Assertion: distribution's mean | /r/HasProperty | equal
Facets:
value: to 8
type: OTHER
value: to the variance
type: OTHER
value: to the difference between population
type: OTHER
value: roughly
type: DEGREE
value: to median
type: OTHER
value: to the degrees of freedom
type: OTHER
value: to 1/2
type: OTHER
value: for α = β
type: OTHER
value: to the product of their means
type: OTHER
value: exactly
type: DEGREE
Source sentences:
text: In the Product distribution section, and derived from Mellin transform theory (see section above), it is found that the mean of a product of independent variables is equal to the product of their means.
text: If the means of the two normal distributions are equal, then the combined distribution is unimodal.
text: α = β, the geometric means are equal: G X = G (1−X) .
text: The accompanying plot shows that for α = β, both the mean and the median are exactly equal to 1/2, regardless of the value of α = β, and the mode is also equal to 1/2 for α = β > 1, however the geometric and harmonic means are lower than 1/2 and they only approach this value asymptotically as α = β → ∞.
text: The mean of the chi-square distribution is equal to the degrees of freedom, i.e. E(χ2)
text: For the normal distribution, we know that the mean is equal to median, so half (50%) of the area under the curve is above the mean and half is below, so P(BMI
text: If your data comes from a Poisson distribution, then the mean and the variance of your data should be roughly equal.
text: The orange line represents the mean, which is equal to 10 in each of these plots; the green line shows the standard deviation.
text: In such cases, the observations are overdispersed with respect to a Poisson distribution, for which the mean is equal to the variance.
text: As you might expect, the mean of the sampling distribution of the difference between means is: which says that the mean of the distribution of differences between sample means is equal to the difference between population means.
text: Thus, for this example, both the mean and the variance are equal to 8.