To find the mean (average) of a set of numbers, you follow two simple steps:
1.
Add all the numbers together to get the sum.
2.
Divide that sum by the count of how many numbers there are.
Here are the step-by-step calculations for each problem on the worksheet:
1. Data set: 6, 9, 10, 19, 16
* Sum: $6 + 9 + 10 + 19 + 16 = 60$
* Count: 5 numbers
* Mean: $60 \div 5 = 12$
2. Data set: 4, 5, 5, 4, 2
* Sum: $4 + 5 + 5 + 4 + 2 = 20$
* Count: 5 numbers
* Mean: $20 \div 5 = 4$
3. Data set: 7, 4, 2, 5, 9, 9
* Sum: $7 + 4 + 2 + 5 + 9 + 9 = 36$
* Count: 6 numbers
* Mean: $36 \div 6 = 6$
4. Data set: 7, 8, 1, 5, 1, 2
* Sum: $7 + 8 + 1 + 5 + 1 + 2 = 24$
* Count: 6 numbers
* Mean: $24 \div 6 = 4$
5. Data set: 9, 14, 14, 8, 20
* Sum: $9 + 14 + 14 + 8 + 20 = 65$
* Count: 5 numbers
* Mean: $65 \div 5 = 13$
6. Data set: 8, 4, 4, 9, 6, 2, 9
* Sum: $8 + 4 + 4 + 9 + 6 + 2 + 9 = 42$
* Count: 7 numbers
* Mean: $42 \div 7 = 6$
7. Data set: 17, 14, 20, 7, 20, 6
* Sum: $17 + 14 + 20 + 7 + 20 + 6 = 84$
* Count: 6 numbers
* Mean: $84 \div 6 = 14$
8. Data set: 7, 1, 3, 3, 1, 9
* Sum: $7 + 1 + 3 + 3 + 1 + 9 = 24$
* Count: 6 numbers
* Mean: $24 \div 6 = 4$
9. Data set: 7, 1, 3, 3, 1, 9
*(Note: This is the same data set as #8)*
* Sum: $7 + 1 + 3 + 3 + 1 + 9 = 24$
* Count: 6 numbers
* Mean: $24 \div 6 = 4$
10. Data set: 9, 6, 2, 3, 5
* Sum: $9 + 6 + 2 + 3 + 5 = 25$
* Count: 5 numbers
* Mean: $25 \div 5 = 5$
Final Answer:
Left Column:
1. Mean = 12
2. Mean = 6
3. Mean = 13
4. Mean = 14
5. Mean = 4
Right Column:
1. Mean = 4
2. Mean = 4
3. Mean = 6
4. Mean = 4
5. Mean = 5
Parent Tip: Review the logic above to help your child master the concept of worksheet on finding mean in math.