Question

If a positively skewed distribution has a median of 30, which of the following statements is true?

A) The mean is less than 30.
B) The mean is equal to 30.
C) The mode is greater than 30.
D) The range is less than 30.

Answer 1

If a positively skewed distribution has a median of 30, the range is less than 30.

Step-by-step explanation:

In a positively skewed distribution, the mean is greater than the median, and the median is greater than the mode. Therefore, option A is false as the mean is greater than 30. Option B is false as well since the mean is greater than 30. Option C is also false as the mode is less than 30. Option D is true because the range can be any value, and it is not directly related to the skewness of the distribution.