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In a given data, which one of the measures of central tendencies would be affected by one or two extremely large or extremely small values outside the range of the rest of the data?

In a given data, which one of the measures of central tendencies would be affected by one or two extremely large or extremely small values outside the range of the rest of the data? Correct Answer Mean

Given:

There are some given central tendencies to find what will be affected by one or two extremely large or extremely small values.

Calculation:

The mean, median, and mode are the most popular metrics of central tendency.

The median and mode may or may not be changed by extreme values.

But the mean is the central tendency metric that is most likely to be influenced by an extremely small or large number. The only measure of central tendency that is independent of all values is the mean, which is calculated by dividing the total of the values by the number of observations.

Mean = Sum of the all data points/Number of the data points

Therefore, the Mean is the correct answer.

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