Question

Which of the following statements is true about the given line plot?

Answer 1

Since the distribution is symmetric, mean is the best measure of the center, and MAD is the best measure of the variation.
The observations are 4, 6, 6, 8, 8, 8, 8, 10, 10 and 12.
Mean $=\frac{\text{sum of observations}}{10}=\frac{4+6+6+8+8+8+8+10+10+12}{10}=8$
MAD $=\frac{|8-4|+|8-6|+|8-6|+|8-8|+|8-8|+|8-8|+|8-8|+|8-10|+|8-10|+|8-12|}{10}=1.6$
Hence, Option B is correct.