Question

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 Groveland High School 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 preferred statistics.(C) The mean will be less than the median when the data is 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 of the maximum and minimum SAT scores at Groveland High.

Answer 1

Answer:

A)

Explanation:

Both mean and median are used for measuring a typical value.

They are also considered as measures of central tendency and the median is considered as a more appropriate indicator of typical value if we are talking about extreme value or outlier and when it doesn't include outlier, the mean one is a better option.

Mean is affected by skewness and that's why the median is more appropriate.