Asked by yasmine harper on May 04, 2024
Verified
To overcome the effects of outliers on the range for a set of data, one could instead calculate the ______.
A) interquartile range
B) standard deviation
C) variance
D) mean
Interquartile Range
The difference between the 75th and 25th percentiles of a data set, representing the middle 50% of the data.
Outliers
Data points that differ significantly from the majority of a data set, often indicating variability in a measurement, experimental errors, or a novelty.
Standard Deviation
A statistical measure that quantifies the amount of variability or spread in a set of data points.
- Comprehend the role of the interquartile range in mitigating the influence of outliers.
Verified Answer
KD
Katrine DoblonMay 09, 2024
Final Answer :
A
Explanation :
The interquartile range (IQR) is a measure of variability that is not affected by outliers. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of the data. This measure only takes into account the middle 50% of the data, ignoring the extreme values. Therefore, it is a better measure of spread for skewed data or data with outliers. The standard deviation and variance are both affected by outliers, while the mean can be heavily influenced by extreme values.
Learning Objectives
- Comprehend the role of the interquartile range in mitigating the influence of outliers.