Answer:
Option D, The distributions are somewhat similar
Step-by-step explanation:
Step 1: Determine the means-to-MAD ratio
Data Set 1 → Mean = 173.5, MAD = 3.9
Data Set 2 → Mean = 161.2, MAD = 4.1
[tex]Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}[/tex]
[tex]Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}[/tex]
[tex]Ratio = \frac{-12.3|}{0.2}[/tex]
[tex]Ratio = -61.5[/tex]
Step 2: Determine if the distributions are similar or not
Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.
Answer: Option D, The distributions are somewhat similar