what information about the sample of a mean not provide
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Information about the scale, spread or dispersion of the population from which the sample was drawn.
The mean, by itself, does not provide sufficient information to make any assessment of the sample variance.
"The advantage is that the mean takes every value into account. A disadvantage is that it can be affected by extreme values. " The mean or more properly the "arithmetic mean" of a sample will eventually approximate the mean of the distribution of the population as the sample size increases. If the population distribution is skewed (not symmetrical), the mode and median will not provide an estimate of the mean, even as the sample size becomes large.
The sample mean may differ from the population mean, especially for small samples.
What is the sample mean?
The same basic formula is used to calculate the sample or population mean. The sample mean is x bar and the population mean is mu. Add all the values in the sample or population and divide by the number of data values.