High School

What are the first and last deciles of the standard normal distribution?

A. -1.28, 1.28
B. -1.64, 1.64
C. -2.33, 2.33
D. -3.00, 3.00

Answer :

Final answer:

The first (D1-10th percentile) and last (D9-90th percentile) deciles of the standard normal distribution, which divides the distribution into ten equal parts, are -1.28 and 1.28 respectively.

Explanation:

The question is about the first and last deciles of the standard normal distribution, which is a statistical distribution that has a mean of 0 and a standard deviation of 1. The deciles of a distribution are the points that divide it into ten equal parts. The first decile (D1) is the 10th percentile and the last decile (D9) is the 90th percentile.

On a standard normal distribution table, the score representing the 10th percentile is -1.28 and the score representing the 90th percentile is 1.28. Therefore, the first and last deciles of the standard normal distribution are -1.28 and 1.28. So, Option 1 is correct.

Learn more about Standard Normal Distribution here:

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