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Q: Is it possible for the IQR of a set to be equal to the range?
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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 is an outlier in stats?

An outlier, in a set of data, is an observation whose value is distant from other observations. There is no exact definition but one commonly used definition is any value that lies outside of Median ± 3*IQR IQR = Inter-Quartile Range.


What are all the possible outcomes of a function?

The set of all possible outcomes is the range.


If this data set is not symmetrical why does the mean nearly equal the range?

The mean being equal to the range has nothing to do with symmetry.


How can you use a calculation to decide whether a data point is an outlier in a data set?

The exact definition of which points are considered to be outliers is up to the experimenters. A simple way to define an outlier is by using the lower (LQ) and upper (UQ) quartiles and the interquartile range (IQR); for example: Define two boundaries b1 and b2 at each end of the data: b1 = LQ - 1.5 × IQR and UQ + 1.5 × IQR b2 = LQ - 3 × IQR and UQ + 3 × IQR If a data point occurs between b1 and b2 it can be defined as a mild outlier If a data point occurs beyond b2 it can be defined as an extreme outlier. The multipliers of the IQR for the boundaries, and the number of boundaries, can be adjusted depending upon what definitions are required/make sense.

Related questions

What does IQR mean in math?

The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles. Quartiles divide a rank-ordered data set into four equal parts.


How do you find the IQR of a set of data?

Iqr stands for inter quartile range and it is used to find the middle of the quartiles in a set of data. To find this, you find the lower quartile range and the upper quartile range, and divide them both together.


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.


What does the Interquartile range tell you about the data set?

It tells you that middle half the observations lie within the IQR.


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 is the range of this data set 64 76 46 88 88 43 99 50 55?

for the data set shown below find the interwar range IQR. 300,280,245,290,268,288,270,292,279,282


What is an outlier in stats?

An outlier, in a set of data, is an observation whose value is distant from other observations. There is no exact definition but one commonly used definition is any value that lies outside of Median ± 3*IQR IQR = Inter-Quartile Range.


What does the IQR tell you about a data set?

It gives a measure of the spread of the data.


What does IQR mean in mathematics?

It stands for the Inter-Quartile Range. Given a set of observations, put them in ascending order. The lower quartile (Q1) is the observation such that a quarter of the observations are smaller (and three quarters are at least as large). The upper quartile (Q3) is the observation such that a quarter are larger. [The middle one (Q2) is the median.] Then IQR = Q3 - Q1


Is range in math an output value?

in math, domain is the set of possible inputs to a function while range is the set of possible outputs.


What are all the possible outcomes of a function?

The set of all possible outcomes is the range.


If this data set is not symmetrical why does the mean nearly equal the range?

The mean being equal to the range has nothing to do with symmetry.