High School

Which of the following sections of the normal distribution contains the largest percentage of the area?

A. From -2.00 standard deviations to +2.00 standard deviations
B. From the mean to -2.00 standard deviations
C. From -2.00 standard deviations to -1.00 standard deviations
D. From the mean to +2.00 standard deviations

Answer :

Final answer:

The section from 2 standard deviations below the mean to 2 standard deviations above the mean in a normal distribution contains the highest percentage of the total area, which is approximately 95% according to empirical rule.

Explanation:

The question is asking which section of the normal distribution contains the highest percentage of the total area. The normal distribution, which is often referred to as a bell curve, is a common statistical distribution. When we speak about sections of the normal distribution, the sections are usually defined in terms of standard deviations from the mean.

The correct answer is 'a. From :2.00 standard deviations to +2.00 standard deviations'. This range, which spans from 2 standard deviations below the mean to 2 standard deviations above the mean, encompasses approximately 95% of the total area under the curve according to empirical rule. The other choices represent smaller sections of the distribution and thus contain a smaller percentage of the total area.

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