Which measures of center and variability can be used to most accurately compare the two data sets? mean and MAD mean and IQR median and MAD median and IQR

Question

Mathematics

Antonio Fletcher

16 November, 03:36

Which measures of center and variability can be used to most accurately compare the two data sets? mean and MAD mean and IQR median and MAD median and IQR

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Answers (2)

Know the Answer?

Melanie Roberson · Answer 1

Median and IQR

Joey Mckay · Answer 2

Median and IQR

Step-by-step explanation:

If we are to accurately compare two data sets, the best measure of central tendency is median and best measure of variability is the MAD.

The reason is that:

1. Median is not affected by outlier or extreme value. Due to this, if we use the mean, it can be misleading if there is any case of outlier (s) in the data sets.

2. The interquartile range (IQR) is the middle half of the data. It uses the concept of median to operate - think about the median value that splits the dataset in half. Similarly, you can divide the data into quarters. This also is not affected by outlier (s) or extreme value (s).

NB: When we say middle half or middle number, we assumed you have sorted the data sets either in ascending order or descending order. This will put the data sets in order of their sizes. E. g., 1 < 2 < 3, etc.