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 mean missing data worksheet step by step. Let me work through each problem carefully.
The formula for finding the mean is:
Mean = Total Sum ÷ Number of Values
So to find a missing value, I can use:
- Total Sum = Mean × Number of Values
- Missing Value = Total Sum - Known Values
Let me calculate each one:
1) 8, 4, __ with Mean = 4
- Total sum needed = 4 × 3 = 12
- Missing value = 12 - (8 + 4) = 12 - 12 = 0
- Answer: 0
2) 5, 7, __ with Mean = 5
- Total sum needed = 5 × 3 = 15
- Missing value = 15 - (5 + 7) = 15 - 12 = 3
- Answer: 3
3) 9, __, 7 with Mean = 8
- Total sum needed = 8 × 3 = 24
- Missing value = 24 - (9 + 7) = 24 - 16 = 8
- Answer: 8
4) 10, 6, __ with Mean = 7
- Total sum needed = 7 × 3 = 21
- Missing value = 21 - (10 + 6) = 21 - 16 = 5
- Answer: 5
5) 7, __, 10 with Mean = 7
- Total sum needed = 7 × 3 = 21
- Missing value = 21 - (7 + 10) = 21 - 17 = 4
- Answer: 4
6) 12, 7, __ with Mean = 10
- Total sum needed = 10 × 3 = 30
- Missing value = 30 - (12 + 7) = 30 - 19 = 11
- Answer: 11
7) 3, __, 5, 12 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (3 + 5 + 12) = 32 - 20 = 12
- Answer: 12
8) 9, 6, __, 4 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (9 + 6 + 4) = 32 - 19 = 13
- Answer: 13
9) 10, __, 8, 11 with Mean = 10
- Total sum needed = 10 × 4 = 40
- Missing value = 40 - (10 + 8 + 11) = 40 - 29 = 11
- Answer: 11
10) 5, 2, __, 11 with Mean = 3
- Total sum needed = 3 × 4 = 12
- Missing value = 12 - (5 + 2 + 11) = 12 - 18 = -6
- Answer: -6
11) 7, 1, 4, __ with Mean = 4
- Total sum needed = 4 × 4 = 16
- Missing value = 16 - (7 + 1 + 4) = 16 - 12 = 4
- Answer: 4
12) 9, __, 8, 11 with Mean = 9
- Total sum needed = 9 × 4 = 36
- Missing value = 36 - (9 + 8 + 11) = 36 - 28 = 8
- Answer: 8
13) 4, 5, __, 3 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (4 + 5 + 3) = 32 - 12 = 20
- Answer: 20
14) 2, 4, 5, __ with Mean = 3
- Total sum needed = 3 × 4 = 12
- Missing value = 12 - (2 + 4 + 5) = 12 - 11 = 1
- Answer: 1
15) 14, 5, __, 2 with Mean = 7
- Total sum needed = 7 × 4 = 28
- Missing value = 28 - (14 + 5 + 2) = 28 - 21 = 7
- Answer: 7
16) 10, __, 7, 11 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (10 + 7 + 11) = 32 - 28 = 4
- Answer: 4
17) 11, 13, __, 9 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (11 + 13 + 9) = 32 - 33 = -1
- Answer: -1
18) 16, __, 8, 10 with Mean = 20
- Total sum needed = 20 × 4 = 80
- Missing value = 80 - (16 + 8 + 10) = 80 - 34 = 46
- Answer: 46
Final Answer:
1) 0
2) 3
3) 8
4) 5
5) 4
6) 11
7) 12
8) 13
9) 11
10) -6
11) 4
12) 8
13) 20
14) 1
15) 7
16) 4
17) -1
18) 46
The formula for finding the mean is:
Mean = Total Sum ÷ Number of Values
So to find a missing value, I can use:
- Total Sum = Mean × Number of Values
- Missing Value = Total Sum - Known Values
Let me calculate each one:
1) 8, 4, __ with Mean = 4
- Total sum needed = 4 × 3 = 12
- Missing value = 12 - (8 + 4) = 12 - 12 = 0
- Answer: 0
2) 5, 7, __ with Mean = 5
- Total sum needed = 5 × 3 = 15
- Missing value = 15 - (5 + 7) = 15 - 12 = 3
- Answer: 3
3) 9, __, 7 with Mean = 8
- Total sum needed = 8 × 3 = 24
- Missing value = 24 - (9 + 7) = 24 - 16 = 8
- Answer: 8
4) 10, 6, __ with Mean = 7
- Total sum needed = 7 × 3 = 21
- Missing value = 21 - (10 + 6) = 21 - 16 = 5
- Answer: 5
5) 7, __, 10 with Mean = 7
- Total sum needed = 7 × 3 = 21
- Missing value = 21 - (7 + 10) = 21 - 17 = 4
- Answer: 4
6) 12, 7, __ with Mean = 10
- Total sum needed = 10 × 3 = 30
- Missing value = 30 - (12 + 7) = 30 - 19 = 11
- Answer: 11
7) 3, __, 5, 12 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (3 + 5 + 12) = 32 - 20 = 12
- Answer: 12
8) 9, 6, __, 4 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (9 + 6 + 4) = 32 - 19 = 13
- Answer: 13
9) 10, __, 8, 11 with Mean = 10
- Total sum needed = 10 × 4 = 40
- Missing value = 40 - (10 + 8 + 11) = 40 - 29 = 11
- Answer: 11
10) 5, 2, __, 11 with Mean = 3
- Total sum needed = 3 × 4 = 12
- Missing value = 12 - (5 + 2 + 11) = 12 - 18 = -6
- Answer: -6
11) 7, 1, 4, __ with Mean = 4
- Total sum needed = 4 × 4 = 16
- Missing value = 16 - (7 + 1 + 4) = 16 - 12 = 4
- Answer: 4
12) 9, __, 8, 11 with Mean = 9
- Total sum needed = 9 × 4 = 36
- Missing value = 36 - (9 + 8 + 11) = 36 - 28 = 8
- Answer: 8
13) 4, 5, __, 3 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (4 + 5 + 3) = 32 - 12 = 20
- Answer: 20
14) 2, 4, 5, __ with Mean = 3
- Total sum needed = 3 × 4 = 12
- Missing value = 12 - (2 + 4 + 5) = 12 - 11 = 1
- Answer: 1
15) 14, 5, __, 2 with Mean = 7
- Total sum needed = 7 × 4 = 28
- Missing value = 28 - (14 + 5 + 2) = 28 - 21 = 7
- Answer: 7
16) 10, __, 7, 11 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (10 + 7 + 11) = 32 - 28 = 4
- Answer: 4
17) 11, 13, __, 9 with Mean = 8
- Total sum needed = 8 × 4 = 32
- Missing value = 32 - (11 + 13 + 9) = 32 - 33 = -1
- Answer: -1
18) 16, __, 8, 10 with Mean = 20
- Total sum needed = 20 × 4 = 80
- Missing value = 80 - (16 + 8 + 10) = 80 - 34 = 46
- Answer: 46
Final Answer:
1) 0
2) 3
3) 8
4) 5
5) 4
6) 11
7) 12
8) 13
9) 11
10) -6
11) 4
12) 8
13) 20
14) 1
15) 7
16) 4
17) -1
18) 46
Parent Tip: Review the logic above to help your child master the concept of find the missing value given the mean worksheet.
