One normal distribution has a mean of 5 and a standard deviation of 2.A second normal distribution has a mean of 6 and a standard deviation of 1.Which of the following statements is true?
A)The width of the first distribution is wider than the second distribution.
B)The central location of the first distribution is higher than the second distribution.
C)The dispersions of both distributions are the same.
D)The locations of both distributions are the same.

Question

Quizplus · Accepted Answer

The width of a normal distribution is determined by its standard deviation. A larger standard deviation means a wider distribution. The first distribution has a standard deviation of 2, which is larger than the second distribution's standard deviation of 1, making the first distribution wider.

One Normal Distribution Has a Mean of 5 and a Standard