##### Asked by: Longinos Esterson
asked in category: General Last Updated: 14th May, 2020

# What percentage of the area under the normal curve lies between µ - 3s and µ 3s?

The empirical rule holds for all normal distributions: 68% of the area under the curve lies between (µ−σ, µ + σ) 95% of the area under the curve lies between (µ − 2σ, µ + 2σ) 99.7% of the area under the curve lies between (µ − 3σ, µ + 3σ) Page 2 • The inflection points of f (x) are at µ−σ, µ + σ .

Just so, what percent of the area underneath this normal curve is shaded?

The shaded area contains 95% of the area and extends from 55.4 to 94.6. For all normal distributions, 95% of the area is within 1.96 standard deviations of the mean.

Also, what does a standard score measure? Standard scores. The standard score indicates how many standard deviations an observation is above or below the mean: the standard deviation is the unit of measurement of the z-score. It allows comparison of observations from different normal distributions, which is done frequently in research.

Subsequently, question is, what is the value of the standard score for the mean of a distribution?

The standard score for the mean is 0. The standard score is the signed number of standard deviations that a score is away from the mean. By definition, the mean is 0 sd from the mean.

Which is greater in a normal distribution the mean or the median explain?

The mean; in a normal distribution, the mean is always greater than the median. The median; in a normal distribution, the median is always greater than the mean.

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