Question

1.3 analyzing and comparing distributions of data
objective 1: identify which measures of center (and spread) are resistant to extreme values and select the appropriate measure based on the shape of a distribution
resistant
not resistant
use with which type of distributions: skewed or symmetric?
use with which type of distributions: skewed or symmetric?
ex describe the relationship between the mean and median in each plot. circle the measure that best describes the center of the distribution.

Explanation:

Step1: Recall resistant measures

Median and inter - quartile range (IQR) are resistant to extreme values. Mean and standard deviation are not.

Step2: Recall distribution - measure relationship

For skewed distributions, median and IQR are preferred as they are not affected by outliers. For symmetric distributions, mean and standard deviation can be used as the data is evenly distributed and extreme values are balanced.

Answer:

Resistant: Median, Inter - quartile range (IQR); Use with skewed distributions.
Not Resistant: Mean, Standard deviation; Use with symmetric distributions.