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**Answer:**

The correct options are:

- Four families said they ate out twice the previous week.
- One family said they ate out 5 times the previous week.
- The median best represents the data set.

**Step-by-step explanation:**

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner Number of families

0 2

1 3

2 4

3 1

4 2

5 1

6 1

- Hence, the range of the number line is between 0 to 6.

- Also there are 4 dots above 2.

Hence, Four families said they ate out twice the previous week.

- Also there is one dot above 5.

Hence, One family said they ate out 5 times the previous week.

- The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

- Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

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