Question

what type of data distribution is shown on the graph? negatively skewed

the mean is
greater than the median
less than the median
equal to the median

Explanation:

Identify the distribution type

Using the Skewed Distribution Properties knowledge point
The histogram shows a distribution with a longer tail extending to the left (towards lower values like 0) and the peak on the right (at 3). This shape is characteristic of a negatively skewed (or left-skewed) distribution.

Compare the mean and the median

Using the Mean vs Median in Skewed Data knowledge points
In a negatively skewed distribution, the extreme low values in the left tail pull the mean down more than they affect the median. Consequently, the mean is pulled to the left of the median.

$$ \text{Mean} < \text{Median} $$

Therefore, the mean is less than the median.

Answer:

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