Question

You want to use numerical summaries to describe a distribution that is strongly skewed to the left. Which combination of measure of center and sprea would be the best ones to use?
A Median and range.
B Mean and interquartile range.
C Median and standard deviation
D Median and interquartile range.

Answer 1

D Median and interquartile range.

In a distribution that is strongly skewed to the left, the median is a better measure of center than the mean because the mean can be heavily influenced by the skewness. The interquartile range is a more robust measure of spread compared to the range, as it is not affected by extreme values in the tails of the distribution.