The outlier is capable of affecting mean median mode and range
it affects mean because the average has changed
if affects median because you have to cross out 1 more letter
it doesn't affect mode
it does affect range because an outlier is a number that i far away from the other numbers
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It does not affect the median.
it messes up the mean and sometimes the median. * * * * * An outlier cannot mess up the median.
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 :)
What Five Numbers have a range of 5 a median of 16 and a mean of 15
What is the answer
When the distribution has outliers. They will skew the mean but will not affect the median.
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.
Calculate the mean, median, and range with the outlier, and then again without the outlier. Then find the difference. Mode will be unaffected by an outlier.
An outlier can increase or decrease the mean and median It usually doesn't affect the mode
The mean is better than the median when there are outliers.
it messes up the mean and sometimes the median. * * * * * An outlier cannot mess up the median.
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.
The mean. Or the mode.
The median and mode cannot be outliers. For small samples a mode could be an outlier.
The mean is affected the most by an outlier.
Mean: 15.5 Median: 16.5 Mode: 20 Range: 15
Yes, no, and no. The mean uses all numbers so it WILL be influenced by an outlier (sometimes heavily). The median is the middle number, so it can't be. The mode is the most frequent number, so it really can't be.
An outlier can significantly affect the median of a data set, although its impact is less pronounced compared to measures like the mean. The median is the middle value when data is arranged in order, so if an outlier is added or removed, it may not change the median unless it is situated among the middle values. For instance, in a data set with an odd number of values, an extreme outlier at one end will not affect the median as long as it does not enter the central position. However, in a smaller data set, the presence of an outlier can shift the median if it changes the arrangement of the middle values.