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Q: Does the outlier affect the standard deviation?
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Does outlier affect standard deviation?

Yes.


How are the mean and standard deviation affected by an outlier?

The mean is "pushed" in the direction of the outlier. The standard deviation increases.


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.


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.


Can you have more than one outlier in a set of data?

Yes, any data point outside thestandard deviation its an outlier


What are Deviation-Based Outlier Detection?

Deviation-based outlier detection does not use the statistical test or distance-based measures to identify exceptional objects. Instead, it identifies outliers by examining the main characteristics of objects in a group.


What are the assumptions of standard deviation?

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


How does standard deviation find outliers?

Common method is to find the mean and the standard deviation of the data set and then call anything that falls more than three standard deviations away from the mean an outlier. That is, x is an outlier if abs(x - mean) --------------- > 3 std dev This is usually called a z-test in statistics books, and the ratio abs(x-mean)/(std dev) is abbreviated z. Source: http://mathforum.org/library/drmath/view/52720.html


What determines the standard deviation to be high?

Standard deviation is a measure of the scatter or dispersion of the data. Two sets of data can have the same mean, but different standard deviations. The dataset with the higher standard deviation will generally have values that are more scattered. We generally look at the standard deviation in relation to the mean. If the standard deviation is much smaller than the mean, we may consider that the data has low dipersion. If the standard deviation is much higher than the mean, it may indicate the dataset has high dispersion A second cause is an outlier, a value that is very different from the data. Sometimes it is a mistake. I will give you an example. Suppose I am measuring people's height, and I record all data in meters, except on height which I record in millimeters- 1000 times higher. This may cause an erroneous mean and standard deviation to be calculated.


What does the sample standard deviation best estimate?

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


How does outlier affect mean median mode?

An outlier pulls the mean towards it. It does not affect the median and only affects the mode if the mode is itself the outlier.


If each score in a set of scores were increased by 6 points how would this affect the mean and the standard deviation?

This would increase the mean by 6 points but would not change the standard deviation.