Version 1: Simple Exercise - “Family Age Calculation”
Objective: Practice calculating the average age of family members.
Instructions:
1. Gather information about the ages of family members, including parents, siblings, and yourself. Ensure you have at least three family members to work with.
2. Write down the ages of each family member in a list.
3. Calculate the sum of all the ages in the list.
4. Divide the sum by the total number of family members to find the average age.
5. Write down the final result as the answer to the exercise.
Example:
Let’s consider a family with the following ages:
- Father: 40 years old
- Mother: 38 years old
- You: 15 years old
- List of ages: [40, 38, 15]
- Sum of ages: 40 + 38 + 15 = 93
- Average age: 93 / 3 = 31
Answer: The average age of the family members is 31 years.
Version 2: Same Exercise - “Family Age Calculation”
Objective: Practice calculating the average age of family members and performing arithmetic operations.
Instructions:
1. Gather information about the ages of family members, including parents, siblings, and yourself. Ensure you have at least four family members to work with.
2. Write down the ages of each family member in a list.
3. Calculate the sum of all the ages in the list.
4. Divide the sum by the total number of family members to find the average age.
5. Now, imagine that each family member’s age increases by 5 years.
6. Recalculate the sum and average age using the updated ages.
7. Finally, subtract the average age before the increase from the average age after the increase.
8. Write down the final result as the answer to the exercise.
Example:
Let’s consider a family with the following ages:
- Father: 40 years old
- Mother: 38 years old
- Older sibling: 18 years old
- You: 15 years old
- List of ages: [40, 38, 18, 15]
- Sum of ages: 40 + 38 + 18 + 15 = 111
- Average age: 111 / 4 = 27.75
- Increased ages: [45, 43, 23, 20]
- Sum of increased ages: 45 + 43 + 23 + 20 = 131
- Average age after increase: 131 / 4 = 32.75
- Difference in average ages: 32.75 - 27.75 = 5
Answer: The difference in average ages before and after the increase is 5 years.
Version 3: Complex Exercise - “Family Age Calculation”
Objective: Practice calculating the average age of family members, performing arithmetic operations, and analyzing the results.
Instructions:
1. Gather information about the ages of family members, including parents, siblings, and yourself. Ensure you have at least five family members to work with.
2. Write down the ages of each family member in a list.
3. Calculate the sum of all the ages in the list.
4. Divide the sum by the total number of family members to find the average age.
5. Now, imagine that each family member’s age increases by 10 years.
6. Recalculate the sum and average age using the updated ages.
7. Calculate the difference between the average age before and after the increase.
8. Multiply the average age after the increase by 2.
9. Subtract the average age before the increase from the doubled average age after the increase.
10. Write down the final result as the answer to the exercise.
Example:
Let’s consider a family with the following ages:
- Father: 45 years old
- Mother: 42 years old
- Older sibling: 20 years old
- Younger sibling: 16 years old
- You: 18 years old
- List of ages: [45, 42, 20, 16, 18]
- Sum of ages: 45 + 42 + 20 + 16 + 18 = 141
- Average age: 141 / 5 = 28.2
- Increased ages: [55, 52, 30, 26, 28]
- Sum of increased ages: 55 + 52 + 30 + 26 + 28 = 191
- Average age after increase: 191 / 5 = 38.2
- Difference in average ages: 38.2 - 28.2 = 10
- Doubled average age after increase: 38.2 * 2 = 76.4
- Difference between doubled average age and average age before increase: 76.4 - 28.2 = 48.2
Answer: The difference between the doubled average age after the increase and the average age before the increase is 48.2 years.