The data set shown below represents the number of times some families went out for dinner the previous week.

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

The correct options are:

Four families said that they went out for dinner twice the previous  week.one family said that they ate out 5 times the previous week.The median best represents the data set.Step-by-step explanation:

Based on the data we make a frequency table as follows:

Number of times                   Frequency

family went for dinner

      0                                           2

       1                                           3

       2                                          4

       3                                           1

       4                                           2

       5                                           1

       6                                           1    

  The range of the number line should be from 0 to 6 to represent the frequency.Also, as the frequency corresponding to 2 is 4.

      Hence, 4 families said that they went out for dinner twice the     previous  week.

As the frequency corresponding to 5 is 1.

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

The data is not symmetrical since there is no such point about which the data is symmetric.Also, we know that the median is the central tendency of the data and best represent the data.

Tye answer is
20/28 = 5/7