The 50^th percentile of a data set: A)cannot be larger than the mean of the data set. B)will tend to be larger than the mean of the data set if the distribution is negatively skewed. C)will tend to be larger than the mean of the data set if the distribution is positively skewed. D)will always be less than or equal to Q1. E)none of the above.

Question

Quizplus · Accepted Answer

The 50th percentile of a data set is the median. In a negatively skewed distribution, the mean is pulled towards the tail, which is on the left, making the mean smaller than the median. Therefore, the median (50th percentile) will tend to be larger than the mean if the distribution is negatively skewed.

The 50th Percentile of a Data Set

The 50^th Percentile of a Data Set