Assertion: sample's value | /r/HasProperty | equal
Facets:
value: to the true mean
type: OTHER
value: in example
type: OTHER
value: to the probability of the event
type: OTHER
Source sentences:
text: For example, it can be proven that the expected value of both the mean and the median, and M d , is equal to .
text: Its value at a given point is equal to the proportion of observations from the sample that are less than or equal to that point.
text: The result about the expected value is proved by using the definition of distribution function and the properties of indicator functions (in particular, the fact that the expected value of an indicator is equal to the probability of the event it indicates): The result about the variance is proved as follows:
text: In Example (b), the value 120 is equal to the mean, so its z-value is 0.
text: The expected value of the estimator is equal to the true mean .
text: The expected value of the estimator is equal to the true mean and is therefore unbiased: