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If the mean of a symmetric distribution is 130 which of these values could be the median of the distribution?
If it is a symmetric distribution, the median must be 130.
When the mean of a distribution of scores of measures is higher than the median the distribution would be?
The distribution is skewed to the right.
Is the Mean for distribution of means less than population mean?
No.
Is Mean is more sensitive to skewness than the median?
If the distribution is positively skewed , then the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (If it is a uni-modal distribution). If the distribution is negatively skewed then mean will always be the lowest estimate of central tendency and the mode will be the highest estimate of central tendency. In both positive and negative skewed distribution the median will always be between the mean and the mode. If a distribution is less symmetrical and more skewed, you are better of using the median over the mean.
Normal distribution it is always true that mean equals median equals mode?
Yes- this can be proved from the normal distribution function.
