Understand Z-Score Table & Outliers Impact on Mean

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Z-score tables typically do not include z values greater than 2.99 because such values represent extreme outliers, which occur in less than 0.1% of the data in a normal distribution. Outliers significantly impact the mean more than the median or mode because the mean is sensitive to every value in the dataset, while the median and mode are based on position and frequency, respectively. When an outlier is present, it skews the mean, making it less representative of the central tendency. This discussion highlights the importance of understanding how outliers can distort statistical measures. Resources for further information on z-scores and their implications are sought by participants.
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My textbook has the z-score table but it doesn't explain why the sign or magnitude means. It automatically assumes that we know.
I tried searching for this information but i can't find it.

1. Explain why do normal score tables typically not include z values greater than 2.99.

So can anyone give me the link to some sites that contain this type of information.

2. Explain why an outlier affects the mean more than the median or mode.

Is it because the mean changes with the data. If you change some of the values then the mean will also change but the mode and median should remain roughly the same.
 
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an outlier affect the mean more because the value of it is taken into account as opposed to the median, where the position of it is simply taken into account (moving the median less than the mean would move)
 
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