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Q: Given the following data 164 175 126 135 159 143 55 what effect will the outlier have on the median of the data if the outlier is excluded?

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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.

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.

It is 38.

There is no mode so it is not a measure of anything! Te data set contains an outlier: 996 and so the median is a better measure of the centre than the mean.

An outlier can be very large or small. its usally 1.5 times the mean. they can be seen with a cat and whisker box * * * * * The answer to the question is YES. "Its usually 1.5 times the mean" is utter rubbish - apart from the typo. If a distribution had a mean of zero, such as the standard Normal distribution, then almost every observation would be greater than 1.5 times the mean = 0 and so almost every observation would be an outlier! No. There is no universally agreed definition for an outlier but one contender is values that are more than 1.5 times the interquartile range away from the median.

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Hai. :3

No, median is not an outlier.

Outlier does not affect the median.

An outlier pulls the median towards it. For example 1,2,3 Median=2 1,2,3,7 Median=2.5

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 pulls the mean towards it. It does not affect the median and only affects the mode if the mode is itself the outlier.

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.

The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.

The median and mode cannot be outliers. For small samples a mode could be an outlier.

it messes up the mean and sometimes the median. * * * * * An outlier cannot mess up the median.

An outlier can increase or decrease the mean and median It usually doesn't affect the mode

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.

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