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Q: You know the minimum the maximum and the 25th 50th and 75th percentiles of a distribution. what measures of central tendency or variability can you determine?

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Related questions

Why are measures of variability essential to inferential statistics?

The usual measures of variability cannot.

The answer lies in the question! The first lot measure where the centre of a distribution or observation lies while the second lot are a measure of the distance of individual observations from the centre.

Median, mode, quartiles, quintiles and so on, except when you get to very large number of percentiles.

measures of variability of ungroupdata

The range, inter-quartile range (IQR), mean absolute deviation [from the mean], variance and standard deviation are some of the many measures of variability.

It measures the error or variability in predicting Y.

Standard error, standard deviation, variance, range, inter-quartile range as well as measures based on other percentiles.

The distribution is skewed to the right.

Variability and Central Tendency (Stats Student)

Determine and communicate protective measures

Sets of data have many characteristics. The central location (mean, median) is one measure. But you can have different data sets with the same mean. So a measure of dispersion is used to determine whether there is a little or a lot of variability within the set. Sometimes it is necessary to look at higher order measures like the skewness, kurtosis.