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

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14y 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 does a negative IQR mean?

The Interquartile Range (IQR) is a measure of statistical dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. A negative IQR would imply that Q1 is greater than Q3, which is not possible in a properly ordered dataset. This situation might indicate an error in data collection or processing, as quartiles should always follow the order Q1 ≤ Q3.


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.


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.


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.


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

No.


What does iqr represent?

The interquartile range (IQR) represents the range within which the central 50% of a data set lies, specifically between the first quartile (Q1) and the third quartile (Q3). It is calculated by subtracting Q1 from Q3 (IQR = Q3 - Q1) and is used to measure statistical dispersion. The IQR is particularly useful for identifying outliers, as it provides a robust measure of variability that is less affected by extreme values.