Question

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. create a dot plot to represent the data. what can you conclude about the dot plot of the data set? select the three best answers. the range of the number line should be 0 to 7 to represent the frequency. four families said they ate out twice the previous week. one family said they ate out 5 times the previous week. the data set is symmetrical. the median best represents the data set.

Explanation:

Step1: Analyze data range

The data set is 4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1. The minimum value is 0 and the maximum value is 6. So the range of the number - line for frequency should be 0 to 6 (not 0 to 7), so the first option is incorrect.

Step2: Count frequency of 2

Count the number of 2s in the data - set. There are 4 values of 2. So four families said they ate out twice the previous week.

Step3: Check for value of 5

There is one 5 in the data - set. So one family said they ate out 5 times the previous week.

Step4: Check symmetry

The data set 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 6 is not symmetric.

Step5: Consider measure of central tendency

The data set has some outliers (like 5 and 6), so the median is a better measure of central tendency than the mean.

Answer:

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