Question

the probability distribution below is negatively skewed.
the mean is select

• greater than the median.
• less than the median.
• equal to the median.

Explanation:

Identify the distribution shape

Using the Skewed Left knowledge point
The probability distribution shown in the histogram has a long tail extending to the left (lower values), with the peak on the right side. This confirms that the distribution is negatively skewed (also known as left-skewed).

Determine the relationship between mean and median

Using the Mean vs Median in Skewed Data knowledge point
In a negatively skewed (left-skewed) distribution, the extreme low values in the left tail pull the mean down more than they affect the median. Consequently, the mean is less than the median.

Answer:

• greater than the median.
• less than the median. (Correct answer)
• equal to the median.