Q: Is it possible for the IQR of a set to be equal to the range?

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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.

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 Â± 3*IQR IQR = Inter-Quartile Range.

The set of all possible outcomes is the range.

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

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.

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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.

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.

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.

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

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.

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

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 Â± 3*IQR IQR = Inter-Quartile Range.

It gives a measure of the spread of the data.

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

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

The set of all possible outcomes is the range.

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