Q: What does theoretical expected value mean?

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For a population the mean and the expected value are just two names for the same thing. For a sample the mean is the same as the average and no expected value exists.

0. The expected value of the sample mean is the population mean, so the expected value of the difference is 0.

Fair means unbiased. That is to say, the expected outcome of a set of trials is the same as what would be expected on theoretical grounds.

For goodness of fit test using Chisquare test, Expected frequency = Total number of observations * theoretical probability specified or Expected frequency = Total number of observations / Number of categories if theoretical frequencies are not given. For contingency tables (test for independence) Expected frequency = (Row total * Column total) / Grand total for each cell

I think it means to find the theoretical probability of something random that has results that are numbers. For instance, rolling a die and trying to get a 6 is a "chance activity with numerical outcomes".

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No. The expected value is the mean!

For a population the mean and the expected value are just two names for the same thing. For a sample the mean is the same as the average and no expected value exists.

0. The expected value of the sample mean is the population mean, so the expected value of the difference is 0.

Fair means unbiased. That is to say, the expected outcome of a set of trials is the same as what would be expected on theoretical grounds.

Absolute discrepancy is the absolute difference between an observed value and a theoretical or expected value. To find absolute discrepancy, you simply subtract the observed value from the theoretical value and take the absolute value of the result. This measurement is different from percent discrepancy, which calculates the difference as a percentage of the theoretical value.

For goodness of fit test using Chisquare test, Expected frequency = Total number of observations * theoretical probability specified or Expected frequency = Total number of observations / Number of categories if theoretical frequencies are not given. For contingency tables (test for independence) Expected frequency = (Row total * Column total) / Grand total for each cell

% error = |experimental value - theoretical value|/theoretical value * 100% It is the absolute value of the differe nce betwee n the experime ntal a nd theoretical values divided by the theoretical value multiplied by 100%.

I think it means to find the theoretical probability of something random that has results that are numbers. For instance, rolling a die and trying to get a 6 is a "chance activity with numerical outcomes".

Percent error = (actual value - theoretical value) / theoretical value * 100%

The expected value is the arithmetic mean. It may not always be a value that is realised. Consider rolling a fair normal die. The mean or expected value of the outcome is 3.5 but a normal die will never ever turn up 3.5 since it has only integer values.

Percent Error = {Absolute value (Experimental value - Theoretical Value) / Theoretical Value }*100

It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.