Question

If the range of $14,12,17,18,16,x$ is $20$ and $x>0$, the value of $x$ is:

• A. $2$
• B. $28$
• C. $32$
• D. cannot be determined

Answer 1

Answer: (C)

$32$

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

Given data set is $14,12,17,18,16,x$ and the range is given as $20$.

In the given set the smallest value is $12$ and the largest value is $18$.

Therefore the range is $18-12=6\ne 20$

Hence, $18$ is not the largest value. Variable $x$ is the largest value.

Therefore, range is $x-12=20$

$⟹x=20+12=32$