Following are the number of members in 20 families of the smallest size? 6,8,6,3,2,5,7,8,6,5,5,7,7,8,6,6,7,7,6,5
Find the average familiy size.

Answer

To find the average family size from the given data, we will follow these steps:

### Step 1: Write down the data
We have the number of members in 20 families as follows:
6, 8, 6, 3, 2, 5, 7, 8, 6, 5, 5, 7, 7, 8, 6, 6, 7, 7, 6, 5

### Step 2: Calculate the sum of all family members
We will add all the numbers together:
- 6 + 8 + 6 + 3 + 2 + 5 + 7 + 8 + 6 + 5 + 5 + 7 + 7 + 8 + 6 + 6 + 7 + 7 + 6 + 5

Calculating step-by-step:
- 6 + 8 = 14
- 14 + 6 = 20
- 20 + 3 = 23
- 23 + 2 = 25
- 25 + 5 = 30
- 30 + 7 = 37
- 37 + 8 = 45
- 45 + 6 = 51
- 51 + 5 = 56
- 56 + 5 = 61
- 61 + 7 = 68
- 68 + 7 = 75
- 75 + 8 = 83
- 83 + 6 = 89
- 89 + 6 = 95
- 95 + 7 = 102
- 102 + 7 = 109
- 109 + 6 = 115
- 115 + 5 = 120

So, the total sum of the family members is **120**.

### Step 3: Count the total number of families
The total number of families is given as **20**.

### Step 4: Calculate the average family size
The formula for average is:
\[ \text{Average} = \frac{\text{Sum of all values}}{\text{Total number of values}} \]
Substituting the values we found:
\[ \text{Average} = \frac{120}{20} = 6 \]

### Conclusion
The average family size is **6**.

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