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In general you cannot. You will need to know more about the distribution of the variable - you cannot assume that the distribution is uniform or Normal.

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Q: How do you find the interquartile range when given the mean and standard deviation?
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Related questions

Does an outlier have a greater effect on the standard deviation or interquartile range?

On the standard deviation. It has no effect on the IQR.


What are are measures of variability or dispersion within a set of data?

Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.


What are the common measures of dispersion?

Range, standard deviation, variance, root mean square, interquartile range


What is considered measures of variabilty is it mean interquartile range or mean absolute deviation?

interquartile range or mean absolute deviation.


What is a measure of the spread of a set of data?

The standard deviation is the value most used. Others are variance, interquartile range, or range.


What does interquartile range mean?

The interquartile range is the upper quartile (75th percentile) minus (-) the lower percentile (75th percentile). The interquartile range uses 50% of the data. It is a measure of the "central tendency" just like the standard deviation. A small interquartile range means that most of the values lie close to each other.


What is best Interquartile range or Median absolute deviation?

The answer depends on the purpose. The interquartile range and the median absolute deviation are both measures of spread. The IQR is quick and easy to find whereas the MAD is not.


What measures are used to describe variability?

Generally, the standard deviation (represented by sigma, an O with a line at the top) would be used to measure variability. The standard deviation represents the average distance of data from the mean. Another measure is variance, which is the standard deviation squared. Lastly, you might use the interquartile range, which is often the range of the middle 50% of the data.


What do you mean by measures of central tendency and dispersion?

Common measures of central tendency are the mean, median, mode. Common measures of dispersion are range, interquartile range, variance, standard deviation.


How do you find the semi-interquartile range with only the mean and standard deviation?

In general, you cannot. If the distribution can be assumed to be Gaussian [Normal] then you could use z-scores.


What is percentile deviation?

A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.


What is the interquartile range of 16171922232527363840404546?

what is the interquartile range of 16,17,19,22,23,25,27,36,38,40,40,45,46