Question

When should the IQR should be used to measure variance?

Select one:

When an outlier exists.

When data is gathered from a sample of the population.

When a data set does not have an outlier.

When the data set includes decimal values.

Answer 1

When an outline exists.

Explanation:

As compared to the range, the interquatile range is somewhat resistant to the outliers. This is because the interquartile range itself is not always affected by the outliers if they lie at both ends of the data sets.

The IQR only describes the range of the middle 50% of the values in a data set, which is calculated as the difference between the 75th and 25th percentile values.

It also helps in the identification of these outliers using mild outliers being those values lower than the 25th quartile minus 1.5×IQR, or those values greater than the 75th quartile plus 1.5×IQR.