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Nearly all the values in a sample from a normal population will lie within three standard deviations of the mean. Please see the link.

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11y ago

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What does the Empirical Rule indicate?

An empirical rule indicates a probability distribution function for a variable which is based on repeated trials.


What empirical analysis is used in political analysis?

Primarily, statistics.


Can the Empirical Rule of probability be applied to the uniform probability distribution?

Yes, except that if you know that the distribution is uniform there is little point in using the empirical rule.


How does the bell curve relates to the empirical rule?

The bell curve, also known as the normal distribution, is a symmetrical probability distribution that follows the empirical rule. The empirical rule states that for approximately 68% of the data, it lies within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations when data follows a normal distribution. This relationship allows us to make predictions about data distribution based on these rules.


Does the empirical rule work for any data set?

No.The empirical rule is a good estimate of the spread of the data given the mean and standard deviation of a data set that follows the normal distribution.If you you have a data set with 10 values, perhaps all 10 the same, you clearly cannot use the empirical rule.


Is empirical rule a characteristic of a normal distribution?

Yes, the empirical rule, also known as the 68-95-99.7 rule, is a characteristic of a normal distribution. It states that approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and around 99.7% lies within three standard deviations. This rule helps in understanding the spread and variability of data in a normally distributed dataset.


What is Markovnikov rule?

Markovnikov’s rule is an empirical rule used to predict regioselectivity of electrophilic addition reactions of alkenes and alkynes. It states that, in hydrohalogenation of an unsymmetrical alkene, the hydrogen atom in the hydrogen halide forms a bond with the doubly bonded carbon atom in the alkene, bearing the greater number of hydrogen atoms.


State the main reason for using the empirical rule rather than chebyshevs theorem?

The empirical rule can only be used for a normal distribution, so I will assume you are referring to a normal distribution. Chebyshev's theorem can be used for any distribution. The empirical rule is more accurate than Chebyshev's theorem for a normal distribution. For 2 standard deviations (sd) from the mean, the empirical rule says 95% of the data are within that, and Chebyshev's theorem says 1 - 1/2^2 = 1 - 1/4 = 3/4 or 75% of the data are within that. From the standard normal distribution chart, the answer for 2 sd from the mean is 95.44% So, as you can see the empirical rule is more accurate.


When was Historical Statistics of the United States created?

Historical Statistics of the United States was created in 2006.


Why should we use chebyshev's theorem instead of the Empirical rule in a sampling in statistics?

Chebyshev's theorem is more versatile than the Empirical Rule because it applies to all distributions, not just normal distributions. While the Empirical Rule provides specific percentages for normally distributed data (approximately 68%, 95%, and 99.7% within one, two, and three standard deviations from the mean), Chebyshev's theorem guarantees that at least ( \frac{1}{k^2} ) of the data falls within ( k ) standard deviations from the mean for any ( k > 1 ). This makes Chebyshev's theorem particularly useful when dealing with non-normal distributions or when the shape of the data is unknown.


In the Empirical Rule of data will fall in with two standard deviation.?

Approx 95% of the observations.


What has the author H L Koul written?

H. L. Koul has written: 'Weighted empiricals and linear models' -- subject(s): Autoregression (Statistics), Linear models (Statistics), Regression analysis, Sampling (Statistics) 'Weighted empirical processes in dynamic nonlinear models' -- subject(s): Autoregression (Statistics), Linear models (Statistics), Regression analysis, Sampling (Statistics)