If normal curve A has a mean of 50 and a standard deviation of 5, and normal curve B has a mean of 50 and a standard deviation of 10, then:
A)Curve A has more kurtosis than curve B.
B)Curve A has less kurtosis than curve B.
C)Because both curves are normal, they have the same degree of kurtosis.
D)None of these.

Question

Quizplus · Accepted Answer

The standard deviation is a measure of the spread of the data, while kurtosis measures the degree of peakedness in the distribution. A smaller standard deviation means the data is more tightly clustered around the mean, resulting in a higher degree of peakedness (i.e., kurtosis). Therefore, curve A, with a smaller standard deviation than curve B, will have more kurtosis.

If Normal Curve a Has a Mean of 50 and a Standard