Question

For which of the following lists of $7$ numbers is the average (arithmetic mean) less than the median?

• A. $1,2,3,8,9,10,11$
• B. $3,4,5,8,11,12,13$
• C. $5,5,5,8,11,11,11$
• D. $5,6,7,8,9,10,11$
• E. $5,6,7,8,9,10,20$

Answer 1

The correct option is A $1,2,3,8,9,10,11$

Consider option $A$.

$1,2,3,8,9,10,11$.

The arithmetic mean of those numbers is $\frac{(1+2+3+8+9+10+11)}{7}=\frac{44}{7}=6.3$(approx).

The median of those numbers is $8$.

Here mean is less than median.

So, correct answer is option A.