Mean Worksheets - Free Printable
Educational worksheet: Mean Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Mean Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Mean Worksheets
I'll solve this step by step, working through each problem to find the missing data points.
Understanding the method:
- The mean is given
- Multiply mean × number of values = Actual Total
- Add up the known values = Total so far
- Subtract: Actual Total - Total so far = Missing value
Let me work through each problem:
1) {6, 4, ___}, Mean = 4
- Already solved: 4 × 3 = 12, 6 + 4 = 10, Missing = 12 - 10 = 2 ✓
2) {5, 7, ___}, Mean = 5
- Actual Total: 5 × 3 = 15
- Total so far: 5 + 7 = 12
- Missing: 15 - 12 = 3
3) {2, ___, 7}, Mean = 3
- Actual Total: 3 × 3 = 9
- Total so far: 2 + 7 = 9
- Missing: 9 - 9 = 0
4) {10, ___, 3}, Mean = 6
- Actual Total: 6 × 3 = 18
- Total so far: 10 + 3 = 13
- Missing: 18 - 13 = 5
5) {7, ___, 10}, Mean = 7
- Actual Total: 7 × 3 = 21
- Total so far: 7 + 10 = 17
- Missing: 21 - 17 = 4
6) {12, 7, ___}, Mean = 10
- Actual Total: 10 × 3 = 30
- Total so far: 12 + 7 = 19
- Missing: 30 - 19 = 11
7) {___, 3, 15}, Mean = 6
- Actual Total: 6 × 3 = 18
- Total so far: 3 + 15 = 18
- Missing: 18 - 18 = 0
8) {6, ___, 4}, Mean = 8
- Actual Total: 8 × 3 = 24
- Total so far: 6 + 4 = 10
- Missing: 24 - 10 = 14
9) {20, ___, 15}, Mean = 20
- Actual Total: 20 × 3 = 60
- Total so far: 20 + 15 = 35
- Missing: 60 - 35 = 25
10) {5, 2, ___, 3}, Mean = 3
- Already solved: 3 × 4 = 12
- Total so far: 5 + 2 + 3 = 10
- Missing: 12 - 10 = 2
11) {___, 7, 1, 4}, Mean = 4
- Actual Total: 4 × 4 = 16
- Total so far: 7 + 1 + 4 = 12
- Missing: 16 - 12 = 4
12) {6, ___, 1, 3}, Mean = 5
- Actual Total: 5 × 4 = 20
- Total so far: 6 + 1 + 3 = 10
- Missing: 20 - 10 = 10
13) {8, 6, ___, 2}, Mean = 6
- Actual Total: 6 × 4 = 24
- Total so far: 8 + 6 + 2 = 16
- Missing: 24 - 16 = 8
14) {___, 4, 2, 5}, Mean = 3
- Actual Total: 3 × 4 = 12
- Total so far: 4 + 2 + 5 = 11
- Missing: 12 - 11 = 1
15) {14, 5, ___, 7}, Mean = 7
- Actual Total: 7 × 4 = 28
- Total so far: 14 + 5 + 7 = 26
- Missing: 28 - 26 = 2
16) {10, ___, 7, 12}, Mean = 8
- Actual Total: 8 × 4 = 32
- Total so far: 10 + 7 + 12 = 29
- Missing: 32 - 29 = 3
17) {4, 13, ___, 5, 9}, Mean = 8
- Actual Total: 8 × 5 = 40
- Total so far: 4 + 13 + 5 + 9 = 31
- Missing: 40 - 31 = 9
18) {50, ___, 80, 20}, Mean = 70
- Actual Total: 70 × 4 = 280
- Total so far: 50 + 80 + 20 = 150
- Missing: 280 - 150 = 130
Let me verify a few key calculations:
- #18: 70 × 4 = 280, and 50 + 130 + 80 + 20 = 280 ✓
- #17: 8 × 5 = 40, and 4 + 13 + 9 + 5 + 9 = 40 ✓
- #16: 8 × 4 = 32, and 10 + 3 + 7 + 12 = 32 ✓
Final Answer:
1) 2
2) 3
3) 0
4) 5
5) 4
6) 11
7) 0
8) 14
9) 25
10) 2
11) 4
12) 10
13) 8
14) 1
15) 2
16) 3
17) 9
18) 130
Understanding the method:
- The mean is given
- Multiply mean × number of values = Actual Total
- Add up the known values = Total so far
- Subtract: Actual Total - Total so far = Missing value
Let me work through each problem:
1) {6, 4, ___}, Mean = 4
- Already solved: 4 × 3 = 12, 6 + 4 = 10, Missing = 12 - 10 = 2 ✓
2) {5, 7, ___}, Mean = 5
- Actual Total: 5 × 3 = 15
- Total so far: 5 + 7 = 12
- Missing: 15 - 12 = 3
3) {2, ___, 7}, Mean = 3
- Actual Total: 3 × 3 = 9
- Total so far: 2 + 7 = 9
- Missing: 9 - 9 = 0
4) {10, ___, 3}, Mean = 6
- Actual Total: 6 × 3 = 18
- Total so far: 10 + 3 = 13
- Missing: 18 - 13 = 5
5) {7, ___, 10}, Mean = 7
- Actual Total: 7 × 3 = 21
- Total so far: 7 + 10 = 17
- Missing: 21 - 17 = 4
6) {12, 7, ___}, Mean = 10
- Actual Total: 10 × 3 = 30
- Total so far: 12 + 7 = 19
- Missing: 30 - 19 = 11
7) {___, 3, 15}, Mean = 6
- Actual Total: 6 × 3 = 18
- Total so far: 3 + 15 = 18
- Missing: 18 - 18 = 0
8) {6, ___, 4}, Mean = 8
- Actual Total: 8 × 3 = 24
- Total so far: 6 + 4 = 10
- Missing: 24 - 10 = 14
9) {20, ___, 15}, Mean = 20
- Actual Total: 20 × 3 = 60
- Total so far: 20 + 15 = 35
- Missing: 60 - 35 = 25
10) {5, 2, ___, 3}, Mean = 3
- Already solved: 3 × 4 = 12
- Total so far: 5 + 2 + 3 = 10
- Missing: 12 - 10 = 2
11) {___, 7, 1, 4}, Mean = 4
- Actual Total: 4 × 4 = 16
- Total so far: 7 + 1 + 4 = 12
- Missing: 16 - 12 = 4
12) {6, ___, 1, 3}, Mean = 5
- Actual Total: 5 × 4 = 20
- Total so far: 6 + 1 + 3 = 10
- Missing: 20 - 10 = 10
13) {8, 6, ___, 2}, Mean = 6
- Actual Total: 6 × 4 = 24
- Total so far: 8 + 6 + 2 = 16
- Missing: 24 - 16 = 8
14) {___, 4, 2, 5}, Mean = 3
- Actual Total: 3 × 4 = 12
- Total so far: 4 + 2 + 5 = 11
- Missing: 12 - 11 = 1
15) {14, 5, ___, 7}, Mean = 7
- Actual Total: 7 × 4 = 28
- Total so far: 14 + 5 + 7 = 26
- Missing: 28 - 26 = 2
16) {10, ___, 7, 12}, Mean = 8
- Actual Total: 8 × 4 = 32
- Total so far: 10 + 7 + 12 = 29
- Missing: 32 - 29 = 3
17) {4, 13, ___, 5, 9}, Mean = 8
- Actual Total: 8 × 5 = 40
- Total so far: 4 + 13 + 5 + 9 = 31
- Missing: 40 - 31 = 9
18) {50, ___, 80, 20}, Mean = 70
- Actual Total: 70 × 4 = 280
- Total so far: 50 + 80 + 20 = 150
- Missing: 280 - 150 = 130
Let me verify a few key calculations:
- #18: 70 × 4 = 280, and 50 + 130 + 80 + 20 = 280 ✓
- #17: 8 × 5 = 40, and 4 + 13 + 9 + 5 + 9 = 40 ✓
- #16: 8 × 4 = 32, and 10 + 3 + 7 + 12 = 32 ✓
Final Answer:
1) 2
2) 3
3) 0
4) 5
5) 4
6) 11
7) 0
8) 14
9) 25
10) 2
11) 4
12) 10
13) 8
14) 1
15) 2
16) 3
17) 9
18) 130
Parent Tip: Review the logic above to help your child master the concept of finding the mean worksheet.