A family of 8 have an average height of 5.2 feet. If half of them have an average height of 4.7 feet, what is the total height of the other half?

To find the total height of the other half of the family, let's start by calculating the total height of all 8 family members.

### Step 1: Calculate the total height of all 8 family members
The average height of the family is given as 5.2 feet. So, the total height of all 8 family members is:
\[
\text{Total height of all 8 members} = 8 \times 5.2 = 41.6 \text{ feet}
\]

### Step 2: Calculate the total height of half the family
Half of the family (which means 4 members) have an average height of 4.7 feet. So, the total height of these 4 members is:
\[
\text{Total height of 4 members} = 4 \times 4.7 = 18.8 \text{ feet}
\]

### Step 3: Calculate the total height of the other half of the family
The total height of the other half of the family is the difference between the total height of all 8 members and the total height of the 4 members with the average height of 4.7 feet:
\[
\text{Total height of the other 4 members} = 41.6 - 18.8 = 22.8 \text{ feet}
\]

So, the total height of the other half of the family is **22.8 feet**.

Would you like more details or have any questions? 

Here are some related questions:

1. How would the average height change if one member of the family grows taller?
2. If the tallest person is removed, how does that affect the average height?
3. What is the total height if each member was 0.5 feet taller?
4. How would the average height be calculated if the family consisted of 10 members?
5. What if the shortest 4 members had an average height of 5.0 feet instead?
6. How does the average change if the height of one person is incorrectly recorded?
7. How would the total height of all family members be calculated if only 7 members were present?
8. Can you calculate the individual heights if the variance among their heights was known?

**Tip:** When working with averages, remember that the total sum is simply the average multiplied by the number of elements. This can make solving related problems more straightforward.

Learn how to calculate the total height of the other half of a family with given average heights. Understand the concept of averages and basic arithmetic. Suitable for students in Grades 5-6.

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