A local real estate magazine used the median instead of the mean when it reported the SAT score of the average student who attends Groveland High School. A graphical display of SAT scores of students who attend GHS indicated that the data were strongly skewed to the right. Which of the following explains why, in this situation, the median is a more accurate indicator of the SAT score of the average student than the mean is? A) The mean is affected by the skewness, whereas the median is not. B) The median is always the preferred statistic. C) The mean will be less than the median when the data are strongly skewed to the right. D) The mean should be used only when data are strongly skewed to the left. E) The median is equal to one-half the sum of the maximum and minimum SAT scores at GHS.

THIS USER ASKED 👇

A local real estate magazine used the median instead of the mean when it reported the SAT score of the average student who attends Groveland High School. A graphical display of SAT scores of students who attend GHS indicated that the data were strongly skewed to the right. Which of the following explains why, in this situation, the median is a more accurate indicator of the SAT score of the average student than the mean is?

A) The mean is affected by the skewness, whereas the median is not.
B) The median is always the preferred statistic.
C) The mean will be less than the median when the data are strongly skewed to the right.
D) The mean should be used only when data are strongly skewed to the left.
E) The median is equal to one-half the sum of the maximum and minimum SAT scores at GHS.

THIS IS THE BEST ANSWER 👇

A) The new influences the mean, but not the median.

Explanation:

A graphical display of the SAT scores of the students attending GHS showed that the data was strongly skewed to the right.

In this case, the median is a more accurate indicator of the average student’s SAT score than the average because the average is influenced by the aesthetic, but not the median. The skewess means that it has no effect on the median a higher level of accuracy because unknown factors are less present compared to the average affected by the new.