Printable math worksheet for practicing mean, median, mode, and range calculations with eight data sets.

Let's solve each problem step by step. For each set of data, we will:

1. Order the numbers from smallest to largest.
2. Find the Mean (average): sum of all values divided by number of values.
3. Find the Median: middle value when ordered (or average of two middle values if even count).
4. Find the Mode: most frequent value(s). If no repeats, there is no mode.
5. Find the Range: difference between largest and smallest values.

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Problem 1:

Data: 32, 37, 35, 34, 29, 41, 34

#### Step 1: Order
29, 32, 34, 34, 35, 37, 41

#### Step 2: Mean
Sum = 29 + 32 + 34 + 34 + 35 + 37 + 41 = 242
Count = 7
Mean = 242 ÷ 7 ≈ 34.57

#### Step 3: Median
Middle value (7th number) → 34

#### Step 4: Mode
34 appears twice → 34

#### Step 5: Range
Max = 41, Min = 29 → Range = 41 - 29 = 12

✔ Answer:
- Order: 29, 32, 34, 34, 35, 37, 41
- Mean: 34.57
- Median: 34
- Mode: 34
- Range: 12

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Problem 2:

Data: 102, 107, 99, 102, 109, 95, 91

#### Step 1: Order
91, 95, 99, 102, 102, 107, 109

#### Step 2: Mean
Sum = 91 + 95 + 99 + 102 + 102 + 107 + 109 = 705
Count = 7
Mean = 705 ÷ 7 ≈ 100.71

#### Step 3: Median
Middle value → 102

#### Step 4: Mode
102 appears twice → 102

#### Step 5: Range
Max = 109, Min = 91 → Range = 109 - 91 = 18

✔ Answer:
- Order: 91, 95, 99, 102, 102, 107, 109
- Mean: 100.71
- Median: 102
- Mode: 102
- Range: 18

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Problem 3:

Data: 0.3, 0.9, 0.2, 0, 0.7, 0.9, 0.4

#### Step 1: Order
0, 0.2, 0.3, 0.4, 0.7, 0.9, 0.9

#### Step 2: Mean
Sum = 0 + 0.2 + 0.3 + 0.4 + 0.7 + 0.9 + 0.9 = 3.4
Count = 7
Mean = 3.4 ÷ 7 ≈ 0.4857

#### Step 3: Median
Middle value → 0.4

#### Step 4: Mode
0.9 appears twice → 0.9

#### Step 5: Range
Max = 0.9, Min = 0 → Range = 0.9 - 0 = 0.9

✔ Answer:
- Order: 0, 0.2, 0.3, 0.4, 0.7, 0.9, 0.9
- Mean: 0.4857
- Median: 0.4
- Mode: 0.9
- Range: 0.9

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Problem 4:

Data: 0.3, 0.9, 0.2, 0, 0.7, 0.9, 0.4

Wait — this is identical to Problem 3! Let's double-check.

Yes, it's the same as #3.

✔ So same answer:
- Order: 0, 0.2, 0.3, 0.4, 0.7, 0.9, 0.9
- Mean: 0.4857
- Median: 0.4
- Mode: 0.9
- Range: 0.9

(But likely a typo in worksheet – probably meant different data.)

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Problem 5:

Data: 116, 128, 105, 113, 116, 126

#### Step 1: Order
105, 113, 116, 116, 126, 128

#### Step 2: Mean
Sum = 105 + 113 + 116 + 116 + 126 + 128 = 704
Count = 6
Mean = 704 ÷ 6 ≈ 117.33

#### Step 3: Median
Even count → average of 3rd and 4th: (116 + 116)/2 = 116

#### Step 4: Mode
116 appears twice → 116

#### Step 5: Range
Max = 128, Min = 105 → Range = 128 - 105 = 23

✔ Answer:
- Order: 105, 113, 116, 116, 126, 128
- Mean: 117.33
- Median: 116
- Mode: 116
- Range: 23

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Problem 6:

Data: 5.2, 4.6, 3.8, 3.4, 5.2, 4.5

#### Step 1: Order
3.4, 3.8, 4.5, 4.6, 5.2, 5.2

#### Step 2: Mean
Sum = 3.4 + 3.8 + 4.5 + 4.6 + 5.2 + 5.2 = 27.7
Count = 6
Mean = 27.7 ÷ 6 ≈ 4.62

#### Step 3: Median
Average of 3rd and 4th: (4.5 + 4.6)/2 = 4.55

#### Step 4: Mode
5.2 appears twice → 5.2

#### Step 5: Range
Max = 5.2, Min = 3.4 → Range = 5.2 - 3.4 = 1.8

✔ Answer:
- Order: 3.4, 3.8, 4.5, 4.6, 5.2, 5.2
- Mean: 4.62
- Median: 4.55
- Mode: 5.2
- Range: 1.8

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Problem 7:

Data: 0.24, 0.5, 0.12, 0.73, 0.24

#### Step 1: Order
0.12, 0.24, 0.24, 0.5, 0.73

#### Step 2: Mean
Sum = 0.12 + 0.24 + 0.24 + 0.5 + 0.73 = 1.83
Count = 5
Mean = 1.83 ÷ 5 = 0.366

#### Step 3: Median
Middle value (3rd) → 0.24

#### Step 4: Mode
0.24 appears twice → 0.24

#### Step 5: Range
Max = 0.73, Min = 0.12 → Range = 0.73 - 0.12 = 0.61

✔ Answer:
- Order: 0.12, 0.24, 0.24, 0.5, 0.73
- Mean: 0.366
- Median: 0.24
- Mode: 0.24
- Range: 0.61

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Problem 8:

Data: 2.9, 4.2, 3.5, 5.8, 2.9, 4.7

#### Step 1: Order
2.9, 2.9, 3.5, 4.2, 4.7, 5.8

#### Step 2: Mean
Sum = 2.9 + 2.9 + 3.5 + 4.2 + 4.7 + 5.8 = 24.0
Count = 6
Mean = 24.0 ÷ 6 = 4.0

#### Step 3: Median
Average of 3rd and 4th: (3.5 + 4.2)/2 = 3.85

#### Step 4: Mode
2.9 appears twice → 2.9

#### Step 5: Range
Max = 5.8, Min = 2.9 → Range = 5.8 - 2.9 = 2.9

✔ Answer:
- Order: 2.9, 2.9, 3.5, 4.2, 4.7, 5.8
- Mean: 4.0
- Median: 3.85
- Mode: 2.9
- Range: 2.9

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## ✔ Final Answers Summary:

| # | Ordered Data | Mean | Median | Mode | Range |
|---|--------------|------------|--------|--------|-------|
| 1 | 29,32,34,34,35,37,41 | 34.57 | 34 | 34 | 12 |
| 2 | 91,95,99,102,102,107,109 | 100.71 | 102 | 102 | 18 |
| 3 | 0,0.2,0.3,0.4,0.7,0.9,0.9 | 0.4857 | 0.4 | 0.9 | 0.9 |
| 4 | Same as #3 → see above | 0.4857 | 0.4 | 0.9 | 0.9 |
| 5 | 105,113,116,116,126,128 | 117.33 | 116 | 116 | 23 |
| 6 | 3.4,3.8,4.5,4.6,5.2,5.2 | 4.62 | 4.55 | 5.2 | 1.8 |
| 7 | 0.12,0.24,0.24,0.5,0.73 | 0.366 | 0.24 | 0.24 | 0.61 |
| 8 | 2.9,2.9,3.5,4.2,4.7,5.8 | 4.0 | 3.85 | 2.9 | 2.9 |

> 🔍 Note: Problem 4 appears to be a duplicate of Problem 3. Possibly a mistake on the sheet.

Let me know if you'd like this formatted into a printable table or need help filling out the worksheet!