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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..

Q: Why is arithmetic mean considered as the best measure of central tendency?

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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.

no it is a measure of dispersion.

Measures of central tendency are averages. Range , the difference between the maximum and the minimum, is a measure of dispersion or variation.

That depends on the data.

Median

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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.

It yields to inconsistent results when used to average normalized set of values.

For which measure of central tendency will the sum of the deviations always be zero?

There is no meaningful average wen data are categorical (qualitative). Also, the arithmetic mean is not a good measure of central tendency when the data distribution is skewed.

no it is a measure of dispersion.

Measures of central tendency are averages. Range , the difference between the maximum and the minimum, is a measure of dispersion or variation.

It is one measure - not the only one - of a "central tendency". It is the same as the "average". To calculate the average, just add all the numbers, and divide the result by the amount of numbers.

Measure of averages.

Mode is the only measure of central tendency to measure quantitative dataor qualitative data.

It is the measure of central tendency.

The average or mean is one measure of central tendency. There are several.

The popular two ones are the mean and median. Often mode is included in the list even though it is not a measure of central tendency.