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Standard deviation is not a range. It is a single number that represents how much the data is a set of observations varies about the mean. Mathematically it is the square root of the sum of the squares of the differences between the samples and the mean divided by N, or divided by N-1. The decision of N or N-1 depends on whether or not the mean was also calculated with the calculation of the standard deviation. If it was the same calculation, use N-1, it the mean was known beforehand, use N.

For clarification of parenthesis, and use of N or N-1, see the Related Link below.

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Find the range and standard deviation of the data set. 22 18 19 25 27 21 24?

The range is 9 and 3.01 is the standard deviation.


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

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


How do you calculate plus or minus one standard deviation?

To calculate plus or minus one standard deviation from a mean, first determine the mean (average) of your data set. Then calculate the standard deviation, which measures the dispersion of the data points around the mean. Once you have both values, you can find the range by adding and subtracting the standard deviation from the mean: the lower limit is the mean minus one standard deviation, and the upper limit is the mean plus one standard deviation. This range contains approximately 68% of the data in a normal distribution.


What are are measures of variability or dispersion within a set of data?

Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.


What is the range of standard deviation of 18 15 12 13 17 14 19 20 8?

The range is 12 and the standard deviation is 3.822448314.


Does an outlier have a greater effect on the standard deviation or interquartile range?

On the standard deviation. It has no effect on the IQR.


Is variance the square root of standard deviation?

No, you have it backwards, the standard deviation is the square root of the variance, so the variance is the standard deviation squared. Usually you find the variance first, as it is the average sum of squares of the distribution, and then find the standard deviation by squaring it.


Why we calculate standard deviation and quartile deviation?

we calculate standard deviation to find the avg of the difference of all values from mean.,


Can the value for the standard deviation be larger than the value for the rqange?

Yes, the standard deviation can be larger than the range in certain situations. The range is calculated as the difference between the maximum and minimum values in a dataset, while the standard deviation measures the spread of the data around the mean. If the data points are widely dispersed with a few extreme values, the standard deviation can exceed the range, especially in small datasets.


How do you calculate sample standard deviation?

Here's how you do it in Excel: use the function =STDEV(<range with data>). That function calculates standard deviation for a sample.


What is the range and standard deviation of 26 43 51 29 37 56 29 82 74 93?

The standard deviation = 23.856


What is a better measure of variability range or standard deviation?

The standard deviation is better since it takes account of all the information in the data set. However, the range is quick and easy to compute.

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