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Q: Why is standard deviation best when there are outliers?
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The mean and standard deviation are usually not used together because of outliers?

false


If outliers are added to a dataset how would the variance and standard deviation change?

They would both increase.


What is the relation between quartile deviation and standard deviation?

Strictly speaking, none. A quartile deviation is a quick and easy method to get a measure of the spread which takes account of only some of the data. The standard deviation is a detailed measure which uses all the data. Also, because the standard deviation uses all the observations it can be unduly influenced by any outliers in the data. On the other hand, because the quartile deviation ignores the smallest 25% and the largest 25% of of the observations, there are no outliers.


What does the sample standard deviation best estimate?

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


Which of the following is least affected if an extreme high outlier is added to your data mean median or standard deviation or ALL?

The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.


Is absolute mean deviation affected by outliers?

Yes.


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.


Why standard deviation is best measure of dispersion?

standard deviation is best measure of dispersion because all the data distributions are nearer to the normal distribution.


What are the assumptions of standard deviation?

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


When computing Standard deviation should you eliminate the extreme values?

Generally not without further reason. Extreme values are often called outliers. Eliminating unusually high values will lower the standard deviation. You may want to calculate standard deviations with and without the extreme values to identify their impact on calculations. See related link for additional discussion.


What is standard deviation of 155.45?

The standard deviation is 0.


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

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