Which of the following statements about distributions is false?
A)In a normal distribution, the mean, median, and mode are all measures that equally describe the data set.
B)In a skewed distribution, the mean, median, and mode are all measures that equally describe the data set.
C)In a skewed distribution, not all of the measures of central tendency accurately describe the data set.
D)In a skewed distribution, it can be beneficial to use the median instead of the mean.

Question

Quizplus · Accepted Answer

In a skewed distribution, the mean, median, and mode are not all measures that equally describe the data set. The mean is heavily influenced by outliers and extreme values in a skewed distribution, causing it to be pulled in the direction of the skew. The median is a better measure of central tendency in a skewed distribution because it is not affected by extreme values as much as the mean. The mode is often not as useful in a skewed distribution because it may not accurately represent the most common value or peak of the distribution. Therefore, statement B is false.

Which of the Following Statements About Distributions Is False