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Q: What is the purpose of calculating the standard deviation?
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Calculating var through mean and standard deviation?

Assuming var is variance, simply square the standard deviation and the result is the variance.


Explain the purpose of calculating standard deviation and quartile deviation?

Standard deviation helps planners and administrators to arrive at a figure that could be used to determine a range that can effectively describe a given set of numerical information/data; and based on which a decision concerning a system of those data can be made.


Why does the effect-size calculation use standard deviation rather than standard error?

The goal is to disregard the influence of sample size. When calculating Cohen's d, we use the standard deviation in teh denominator, not the standard error.


How standard deviation and Mean deviation differ from each other?

There is 1) standard deviation, 2) mean deviation and 3) mean absolute deviation. The standard deviation is calculated most of the time. If our objective is to estimate the variance of the overall population from a representative random sample, then it has been shown theoretically that the standard deviation is the best estimate (most efficient). The mean deviation is calculated by first calculating the mean of the data and then calculating the deviation (value - mean) for each value. If we then sum these deviations, we calculate the mean deviation which will always be zero. So this statistic has little value. The individual deviations may however be of interest. See related link. To obtain the means absolute deviation (MAD), we sum the absolute value of the individual deviations. We will obtain a value that is similar to the standard deviation, a measure of dispersal of the data values. The MAD may be transformed to a standard deviation, if the distribution is known. The MAD has been shown to be less efficient in estimating the standard deviation, but a more robust estimator (not as influenced by erroneous data) as the standard deviation. See related link. Most of the time we use the standard deviation to provide the best estimate of the variance of the population.


What is the relevance of calculating standard deviation?

The Standard Deviation will give you an idea of how 'spread apart' the data is. Suppose the average gasoline prices in your town are 2.75 per gallon. A low standard deviation means many of the gas stations will have prices close to that price, while a high standard deviation means you would find prices much higher and also much lower than that average price.

Related questions

What is the formula for calculating variance and standard deviation?

b-a/6


Calculating var through mean and standard deviation?

Assuming var is variance, simply square the standard deviation and the result is the variance.


Explain the purpose of calculating standard deviation and quartile deviation?

Standard deviation helps planners and administrators to arrive at a figure that could be used to determine a range that can effectively describe a given set of numerical information/data; and based on which a decision concerning a system of those data can be made.


What is the first step in calculating the standard deviation?

Collecting the data might be a good start.


Without calculating the standard deviation why does the set 4 4 20 20 have a standard deviation of 8?

The mean is 12 and each observation is 8 units away from 12.


Why does the effect-size calculation use standard deviation rather than standard error?

The goal is to disregard the influence of sample size. When calculating Cohen's d, we use the standard deviation in teh denominator, not the standard error.


How standard deviation and Mean deviation differ from each other?

There is 1) standard deviation, 2) mean deviation and 3) mean absolute deviation. The standard deviation is calculated most of the time. If our objective is to estimate the variance of the overall population from a representative random sample, then it has been shown theoretically that the standard deviation is the best estimate (most efficient). The mean deviation is calculated by first calculating the mean of the data and then calculating the deviation (value - mean) for each value. If we then sum these deviations, we calculate the mean deviation which will always be zero. So this statistic has little value. The individual deviations may however be of interest. See related link. To obtain the means absolute deviation (MAD), we sum the absolute value of the individual deviations. We will obtain a value that is similar to the standard deviation, a measure of dispersal of the data values. The MAD may be transformed to a standard deviation, if the distribution is known. The MAD has been shown to be less efficient in estimating the standard deviation, but a more robust estimator (not as influenced by erroneous data) as the standard deviation. See related link. Most of the time we use the standard deviation to provide the best estimate of the variance of the population.


What is the relevance of calculating standard deviation?

The Standard Deviation will give you an idea of how 'spread apart' the data is. Suppose the average gasoline prices in your town are 2.75 per gallon. A low standard deviation means many of the gas stations will have prices close to that price, while a high standard deviation means you would find prices much higher and also much lower than that average price.


What are the assumptions of standard deviation?

The standard deviation is the standard deviation! Its calculation requires no assumption.


What is the purpose of standard deviation error?

The purpose is to show how close one answer is to the other. Basically, to show how far off an answer is.


What does the sample standard deviation best estimate?

The standard deviation of the population. the standard deviation of the population.


What is helpful in calculating standard deviation?

Knowing the formula is helpful. Also, having a data-set to analyze makes the job much easier.