Question

which of the following statements is the best description for the data in question 8? a. the data is spread out and skewed left. b. most of the data is far from the median and skewed right. c. the range of the data is 13. d. the data is spread out with $5 being the most common weekly allowance.

Explanation:

Step1: Recall data - spread and skewness concepts

Data - spread refers to how dispersed the data values are. Range is a measure of spread. Skewness describes the asymmetry of the data distribution.

Step2: Analyze option A

Just saying "the data is spread out and skewed left" is a very general description and doesn't fully capture the nature of the data.

Step3: Analyze option B

Saying "most of the data is far from the median" is not a standard way to describe data characteristics. It doesn't clearly define spread or skewness.

Step4: Analyze option C

The range of the data is a well - defined measure of spread. It gives the difference between the maximum and minimum values in the data set.

Step5: Analyze option D

Saying "the data is spread out with $5$ being the most common weekly allowance" is a combination of spread and mode description. But the question is mainly about the best description of the data in general terms related to spread and skewness.

Answer:

C. The range of the data is 13.