Worksheet for practicing mean, median, mode, and range calculations with eight data sets.

Let's solve each problem step by step. For each data set, we'll find:

- Mean: The average of the numbers.
- Median: The middle number when the data is ordered.
- Mode: The number that appears most frequently.
- Range: The difference between the largest and smallest numbers.

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1) {32, 37, 35, 34, 25, 41, 34}

Order:
{25, 32, 34, 34, 35, 37, 41}

- Mean:
Sum = 25 + 32 + 34 + 34 + 35 + 37 + 41 = 238
Count = 7
Mean = 238 ÷ 7 = 34

- Median:
Middle value (4th in ordered list) = 34

- Mode:
Most frequent number = 34 (appears twice)

- Range:
Max - Min = 41 - 25 = 16

✔ Answer:
Mean: 34, Median: 34, Mode: 34, Range: 16

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2) {102, 107, 99, 102, 111, 95, 91}

Order:
{91, 95, 99, 102, 102, 107, 111}

- Mean:
Sum = 91 + 95 + 99 + 102 + 102 + 107 + 111 = 707
Count = 7
Mean = 707 ÷ 7 = 101

- Median:
Middle value (4th) = 102

- Mode:
Most frequent = 102 (twice)

- Range:
111 - 91 = 20

✔ Answer:
Mean: 101, Median: 102, Mode: 102, Range: 20

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3) {1.5, 2.2, 1.3, 2.8, 2.2}

Order:
{1.3, 1.5, 2.2, 2.2, 2.8}

- Mean:
Sum = 1.3 + 1.5 + 2.2 + 2.2 + 2.8 = 10.0
Count = 5
Mean = 10.0 ÷ 5 = 2.0

- Median:
Middle value (3rd) = 2.2

- Mode:
Most frequent = 2.2 (twice)

- Range:
2.8 - 1.3 = 1.5

✔ Answer:
Mean: 2.0, Median: 2.2, Mode: 2.2, Range: 1.5

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4) {0.3, 0.9, 0.2, 0, 0.8, 0.9, 0.4}

Order:
{0, 0.2, 0.3, 0.4, 0.8, 0.9, 0.9}

- Mean:
Sum = 0 + 0.2 + 0.3 + 0.4 + 0.8 + 0.9 + 0.9 = 3.5
Count = 7
Mean = 3.5 ÷ 7 = 0.5

- Median:
Middle value (4th) = 0.4

- Mode:
Most frequent = 0.9 (twice)

- Range:
0.9 - 0 = 0.9

✔ Answer:
Mean: 0.5, Median: 0.4, Mode: 0.9, Range: 0.9

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5) {126, 128, 107, 113, 120, 126}

Order:
{107, 113, 120, 126, 126, 128}

- Mean:
Sum = 107 + 113 + 120 + 126 + 126 + 128 = 720
Count = 6
Mean = 720 ÷ 6 = 120

- Median:
Even count → average of 3rd and 4th: (120 + 126) ÷ 2 = 123

- Mode:
Most frequent = 126 (twice)

- Range:
128 - 107 = 21

✔ Answer:
Mean: 120, Median: 123, Mode: 126, Range: 21

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6) {5.2, 4.9, 3.8, 3.4, 5.2, 4.5}

Order:
{3.4, 3.8, 4.5, 4.9, 5.2, 5.2}

- Mean:
Sum = 3.4 + 3.8 + 4.5 + 4.9 + 5.2 + 5.2 = 27.0
Count = 6
Mean = 27.0 ÷ 6 = 4.5

- Median:
Average of 3rd and 4th: (4.5 + 4.9) ÷ 2 = 4.7

- Mode:
Most frequent = 5.2 (twice)

- Range:
5.2 - 3.4 = 1.8

✔ Answer:
Mean: 4.5, Median: 4.7, Mode: 5.2, Range: 1.8

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7) {0.24, 0.5, 0.09, 0.73, 0.24}

Order:
{0.09, 0.24, 0.24, 0.5, 0.73}

- Mean:
Sum = 0.09 + 0.24 + 0.24 + 0.5 + 0.73 = 1.80
Count = 5
Mean = 1.80 ÷ 5 = 0.36

- Median:
Middle value (3rd) = 0.24

- Mode:
Most frequent = 0.24 (twice)

- Range:
0.73 - 0.09 = 0.64

✔ Answer:
Mean: 0.36, Median: 0.24, Mode: 0.24, Range: 0.64

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8) {2.9, 4.3, 3.5, 5.8, 2.9, 4.6}

Order:
{2.9, 2.9, 3.5, 4.3, 4.6, 5.8}

- Mean:
Sum = 2.9 + 2.9 + 3.5 + 4.3 + 4.6 + 5.8 = 24.0
Count = 6
Mean = 24.0 ÷ 6 = 4.0

- Median:
Average of 3rd and 4th: (3.5 + 4.3) ÷ 2 = 3.9

- Mode:
Most frequent = 2.9 (twice)

- Range:
5.8 - 2.9 = 2.9

✔ Answer:
Mean: 4.0, Median: 3.9, Mode: 2.9, Range: 2.9

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✔ Final Answers Summary:

| Problem | Mean | Median | Mode | Range |
|--------|------|--------|------|-------|
| 1) | 34 | 34 | 34 | 16 |
| 2) | 101 | 102 | 102 | 20 |
| 3) | 2.0 | 2.2 | 2.2 | 1.5 |
| 4) | 0.5 | 0.4 | 0.9 | 0.9 |
| 5) | 120 | 123 | 126 | 21 |
| 6) | 4.5 | 4.7 | 5.2 | 1.8 |
| 7) | 0.36 | 0.24 | 0.24 | 0.64 |
| 8) | 4.0 | 3.9 | 2.9 | 2.9 |

Let me know if you'd like this filled into the worksheet format!