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How many standard deviations are 95 percent of measurements away from the mean?
Wiki User
∙ 14y ago
95 percent of measurements are less than 2 standard deviations away from the mean, assuming a normal distribution.
Wiki User
∙ 14y ago
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What is the word which tells how many standard deviations a measurement is away from mean?
Z-Score.
What is chumlee's IQ?
My best estimate is around 1.5 standard deviations away from the norm.
For a population of beetles with a mean mandible length of 5 mm and a standard deviation of 1 mm How many standard deviations away from the mean is a beetle with mandible length of 54 mm?
49
Application of standard deviation in business?
Standard deviation helps business understand the research they have done on their potential customers. If the information deviates by one, then they know that they can rely on the information more so than research that deviates to standards deviations away from the mean.
What are the differences between the Emperical Rule and Chebyshev's Theorem?
The Empirical Rule applies solely to the NORMAL distribution, while Chebyshev's Theorem (Chebyshev's Inequality, Tchebysheff's Inequality, Bienaymé-Chebyshev Inequality) deals with ALL (well, rather, REAL-WORLD) distributions. The Empirical Rule is stronger than Chebyshev's Inequality, but applies to fewer cases. The Empirical Rule: - Applies to normal distributions. - About 68% of the values lie within one standard deviation of the mean. - About 95% of the values lie within two standard deviations of the mean. - About 99.7% of the values lie within three standard deviations of the mean. - For more precise values or values for another interval, use a normalcdf function on a calculator or integrate e^(-(x - mu)^2/(2*(sigma^2))) / (sigma*sqrt(2*pi)) along the desired interval (where mu is the population mean and sigma is the population standard deviation). Chebyshev's Theorem/Inequality: - Applies to all (real-world) distributions. - No more than 1/(k^2) of the values are more than k standard deviations away from the mean. This yields the following in comparison to the Empirical Rule: - No more than [all] of the values are more than 1 standard deviation away from the mean. - No more than 1/4 of the values are more than 2 standard deviations away from the mean. - No more than 1/9 of the values are more than 3 standard deviations away from the mean. - This is weaker than the Empirical Rule for the case of the normal distribution, but can be applied to all (real-world) distributions. For example, for a normal distribution, Chebyshev's Inequality states that at most 1/4 of the values are beyond 2 standard deviations from the mean, which means that at least 75% are within 2 standard deviations of the mean. The Empirical Rule makes the much stronger statement that about 95% of the values are within 2 standard deviations of the mean. However, for a distribution that has significant skew or other attributes that do not match the normal distribution, one can use Chebyshev's Inequality, but not the Empirical Rule. - Chebyshev's Inequality is a "fall-back" for distributions that cannot be modeled by approximations with more specific rules and provisions, such as the Empirical Rule.
This tells how many standard deviations a measurement is away from the mean?
Z-Score tells how many standard deviations a measurement is away from the mean.
What tells how many standard deviations a measurement is away from the mean?
the Z score, or standard score.
Tells how many standard deviations a measurement is away from the mean?
z score
What tells us how many standard deviations a measurement is away from the mean?
z score
What word tells how many standard deviations a measurement is away from the mean?
z-score
What is the word which tells how many standard deviations a measurement is away from mean?
Z-Score.
What is chumlee's IQ?
My best estimate is around 1.5 standard deviations away from the norm.
Give the term for the number of the standard deviations that a particular X value is away from the mean?
z
How many standard deviations is the first quartile away from the mean on a Normal distribution?
0.674 sd.
A six letter word for tells how many standard deviations a measurement is away from the mean?
Z-score
How many standard deviations a measurement is away from the mean?
The answer depends on the individual measurement in question as well as the mean and standard deviation of the data set.
How smart is IQ 130?
An IQ of 130 is considered "moderatley gifted." It's basically two standard deviations away from the norm (100).
