Question

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

Answer 1

2
3
and 5

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Answer 2

Answer:

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.