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Mean- If there are no outliers. A really low number or really high number will mess up the mean.

Median- If there are outliers. The outliers will not mess up the median.

Mode- If the most of one number is centrally located in the data.


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โˆ™ 2011-03-02 23:12:52
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

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Q: How can you determine which measure of central tendency is best for the set if data?
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Which measure of central tendency best represents data?


Which Measure Of Central Tendency Best Describes This Situation The Favorite Fruit Sold In The Cafeteria?

The mode.

Which measure of central tendency best describes the data set without an outlier?

The mean may be a good measure but not if the data distribution is very skewed.

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

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..

What is the best central measures of tendency?

There is no universal best. The mode is sometimes mentioned as a measure of central tendency but it is not really one. For example, if studying rolls of a die, the mode has nothing whatsoever to do with central tendency. However, it is the only summary measure that makes sense when the observed variable is nominal or categoric. For example, if the data are about the colours of cars, the mean or median colour makes no sense. The mean and median have advantages over the other in different circumstances. The Central Limit Theorem and Normal approximation favour the mean but the unrestricted mean is vulnerable to outliers.

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