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Suppose a normal random variable has a mean of 72 inches and a standard deviation of 2 inches Suppose the random variable X measures the height of adult males in a certain city One may therefore con?
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∙ 14y ago
Suppose a normal random variable has a mean of 72 inches and a standard deviation of 2 inches. Suppose the random variable X measures the height of adult males in a certain city. One may therefore conclude that approximately 84% of the men in this population are shorter than?
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∙ 14y ago
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Why is the standard deviation used more frequently than the variance?
The standard deviation has the same measurement units as the variable and is, therefore, more easily comprehended.
What is the difference between standard deviation and coefficient of variation?
standard deviation only measures the average deviation of the given variable from the mean whereas the coefficient of variation is = sd\mean Written as "cv" If cv>1 More variation If cv<1 and closer to 0 Less variation
Which type of measure of dispersion is mostly used standard deviation or variance?
They are effectively the same but the standard deviation is more popular because the units of measurement are the same as those for the variable.
What area within one standard deviation between and mu and minus and sigma and and mu plus and sigma?
The answer will depend on the distribution of the variable.
The weight of medium-sized tomatoes selected at random from a bin at the local supermarket is a random variable with mean variable with mean 10 ounces and standard deviation 1 once?
1.14
Why standard deviation scores over mean deviation as a more accurate measures of dispersion?
It is not. And that is because the mean deviation of ANY variable is 0 and you cannot divide by 0.
Why is the standard deviation used more frequently than the variance?
The standard deviation has the same measurement units as the variable and is, therefore, more easily comprehended.
What is mean and standard deviation?
They are statistical measures. For a set of observations of some random variable the mean is a measure of central tendency: a kind of measure which tells you around what value the observations are. The standard deviation is a measure of the spread around the mean.
What is a normal random variable minus its mean and divided by its standard deviation?
It is the Standard normal variable.
What is a standardizing variable?
a standardizing variable is a variable that has a mean of zero and a standard deviation of one .
Annualized standard deviation?
http://www.hedgefund.net/pertraconline/statbody.cfmStandard Deviation -Standard Deviation measures the dispersal or uncertainty in a random variable (in this case, investment returns). It measures the degree of variation of returns around the mean (average) return. The higher the volatility of the investment returns, the higher the standard deviation will be. For this reason, standard deviation is often used as a measure of investment risk. Where R I = Return for period I Where M R = Mean of return set R Where N = Number of Periods N M R = ( S R I ) ¸ N I=1 N Standard Deviation = ( S ( R I - M R ) 2 ¸ (N - 1) ) ½ I = 1Annualized Standard DeviationAnnualized Standard Deviation = Monthly Standard Deviation ´ ( 12 ) ½ Annualized Standard Deviation *= Quarterly Standard Deviation ´ ( 4 ) ½ * Quarterly Data
What is the difference between standard deviation and coefficient of variation?
standard deviation only measures the average deviation of the given variable from the mean whereas the coefficient of variation is = sd\mean Written as "cv" If cv>1 More variation If cv<1 and closer to 0 Less variation
How do you standardise a value?
There are many different bases for standardisation - even if you only consider the Gaussian (Normal) distribution. If a variable X has a Gaussian distribution, then the corresponding Standard Normal deviate, Z, is obtained from X by subtracting the mean of X and then dividing the result by the standard deviation of X. The variable, Z, more commonly known as the Z-score, has a Gaussian distribution with mean 0 and standard deviation 1. But, if X is an IQ score, for example, different measures of the X variable are used so that the resulting variable has mean 100 and standard deviation 15.
Why are none of the measures of variability appropriate for a nominal variable?
A nominal variable is where you assign a number to a category. Imagine a variable called "animal" where 1=sheep, 2=cow, 3=dog, etc. Calculating the average, standard deviation or other continuous measures of "animal" in this context wouldn't make any sense. That is, an average "animal" of, say, 4.567 with standard deviation of 1.234 doesn't mean anything. You could, however, calculate a mode, which is the most frequently occurring category.
How do you identify group data or ungroup data in standard deviation?
You cannot. If you are told the standard deviation of a variable there is no way to tell whether that was derived from grouped or ungrouped data.
If the outcomes of a random variable follow a Poisson distribution then their?
means equal the standard deviation
Which type of measure of dispersion is mostly used standard deviation or variance?
They are effectively the same but the standard deviation is more popular because the units of measurement are the same as those for the variable.
