 20 |
| 2 | 116.23 | 115 | 115 | 19 |
| 3 | 9.41 | 9 | 11 | 13 |
| 4 | 79.6 | 81 | 77 | 19 |
| 5 | 0.70 | 0.7 | 0.2 | 1.3 |
| 6 | 5.5 | 5.5 | 6.2 | 1.9 |

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Let me know if you’d like this in a printable format or need help with more problems! 😊