Yes.
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Yes, any data point outside thestandard deviation its an outlier
An outlier affects the mean the most because... It doesn't affect the median much because it's really just another number in a sequence. The median has almost nothing to do with the actual value of the numbers because it's only the middle number in a sequence that's in order from least to greatest. It doesn't affect the mode very much because, again, it's really just another number in a sequence. The mode is only the umber that occurs most often in a sequence. It also has nothing to do with the actual value of the numbers in the sequence. It does affect the mean because an outlier is a number in a sequence outside of the limits (a totally different process that I will not explain). That means it's either lower than the lowest number within the limits or higher than the highest number within the limits. The mean is the average. To find the mean/average, you add up all of the numbers in a sequence and divide the sum by the amount of numbers in the sequence. If the outlier is lower than the limits, than the mean will be lower. If the outlier is higher than the limits, than the mean will be higher. The mean is the only one in this list of math terms (mean, median, and mode) that DOES have to do with the values of the numbers. I hope I was able to help you somehow :)
No. But there can be more than one data point which has the same value as the mean for the set of numbers. Or there can be none that take the mean value.
A pair of numbers can have more than one factor because the numbers keep going on.
The one that does not belong