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Subjects>Math>Math & Arithmetic

Calculating var through mean and standard deviation?

Anonymous

∙ 15y ago

Updated: 10/19/2022

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

Wiki User

∙ 15y ago

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Q: Calculating var through mean and standard deviation?

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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.

Relation between mean and standard deviation?

Standard deviation is the variance from the mean of the data.

What is the difference between standard deviation and mean?

The mean is the average value and the standard deviation is the variation from the mean value.

Is the standard deviation the same as the mean of absolute distances from the mean?

no the standard deviation is not equal to mean of absolute distance from the mean

Standard deviation is helpful in calculating?

Standard deviation is a calculation. It I used in statistical analysis of a group of data to determine the deviation (the difference) between one datum point and the average of the group.For instance, on Stanford-Binet IQ tests, the average (or, mean) score is 100, and the standard deviation is 15. 65% of people will be within a standard deviation of the mean and score between 85 and 115 (100-15 and 100+15), while 95% of people will be within 2 standard deviations (30 points) of the mean -- between 70 and 130.

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Related Questions

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.

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.

If quartile deviation is 24. find mean deviation and standard deviation?

Information is not sufficient to find mean deviation and standard deviation.

How can one determine the value of sigma in a statistical analysis?

In statistical analysis, the value of sigma () can be determined by calculating the standard deviation of a set of data points. The standard deviation measures the dispersion or spread of the data around the mean. A smaller standard deviation indicates that the data points are closer to the mean, while a larger standard deviation indicates greater variability. Sigma is often used to represent the standard deviation in statistical formulas and calculations.

A standard normal distribution has a mean of and standard deviation of?

Mean 0, standard deviation 1.

What is the mean and standard deviation for the standard normal curve?

Mean = 0 Standard Deviation = 1

What is the difference between standard error of mean and standard deviation of means?

Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.

Can standard deviation be greater than mean?

Standard deviation can be greater than the mean.

Relation between mean and standard deviation?

Standard deviation is the variance from the mean of the data.

How is the mean related to standard deviation?

Mean and standard deviation are not related in any way.

What does one standard deviation mean?

Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.

Is the standard deviation best thought of as the distance from the mean?

No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.

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