Question

question 4 of 6
iqr
this is the range of the middle half of differences in mpg (highway - city) for 21 model year 2020 midsize cars.
standard deviation
this is the difference between the largest and smallest difference in mpg (highway - city) for 21 model year 2020 midsize cars.
answer bank
this tells us the amount by which the difference in mpg (highway - city) for 21 model year 2020 midsize cars typically varies from the mean difference.
which is the more appropriate measure of variability for this distribution: the interquartile range or the standard deviation?

Explanation:

The inter - quartile range (IQR) is the range of the middle half of the data. The standard deviation measures the amount by which data points typically vary from the mean. If the data has outliers, the IQR is a more robust measure of variability as it is not affected by extreme values, while the standard deviation is sensitive to outliers. Without knowing if the data on MPG differences has outliers, if there are likely to be outliers, the IQR is more appropriate.

Answer:

If there are outliers in the MPG (highway - city) differences for the 21 model year 2020 midsize cars, the interquartile range (IQR) is the more appropriate measure of variability. If there are no outliers, the standard deviation can be used as it takes into account all data points' deviation from the mean.