asked 206k views
4 votes
In a gaussian distribution, the interval (µ − 2σ, µ 2σ contains approximately what proportion of the population?

asked
User Henser
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8.7k points

2 Answers

5 votes

Final answer:

The interval (µ − 2σ, µ + 2σ) in a Gaussian distribution contains approximately 95% of the population.

Step-by-step explanation:

The interval (µ − 2σ, µ + 2σ) in a Gaussian distribution contains approximately 95% of the population.

For example, if we consider a Gaussian distribution with a mean (µ) of 10 and a standard deviation (σ) of 2, the interval (10 - 2*2, 10 + 2*2) would be (6, 14). This means that approximately 95% of the population falls within the range of 6 to 14.

answered
User Antonpv
by
8.6k points
5 votes

\mu\pm2\sigma contains approximately 95% of the distribution.
answered
User Shoesel
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8.1k points
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