An outlier does affect the mean of the data. How it's affected depends on how many data points there are, how far from the data the outlier is, whether it is greater than the mean (increases mean) or less than the mean (decreases the mean).
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An outlier will pull the mean and median towards itself. The extent to which the mean is affected will depend on the number of observations as well as the magnitude of the outlier. The median will change by a half-step.
An outlier can increase or decrease the mean and median It usually doesn't affect the mode
An outlier is a number that is very high or very low from the others. For example: 10, 15, 20, 5, 25, 25, 20, 50. Its mean would be 21.25, because the 50 is the numbers' outlier.
The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.
The mean is "pushed" in the direction of the outlier. The standard deviation increases.