For data sets having a normal, bell-shaped distribution, the following properties apply: About 68% of all values fall within 1 standard deviation of the mean About 95% of all values fall within 2 standard deviation of the mean About 99.7% of all values fall within 3 standard deviation of the mean.
An empirical rule indicates a probability distribution function for a variable which is based on repeated trials.
See: http://wiki.answers.com/Q/What_is_the_difference_between_Chebyshevs_inequality_and_empirical_rule_in_terms_of_skewness
50%
me la pelas
The proportion is approx 95%.
An empirical rule indicates a probability distribution function for a variable which is based on repeated trials.
Yes, except that if you know that the distribution is uniform there is little point in using the empirical rule.
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.
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.
Approx 95% of the observations.
The empirical rule is 68 - 95 - 99.7. 68% is the area for +/- 1 standard deviation (SD) from the mean, 95% is the area for +/- 2 SD from the mean; and 99.7% is the area for +/- 3 SD from the mean.
See: http://wiki.answers.com/Q/What_is_the_difference_between_Chebyshevs_inequality_and_empirical_rule_in_terms_of_skewness
50%
me la pelas
The proportion is approx 95%.
It is experimental or empirical probability.It is experimental or empirical probability.It is experimental or empirical probability.It is experimental or empirical probability.
IQ scores for adult students age 25-45 have a bell-shaped distribution with a mean of 100 and a standard deviation of 15.sing the Empirical Rule, what percentage of adult students age 25-45 have IQ scores between 70 and 130?