For a negatively skewed distribution with a mean of M = 20, what is the most probable value for the median?​Group of answer choices​0​less than 20​20​greater than 20

To determine the most probable value for the median in a negatively skewed distribution with a mean of M = 20, follow these steps:

1. Understand the characteristics of a negatively skewed 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 majority of the data values are concentrated on the higher end of the scale, with fewer values on the lower end.

2. Relationship between mean, median, and mode in a negatively skewed distribution: In such distributions, the mean is typically less than the median, and the median is less than the mode. This is because the mean is pulled in the direction of the skew (towards the lower values).

3. Given the mean (M = 20): Since the distribution is negatively skewed, the mean is less than the median.

4. Determine the most probable value for the median: Since the mean is 20 and the median is greater than the mean in a negatively skewed distribution, the most probable value for the median must be greater than 20.

Therefore, the most probable value for the median is:

greater than 20