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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.
What else can I help you with?
What Rule states that the first ring on an atom can hold 2 electrons and all others can hold 8?
Well I tink you mean the duet rule appling to first period and octet rule. The octet rule relates to the stable configuration that atoms can achive by sharing electrons, and is the outer shell of the noble gases. HOWEVER for period 3 and above atoms can hold more than 8 electrons in their outermost shells.
What is state phase rule?
The phase rule is a principle in physical chemistry that relates the number of phases, components, and degrees of freedom in a system at equilibrium. It helps to predict the number of coexisting phases in a system based on its degrees of freedom and components.
What is the optic rule?
The optic rule, often referenced in the context of optics and wave behavior, describes how light interacts with various materials and surfaces, particularly concerning reflection and refraction. It states that the angle of incidence equals the angle of reflection for reflecting surfaces and follows Snell's law for refracting surfaces, which relates the angles of incidence and refraction to the indices of refraction of the involved media. This principle is fundamental in understanding how lenses and mirrors manipulate light.
What rule by a powerful individual called?
Authoritarian Rule
What rule do the nonmetal atoms follow?
octet rule
By the empirical rule what percentage of the area under the normal curve lies to the left of mu the average Put your answer as a percentage?
50%
What percent of a normal population is within 2 standard deviations of the mean?
In a normal distribution, approximately 95% of the population falls within 2 standard deviations of the mean. This is known as the 95% rule or the empirical rule. The empirical rule states that within one standard deviation of the mean, about 68% of the population falls, and within two standard deviations, about 95% of the population falls.
What are three characteristics of a normal curve?
A normal curve, or Gaussian distribution, is symmetric and bell-shaped, indicating that the data is evenly distributed around the mean. It has a mean, median, and mode that are all equal and located at the center of the curve. Additionally, approximately 68% of the data falls within one standard deviation of the mean, about 95% within two standard deviations, and around 99.7% within three standard deviations, known as the empirical rule.
What does the Empirical Rule indicate?
An empirical rule indicates a probability distribution function for a variable which is based on repeated trials.
What percentage of the data falls within 3 standard deviation of the mean?
Approximately 99.7% of the data falls within 3 standard deviations of the mean in a normal distribution. This is known as the empirical rule or the 68-95-99.7 rule, which describes how data is distributed in a bell-shaped curve. Specifically, about 68% of the data falls within 1 standard deviation, and about 95% falls within 2 standard deviations of the mean.
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 to use the Empirical Rule to estimate the proportion of costs within two standard deviations of the mean?
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?
How can you find the percentage of empirical rule?
The number of potholes inThe number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 61 and a standard deviation of 9. Using the empirical rule (as presented in the book), what is the approximate percentage of 1-mile long roadways with potholes numbering between 34 and 70? any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 61 and a standard deviation of 9. Using the empirical rule (as presented in the book), what is the approximate percentage of 1-mile long roadways with potholes numbering between 34 and 70?
What are the Theoretical properties of normal distribution?
-It is symmetrical (mean = median) -It is bell shaped (empirical rule applies) -The interquartile range equals 1.33 standard deviations -The range is appr. equal to 6 stand. dev.
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.
What is the difference between Chebyshevs inequality and empirical rule in terms of skewness?
Chebyshev's inequality: The fraction of any data set lying within K standard deviations is always at least 1-1/K^2 where K is any positive number greater than 1. It does not assume that any distribution. Now, there is the empirical rule of bell shaped curves or the 68-95-99.7 rule, which states that for a bell shaped curve: 68% of all values should fall within 1 standard deviation, 95% of all values should fall within 2 standard deviations and 99.7% of all values should fall within 3 standard deviation. If we suspect that our data is not bell shaped, but right or left skewed, the above rule can not be applied. I note that one test of skewness is Pearson's index of skewness, I= 3(mean of data - median of data)/(std deviation) If I is greater or equal to 1000 or I is less than 1, the data can be considered significantly skewed. I hope this answers your question. I used the textbook Elementary Statistics by Triola for the information on Pearson's index. If this answer is insufficient, please resubmit and be a bit more definitive on what you mean by empirical rule.
What is the rule of law as it relates to the federal government?
government
