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

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Q: Without calculating the standard deviation why does the set 4 4 20 20 have a standard deviation of 8?
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Related questions

What is helpful in calculating standard deviation?

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


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 are the units of measurement of standard deviation?

Standard deviation has the same unit as the data set unit.


What is the standard deviation of the data set given below?

A single number, such as 478912, always has a standard deviation of 0.


Does the size of the standard deviation of a data set depend on where the center is?

Yes it does. The center, which is the mean, affects the standard deviation in a potisive way. The higher the mean is, the bigger the standard deviation.


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.


What does standard deviation show us about a set of scores?

Standard Deviation tells you how spread out the set of scores are with respects to the mean. It measures the variability of the data. A small standard deviation implies that the data is close to the mean/average (+ or - a small range); the larger the standard deviation the more dispersed the data is from the mean.


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.


If a set of data has 100 points and a variance 4 then what is the standard deviation?

Standard deviation is the square root of the variance. Since you stated the variance is 4, the standard deviation is 2.


What is he standard deviation of the data set given below 478912?

A single number, such as 478912, always has a standard deviation of 0.


How do you use standard deviation?

Standard deviation is a measure of how spread out a set of numbers are from each other. It has a variety of uses in statistics.


What is the standard deviation of the following data set rounded to the nearest tenth 6040354539?

The standard deviation of a single number, as in this question, is 0.