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In Statistics what is a quantity that measures the variation of a population or sample relative to its mean?
Inter-quartile range, other percentile ranges, mean absolute variation, variance, standard error, standard deviation are all possible measures.
What does it mean when the box of a box plot is small?
It means either that your horizontal scale is too small or that the Inter-Quartile Range (IQR) is small. A small IQR is an indication of relatively small variation between observations.
What does interquartile mean in math?
If a set of data are ordered by size, then the lower quartile is a value such that a quarter of the data are smaller than it. The upper quartile is a value such that a quarter of the data are larger than it. Interquartile means between the quartiles.
If you are given a box plot without any numbers on the number line what can you tell about the data used to make the plot?
You could tell whether or not the data were skewed but that is all. You could make no assessment about the central tendency (mean) or spread (range, inter-quartile range).
Is the interquartile range or IQR is found by subtracting the mean from the maximum value of a data set?
No. The IQR is found by finding the lower quartile, then the upper quartile. You then minus the lower quartile value from the upper quartile value (hence "interquartile"). This gives you the IQR.
