Which measure of variability is appropriate when a sample is likely to contain one or several extreme values? Group of answer choices The interquartile range. The variance. The range. The standard deviation.

The appropriate measure of variability when a sample is likely to contain one or several extreme values is "The interquartile range".

This is because the interquartile range (IQR) is a measure of statistical dispersion, or in simpler terms, it measures the spread of the middle 50% of values in a data set, which is less affected by outliers or extreme values.

Here's a step-by-step explanation:

1. The range, variance, and standard deviation are all measures of variability that are greatly influenced by extreme values. This is because they take into account all values in the data set, including the extreme ones.

2. The range is simply the difference between the maximum and minimum values in the data set, so if there's an extreme value, the range will be very large.

3. Variance and standard deviation both involve squaring the differences between each data point and the mean. If there's an extreme value, this difference will be very large, and squaring it will make it even larger, greatly increasing the variance or standard deviation.

4. On the other hand, the interquartile range only considers the middle 50% of values (those between the 25th and 75th percentiles). This means it's not affected by extreme values, making it the most appropriate measure of variability in this case.