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No. The upper quartile, by definition, must be at least as large as the lower quartile.

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13y ago

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Can an interquartile range be negative?

No, the interquartile range (IQR) cannot be negative. The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1), which represents the spread of the middle 50% of a dataset. Since Q3 is always greater than or equal to Q1 in a sorted dataset, the IQR is always zero or positive.


What is the IQR of 15 20 20 10?

The IQR is 7.5


How do you finde iqr?

IQR = Inter-Quartile Range = Upper Quartile - Lower Quartile.


What is the math term for IQR?

IQR = Inter Quartile RangeIQR = Inter Quartile RangeIQR = Inter Quartile RangeIQR = Inter Quartile Range


What is the IQR of 44 46 1 68 87 99?

The IQR is 48. But for only 6 observations, it is an absurd measure to use.


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.


What does iqr stand for in math?

IQR stands for Interquartile Range in mathematics. It is a measure of statistical dispersion that represents the range within which the central 50% of a data set lies, specifically between the first quartile (Q1) and the third quartile (Q3). The IQR is calculated by subtracting Q1 from Q3 (IQR = Q3 - Q1) and is often used to identify outliers in a data set.


Can a mean and SD be calculated from median and IQR?

No.


Why is the range always greater than the IQR?

Because the IQR excludes values which are lower than the lower quartile as well as the values in the upper quartile.


How does finding the IQR hep you identify the variability of set of data?

The IQR gives the range of the middle half of the data and, in that respect, it is a measure of the variability of the data.


How is IQR calculated?

The Interquartile Range (IQR) is calculated by first determining the first quartile (Q1) and the third quartile (Q3) of a data set. Q1 represents the 25th percentile, while Q3 represents the 75th percentile. The IQR is then computed by subtracting Q1 from Q3 (IQR = Q3 - Q1), which measures the spread of the middle 50% of the data. This statistic is useful for identifying outliers and understanding variability in the data.


Does the outlier affect the interquartile?

No. The IQR is a resistant measurement.