Following are the number of members in 20 families of the smallest size? 6,8,3,2,5,7,8,6,5,5,7,7,8,6,6,2,7,6,5,3
What is the mode of the data given?

Answer

To find the mode of the given data set, we will follow these steps:

### Step 1: List the Data
We have the following data representing the number of members in 20 families:
6, 8, 3, 2, 5, 7, 8, 6, 5, 5, 7, 7, 8, 6, 6, 2, 7, 6, 5, 3

### Step 2: Create a Frequency Table
We will create a frequency table to count how many times each number appears in the data set.

| Number | Frequency |
|--------|-----------|
| 2 | 2 |
| 3 | 2 |
| 5 | 4 |
| 6 | 5 |
| 7 | 4 |
| 8 | 3 |

### Step 3: Identify the Mode
The mode is the number that appears most frequently in the data set. From our frequency table:
- The number 2 appears 2 times.
- The number 3 appears 2 times.
- The number 5 appears 4 times.
- The number 6 appears 5 times.
- The number 7 appears 4 times.
- The number 8 appears 3 times.

The highest frequency is 5, which corresponds to the number 6.

### Conclusion
The mode of the given data is **6**.

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