Question

three normal curves are shown below. which statement comparing the standard - deviations of the curves is true? a the standard deviation of curve a is larger than the standard deviation of curve b. b the standard deviation of curve b is larger than the standard deviation of curve c. c the standard deviation of curve a is smaller than the standard deviation of curve c. d the standard deviation of curve a is equal to the standard deviation of curve c.

Explanation:

Step1: Recall property of normal - curve and standard deviation

The standard deviation of a normal - curve is related to its spread. A larger standard deviation results in a wider and flatter normal - curve, while a smaller standard deviation results in a narrower and taller normal - curve.

Step2: Analyze the curves

Curve A is wider and flatter than Curve C. This means that the standard deviation of Curve A is larger than the standard deviation of Curve C. Curve B is in - between Curve A and Curve C in terms of spread.

Answer:

A. The standard deviation of Curve A is larger than the standard deviation of Curve C