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Why is standard deviation called the best of all measures of dispersion?
Wiki User
∙ 11y ago
standard deviation is the best measure of dispersion because..
a)It measure the absolute dispersion
b)It is most frequentlyused as prossesses almost all the the qualities that a good measure of variation have.
c)It is beased on all observation.
d)It is rigidly defined.
e)It is capable of further algebraic treatment.
f)It is least affected by the fluctuation of sampling.
Wiki User
∙ 11y ago
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Why is standard deviation of a statistic called standard error?
The standard error is the standard deviation divided by the square root of the sample size.
Why variance is bigger than standard deviation?
The variance is standard deviation squared, or, in other terms, the standard deviation is the square root of the variance. In many cases, this means that the variance is bigger than the standard deviation - but not always, it depends on the specific values.
When the population standard deviation is not known?
Context of this question is not clear because it is NOT a full question. However when attempting to estimate an parameter such as µ using sample data when the population standard deviation σ is unknown, we have to estimate the standard deviation of the population using a stastitic called s where _ Σ(x-x)² s = ▬▬▬▬ n -1 _ and estimator for µ , in particular x ........................................._ has a standard deviation of s(x)= s/√n and the statistic _ x - hypothesized µ T = ▬▬▬▬▬▬▬▬▬▬ s has a student's T distribution with n-1 degrees of freedom If n> 30 , then by the Central Limit Theorem, the T distribution approaches the shape and form of the normal(gaussian) probability distribution and the Z table may be used to find needed critical statistical values for hypothesis tests , p-values, and interval estimates.
What is an angle that measures 75 degrees called?
an acute angle
What is the name of an angle that measures 160 degrees called?
Obtuse?
What is relative measure?
These measures are calculated for the comparison of dispersion in two or more than two sets of observations. These measures are free of the units in which the original data is measured. If the original data is in dollar or kilometers, we do not use these units with relative measure of dispersion. These measures are a sort of ratio and are called coefficients. Each absolute measure of dispersion can be converted into its relative measure. Thus the relative measures of dispersion are:Coefficient of Range or Coefficient of Dispersion.Coefficient of Quartile Deviation or Quartile Coefficient of Dispersion.Coefficient of Mean Deviation or Mean Deviation of Dispersion.Coefficient of Standard Deviation or Standard Coefficient of Dispersion.Coefficient of Variation (a special case of Standard Coefficient of Dispersion)
What is measure of variation?
A measure of variation, also called a measure of dispersion, is a type of measurement that details how a set of data is scattered from a central or neutral point of origin. Range, variance and standard deviation are three measures of variation that are commonly used.
What is the square of the standard deviation called?
The square of the standard deviation is called the variance. That is because the standard deviation is defined as the square root of the variance.
What is meant by dispersion without deviation?
when a ray of light enters two specifically arranged prisms and disperese i.e. splits into characteristic colours without suffering any deviation inside the prisms(the magnitude of deviation for both the prisms is same and in opposite direction, so net deviation is zero); its called dispersion without deviation...
Why is standard deviation of a statistic called standard error?
The standard error is the standard deviation divided by the square root of the sample size.
The standard deviation of a point estimator is called the?
standard error
What is the square root of the variance called?
Standard deviation
What is the distribution with a mean of 0 and a standard deviation of 1 called?
standard normal
What is the distribution with an means of 0 and a standard deviation of 1?
It is called a standard normal distribution.
What is the pattern of a variability within a data set called?
The range, inter-quartile range (IQR), mean absolute deviation [from the mean], variance and standard deviation are some of the many measures of variability.
Why variance is bigger than standard deviation?
The variance is standard deviation squared, or, in other terms, the standard deviation is the square root of the variance. In many cases, this means that the variance is bigger than the standard deviation - but not always, it depends on the specific values.
What is deviation in statistics?
Deviation, actually called "standard deviation" is, in a set of numbers, the average distance a number in that set is away from the mean, or average, number.
