Question

creating a dot plot
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
number of dinners out
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: Organize the data set

Sort the data: $0, 0, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6$

Step2: Check range validity

Min value = 0, max value = 6. A 0-7 range covers all data.

Step3: Count frequency of 2

Count of 2s in sorted data: 3, not 4.

Step4: Count frequency of 5

Count of 5s in sorted data: 1.

Step5: Check symmetry

Data is skewed right (tail to high values), not symmetrical.

Step6: Evaluate median vs mean

Mean: $\frac{0+0+1+1+1+2+2+2+3+4+4+5+6}{13} = \frac{31}{13} \approx 2.38$. Median = 2. Median is better for skewed data.

Answer:

• The range of the number line should be 0 to 7 to represent the frequency.
• One family said they ate out 5 times the previous week.
• The median best represents the data set.