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Which measure of central tendency is most influenced by outliers?
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Which measure of central tendency is robust when outliers are present?
mean
What measure of central tendency is robust when outliers are present?
Meanlol
Is the best measure of central tendency always the mean?
Its the one most commonly used but outliers can seriously distort the mean.
What is the best measure of central 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.
What is dispersion method?
It is the measure of central tendency.
Which measure of central tendency is robust when outliers are present?
mean
What measure of central tendency is robust when outliers are present?
Meanlol
When is the mean used as a measure of central tendency?
When there aren't extreme values (outliers)
When given a set of data that appears to contain outliers which measure of central tendency is most appropriate to use?
Coefficient of Determination
Is the best measure of central tendency always the mean?
Its the one most commonly used but outliers can seriously distort the mean.
What is the appropriate measure of central tendency for age?
The appropriate measure of central tendency for age is the median. This is because age is a continuous variable and can have outliers or extreme values, which can skew the mean. The median provides a more robust estimate of the center of the distribution.
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..
When is each measure of central tendency most useful?
Mode: Data are qualitative or categoric. Median: Quantitative data with outliers - particularly if the distribution is skew. Mean: Quantitative data without outliers, or else approx symmetrical.
How can you determine which measure of central tendency is best for the set if data?
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. :)
Under what conditions might you prefer to use the median rather than the mean as the best measure of central tendency?
the median is perferred when the data is strongly skewed or has outliers. =)
How do you find the best measure of central tendency when using outliers?
A weighted mean is probably best. Certainly better than a median which throws away information from most of the observations.
Which measure of central tendency will the sum of the deviations always be zero?
For which measure of central tendency will the sum of the deviations always be zero?
