Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set. TrueFalse

Question

Mathematics

Rachael Parks

13 September, 06:52

Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set. TrueFalse

+1

Answers (1)

Know the Answer?

Kylan Lane · Answer 1

True

Step-by-step explanation:

The Interquartile Range (IQR) is a more robust measure of variability because it excludes outliers from the distribution. Due to this fact, the IQR works with only 50% of the central data excluding the outlying values in the data set from its calculation.

The variance is affected by outliers, and the Range is way more affected by only the first and the last observation.

So, yes the IQR is the least influenced. Therefore, a more robust measure of variability.