Question

how does increasing the standard deviation of a normal distribution affect the graph?
○ the mean decreases
○ the spread of the graph increases
○ the graph becomes narrower
○ the curve shifts to the right

Explanation:

The standard deviation of a normal distribution measures the spread or dispersion of the data. A larger standard deviation means data points are more spread out from the mean, which makes the graph of the normal distribution wider and flatter. The mean determines the center (horizontal position) of the graph, not the spread, so changing the standard deviation does not affect the mean or shift the curve. A smaller standard deviation would make the graph narrower, not a larger one.

Answer:

B. The spread of the graph increases