Standard deviation is robust to outliers true or false
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Answer:
True
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statement : Standard deviation is robust to outliers
answer : False
The statement is false
If you look at the formula for standard deviation above, a very high or a very low value would increase standard deviation as it would be very different from the mean. Hence outliers will effect standard deviation.
Neither the standard deviation nor the variance is robust to outliers. A data value that is separate from the body of the data can increase the value of the statistics by an arbitrarily large amount. The mean absolute deviation (MAD) is also sensitive to outliers.
#Learn more :
Absolute deviation regression is resistant to outliers
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