Question

Select all that apply:A has the larger mean.B has the larger mean.The means of A and B are equal.A has the larger standard deviation.B has the larger standard deviation.The standard deviations of A and B are equal.

Answer 1

The graph of the normal distribution is often called "the bell shape". There are two features we determine in a normal distribution:

* The mean, is located at the maximum value or peak of the graph.

* The standard deviation is viewed as the width of the bell shape. The greater the standard deviation, the wider (or fatter) the graph is.

We can see graphs A and B have their peaks at the same vertical position. This means their means are equal.

We can also see graph B is fatter which means its standard deviation is larger than A's.

The correct selections are shown below: