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The arithmatic mean is not a best measure for central tendency.. It is because any outliers in the dataset would affect its value thus it is considered not a robust measure.. The mode or median however would be better to measure central tendency since outliers wont affect it value..
Consider this example :
Arithmatic mean dan mode from 1, 5, 5, 9 is 5.. If we add 30 to the dataset then the arithmatic mean will be 10 but the mode will still same.. Mode is more robust than arithmatic mean..
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What is an arithmetic mean?
An arithmetic mean is a measure of central tendency of a set of values computed by dividing the sum of the values by the number of values.
Is range a measure of central tendency?
no it is a measure of dispersion.
Why is range not a measure of central tendency?
Measures of central tendency are averages. Range , the difference between the maximum and the minimum, is a measure of dispersion or variation.
Which measure of central tendency is the most accurate measure of data?
That depends on the data.
Which measure of central tendency best represents data?
Median
