The height of 7 members of a family are 34 cm, 54 cm, 70 cm, 32 cm, 44 cm, 40 cm and 41 cm. Find the average height of the family.

Options

A. 44 cm
B. 40 cm
C. 45 cm
D. 47 cm

Answer

To find the average height of the family members, we will follow these steps:

### Step 1: List the heights of the family members.
The heights given are:
- 34 cm
- 54 cm
- 70 cm
- 32 cm
- 44 cm
- 40 cm
- 41 cm

### Step 2: Calculate the sum of the heights.
We will add all the heights together:
\[ 34 + 54 + 70 + 32 + 44 + 40 + 41 \]

Calculating this step-by-step:
1. \( 34 + 54 = 88 \)
2. \( 88 + 70 = 158 \)
3. \( 158 + 32 = 190 \)
4. \( 190 + 44 = 234 \)
5. \( 234 + 40 = 274 \)
6. \( 274 + 41 = 315 \)

So, the total sum of the heights is \( 315 \) cm.

### Step 3: Count the number of family members.
The number of family members is \( 7 \).

### Step 4: Calculate the average height.
The average height is calculated by dividing the total sum of the heights by the number of family members:
\[ \text{Average height} = \frac{\text{Total height}}{\text{Number of members}} = \frac{315 \text{ cm}}{7} \]

Calculating this:
\[ \frac{315}{7} = 45 \text{ cm} \]

### Conclusion
The average height of the family is \( 45 \) cm.

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