Which measure will be affected by an outlier the most?
a) mean
b) median
c) range
d) mode
a) mean
b) median
c) range
d) mode
Range
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The measure most affected by an outlier is the mean. An outlier is a data point that significantly differs from other data points in a dataset. When calculating the mean, the outlier's value is included in the calculation, which can skew the average. As a result, the mean can be pulled towards the outlier, making it an unreliable representation of the central tendency of the data. Other measures such as the median and mode are less affected by outliers because they are not influenced by extreme values to the same extent as the mean. The median represents the middle value when the data is ordered, and the mode represents the most frequently occurring value, both of which can remain relatively stable even in the presence of outliers. Therefore, the mean is the measure most sensitive to the presence of outliers.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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