Question

The graph below shows three different normal distributions. 3 normal distributions are shown. All 3 are at different points on the axis. They all have different heights and widths. Which statement must be true? Each distribution has the same mean and the same standard deviation. Each distribution has the same mean and a different standard deviation. Each distribution has a different mean and the same standard deviation. Each distribution has a different mean and a different standard deviation.

Answer 1

Each distribution has a different mean and a different standard deviation.

Explanation:

Since each normal distribution starts and finishes on different points, and are all different lengths, they all have different means and standard deviations.

Answer 2

Answer: D

Each distribution has a different mean and a different standard deviation

Explanation:

If they are in different positions on the number line, and assuming the distribution is normal, they will all have a different mean. You also mentioned that the width is different, so they all vary from the mean slightly differently that each other.