Consider the following question. For each answer, what might a student who selec
ID: 3069216 • Letter: C
Question
Consider the following question. For each answer, what might a student who selects the answer understand? What concept might the student still be struggling with?
Carlton found data on the percent of area that is covered by water for each of the 50 states in the U.S. He made the dotplots below to compare the distributions for states that border an ocean and states that do not border an ocean. States that border on the ocean States that do not border on the ocean 20 30 50 20 30 s0 Percent of Area Covered by Water Percent of Area Covered by Water Which of the following is the best statistical reason for using the median and interquartile range (IQR), rather than the mean and standard deviation, to compare the centers and spreads of these distributions? The mean and standard deviation are more strongly influenced by outliers than the median and IQR. a. b. The median and IQR are easier to calculate than the mean and standard deviation. The two groups contain different numbers of states, so the standard deviation is not appropriate. C. d. The two distributions have the same shape.Explanation / Answer
Solution: Which of the following is the best statistical reason for using the median and the interquartile range (IQR), rather than the mean and the standard deviation, to compare the centers and spreads of these distributions?
Answer: The correct option is A.
A. The mean and standard deviation are more strongly influenced by outliers than the median and IQR
The other options (b,c and d) are not the justification for using Median and Inter quartile range instead of Mean and standard deviation.
To answer this question, student need to know the measures of central tendency and measures of dispersion.