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Why does an outlier affect the mean more than the median or mode?
Wiki User
∙ 9y ago
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 :)
Wiki User
∙ 9y ago
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How does the outlier affect the mean median mode and range?
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 * * * * * It does not affect the median.
What are 3 popular questions about mean median and mode?
3 popular questions about mean,median,mode is whats the mean? whats the mode? whats the median? hope this helps
Which measure summarizes all of the values of a data set with a single number?
The central tendency can be summarised by the mode, median or mean. For qualitative data, only the mode is available.The central tendency can be summarised by the mode, median or mean. For qualitative data, only the mode is available.The central tendency can be summarised by the mode, median or mean. For qualitative data, only the mode is available.The central tendency can be summarised by the mode, median or mean. For qualitative data, only the mode is available.
Does all data have a mean median or mode?
No, not all data sets have a mode but all data sets have a mean and median.
What is the mean median and mode 8 15 19 24 21 28?
Mean: 19 and 1/6 Median: 20 There is no mode.
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.
How does the outlier affect the mean median mode?
An outlier can increase or decrease the mean and median It usually doesn't affect the mode
What does the outlier affect the most out of mean median and mode?
The mean. Or the mode.
How does the outlier affect the mean median mode and range?
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 * * * * * It does not affect the median.
What is the outlier of the mean median and mode?
The median and mode cannot be outliers. For small samples a mode could be an outlier.
How do you determine how the outlier affects the mean median mode and range?
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.
Between Mean Median and Mode which are affected most by an outlier?
The mean is affected the most by an outlier.
Does the outlier affect the mean median and mode?
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.
How does the outlier effect the mean median and mode in a set of data?
There would be a difference to the median. The old number wouldn't be the median but the mode wouldn't change. If the outlier is a high value, it will cause the mean value to shift to the higher side, while a low valued outlier will drop the mean value to a lower number.
Math problem with the numbers 35 23 15 23 If an outlier of 100 is added to the this math problem how will it affect the mean medium and mode?
35, 23, 15, 23: Mean: 24 Median: 23 Mode: 23 35, 23, 15, 23, 100: Mean: 39.2 Median: 23 Mode: 23 In this particular case, only the mean is affected by adding the outlier of 100.
What happens to the mean median and mode for the data shown if the outlier is eliminated 8 3 5 3 23 4 7?
The mean and median become smaller, the mode does not change.
How does the outlier change the mean median mode and range with these numbers 5 13 13 15 18 20 20 20?
Mean: 15.5 Median: 16.5 Mode: 20 Range: 15
