If the distribution is positively skewed distribution, the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency. This is true if we assume the distribution has a single mode.
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Yes. Central tendency is the way data clusters around a value. Even if the distribution of the value is skewed, the median would be the best indicator of central tendency because of the way the data is clustered.
Central tendency is used with bidmodal distribution. This measure if dispersion is similar to the median of a set of data.?æ
It is called central tendency because it represents the averages. Central tendency has three measurements: # Mean # Mode # Median
The mean may be a good measure but not if the data distribution is very skewed.
Because, whatever the underlying distribution, as more and more samples are taken from ANY population, the average of those samples will have a standard normal distribution whose mean will be their average. The normal (or Gaussian) distribution is symmetric and so its mean lies at the centre of the probability distribution.