Quartiles of Normal Distribution

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The first quartile of the normal distribution is found at the mean -0.67 times the standard deviation. The third quartile is found at the mean +0.67 times the standard deviation.

The first quartile, the mean, and the third quartile break down the normal distribution into approximately four equal parts each containing about 25% of the distribution.

The problems involving this breakdown of the normal distribution either use the word quartile or talk about 25, 50, or 75 % of the distribution within the question.

Some images used were generated using Geogebra.

0:00 Introduction
0:11 First Quartile
0:18 Third Quartile
0:24 How the quartiles break up normal curve
0:39 Type of problems using normal distribution quartiles

#quartiles
#normaldistribution
#statistics
#JoeCMath
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Valuable Stops:
0:38 General form breakdown of quartiles in normal distribution
0:48 Bottom 25%
0:59 Top 25%
1:16 Middle 50%
1:28 Quartile based questions usually include

JoeCMath
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super helpful and wonderful graphics, thanks so much!!!1

effielevenson
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Hey I’m just curious, but how did you get that .67? I’m confused how you were able to find that to be able to find the quartiles.

Bella-lqgi