answersLogoWhite

0


Best Answer

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

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How are the mean and standard deviation affected by an outlier?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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.


Between Mean Median and Mode which are affected most by an outlier?

The mean is affected the most by an outlier.


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


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

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


Which measure is most affected by an outlier?

mean


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.


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.


Is the mean affected by a low outlier?

Yes.Yes.Yes.Yes.


How is the mean related to standard deviation?

Mean and standard deviation are not related in any way.


Can standard deviation be greater than mean?

Standard deviation can be greater than the mean.