Question

If the range of $15,14,x,25,30,35$ is $23$, then the least possible value of $x$ is

• A. $14$
• B. $12$
• C. $13$
• D. $11$

Answer 1

Answer: (B)

$12$

Range is the difference between the smallest value and largest value of the data set.

Given data set is $15,14,x,25,30,35$ and

Range is given as $23$

In the given set the smallest value is $14$ and the largest value is $35$.

Therefore the range is $35-14=21\ne 23$

Hence, $14$ is not the smallest value. Variable $x$ is the smallest value.

Therefore, range is $35-x=23⟹x=35-23=12$