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

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\ncreate a dot - plot to represent the data. what can you conclude about the dot plot of the data set? select the three best answers.\nthe range of the number line should be 0 to 7 to represent the frequency.\nfour families said they ate out twice the previous week.\none family said they ate out 5 times the previous week.\nthe data set is symmetrical.\nthe median best represents the data set.\nnumber of dinners out

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\ncreate a dot - plot to represent the data. what can you conclude about the dot plot of the data set? select the three best answers.\nthe range of the number line should be 0 to 7 to represent the frequency.\nfour families said they ate out twice the previous week.\none family said they ate out 5 times the previous week.\nthe data set is symmetrical.\nthe median best represents the data set.\nnumber of dinners out

Answer

Explanation:

Step1: Analyze the 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 the number of dinners out should be 0 to 6 (not 0 to 7 for frequency).

Step2: Count the frequency of each value

Count the number of times each value appears. For 0, it appears 2 times; for 1, it appears 4 times; for 2, it appears 4 times; for 3, it appears 1 time; for 4, it appears 2 times; for 5, it appears 1 time; for 6, it appears 1 time. So four families said they ate out twice the previous week and one family said they ate out 5 times the previous week.

Step3: Check symmetry and central - tendency

The data set is not symmetrical. To find the median, first order the data: 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 6. There are 15 data points. The median is the 8th value, which is 2. Since the data has some outliers (like 5 and 6) and is not symmetric, the median best represents the data set.

Answer:

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.