For a negatively skewed distribution with a mode of X = 25 and a median of 20, what is the most likely value for the mean?Group of answer choicesbetween 20 and 25greater than 25less than 20equal to 25
Question
For a negatively skewed distribution with a mode of X = 25 and a median of 20, what is the most likely value for the mean?Group of answer choicesbetween 20 and 25greater than 25less than 20equal to 25
Solution
To determine the most likely value for the mean in a negatively skewed distribution, we need to understand the characteristics of such a distribution. In a negatively skewed distribution, the tail on the left side of the distribution is longer or fatter than the right side. This means that the mean is typically less than the median, which in turn is less than the mode.
Given:
- Mode (X) = 25
- Median = 20
In a negatively skewed distribution:
- Mean < Median < Mode
Therefore, the mean is most likely less than the median.
So, the most likely value for the mean is:
- less than 20
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