Question

Which measure should be calculated the goal is to describe the amount of variability in the data set and the data set is skewed right.

Answer 1

The measure that should be calculated to describe the amount of variability in a skewed right data set is the interquartile range (IQR).

Step-by-step explanation:

When describing the amount of variability in a skewed right data set, the measure that should be calculated is the interquartile range (IQR). The IQR measures the spread of the middle 50% of the data, which is less affected by outliers in a skewed distribution. To calculate the IQR, you need to find the first quartile (Q1) and the third quartile (Q3) of the data set.

Here are the steps to calculate the IQR:

1. Sort the data set in ascending order.
2. Find the median of the data set, which is the second quartile (Q2).
3. Find the median of the lower half of the data, which is Q1.
4. Find the median of the upper half of the data, which is Q3.
5. Subtract Q1 from Q3 to get the IQR.