Which of the following measures of central tendency is influenced by extreme values?

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Mean

Median

Mode

None of these

answer is A.

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Detailed Solution

Option 1: Mean is the arithmetic average of a data set. This is found by adding the numbers in a data set and dividing by the number of observations in the data set. Mean is calculated by using all the given data so it depends on the extreme values. So, the mean is the measure of central tendency that is influenced by extreme values.
Option 2: The median is the middle number in a data set when the numbers are listed in either ascending or descending order. The mid-value among observations is not influenced by extreme values as the median is independent of extreme values.
Option 3: The mode is the value that occurs the most often in a data set and the range is the difference between the highest and lowest values in a data set. The mode is also not influenced by extreme values as it is independent of extreme values.
Therefore, the correct answer is option 1.

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