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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.

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Q: Does the empirical rule work for any data set?
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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.


The difference between the theoretical and empirical probability?

The term empirical means "based on observation or experiment." An empirical probability is generally, but not always, given with a number indicating the possible percent error (e.g. 80+/-3%). A theoretical probability, however, is one that is calculatedbased on theory, i.e., without running any experiments.Since there is no theory that will calculate the probability that an area will experience an earthquake within a given time frame, the 90% figure is an empirical probability, presumably based on data of major earthquakes in the San Francisco area over past years.


What are the data to be collected?

Any kind of data can be collected.


Can any set of data be displayed using a histogram?

Yes, any data set can be displayed using a histogram, as long as it represents original data, or data that does fall in a particular order.


What graph is used to discrete data?

Any kind of graph can be used for discrete data.

Related questions

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.


According to philosophers what are two big sources of any kind of knowledge of epistemology?

Theoretical (Theory) and Empirical (Data)


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.


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 'empirical system'?

An empirical system is any practice (any subsequent actions) which is based on observation and experience rather than scientific fact or data. That would probably include such things as the medicines recommended by old wives' tales or other kinds of "hereditary learning." For example, methods of keeping mosquitoes away, cures for poison ivy, products which clean windows without streaking (my grandmother swore by vinegar and newspaper), or other such things. These may work, but they generally fall into the category of experience rather than science--though there may, in fact, be scientific theory at work. Homeopathic medicine was once considered a totally empirical system; that's beginning to change, though.


What Data travels from RAM to the CPU on the?

only the temporary data which can not be seen by any of the user expect PROs it could be a password, the work sheet you are working. any unsaved data that you playing games or writing.


Back up-with a sentence?

We have some back up activities planned in the gym if the baseball game is rained out. Do you have any empirical data to back up that theory? Dad called a plumber because the sink is backed up.


What is the definition of unsupported hypothesis?

An unsupported hypothesis is a statement that proposes a possible explanation for something but lacks evidence or data to back it up. It is typically not based on any empirical research or logical reasoning, making it unreliable and unproven.


What is the empirical formula for the molecule?

An empirical formula is a chemical formula containing only the number of atoms why is formed (ex.: C6H12), without any indication about the structure.


What is an empirical formula for the molecule?

An empirical formula is a chemical formula containing only the number of atoms why is formed (ex.: C6H12), without any indication about the structure.


Is philosophy a first order discipline?

No, philosophy is considered a second-order discipline because it reflects on the nature and methods of first-order disciplines, such as science, mathematics, and ethics, rather than focusing on specific empirical observations or data.


Is there any data entry services that hire people to work from their own home?

"Many different data entry services hire people to work from home. Be cautious of sites offering to find work for a fee, they usually aren't worth it."