helena is comparing two sets of data. neither set is symmetrical. which measures of center and variability…

helena is comparing two sets of data. neither set is symmetrical. which measures of center and variability would be most effective to use when making comparisons between the two data sets?\nmean and mad\nmean and iqr\nmedian and mad\nmedian and iqr

helena is comparing two sets of data. neither set is symmetrical. which measures of center and variability would be most effective to use when making comparisons between the two data sets?\nmean and mad\nmean and iqr\nmedian and mad\nmedian and iqr

Answer

Answer:

D. median and IQR

Explanation:

Step1: Recall data - set properties

When data is not symmetrical (skewed), the mean is affected by outliers.

Step2: Choose measure of center

The median is a better measure of center for skewed data as it is not influenced by extreme values.

Step3: Choose measure of variability

The inter - quartile range (IQR) is a robust measure of variability for non - symmetrical data. It represents the middle 50% of the data and is not affected by outliers. The mean absolute deviation (MAD) and standard deviation are more appropriate for symmetric data. So, for non - symmetrical data, median and IQR are the best measures of center and variability respectively.