Question

If the mean of the data $x,x+1,x+3,x+6$ is $\frac{15}{2}$, then the value of $x$ is:

• A. $3$
• B. $4$
• C. $5$
• D. $6$

Answer 1

The correct option is C $5$

Given data is $x,x+1,x+3,x+6$ and

Mean of the data is $\frac{15}{2}$

Mean is the average of the values in the data set.

That is, $\text{Mean}=\frac{\text{Sum of the elements}}{\text{Total number of elements}}$.

$⟹$ $\text{Mean}=\frac{x+x+1+x+3+x+6}{4}$

$⟹\frac{4x+10}{4}=\frac{15}{2}$

$⟹4x+10=\frac{15}{2}\times 4$

$⟹4x+10=30$

$⟹4x=30-10$

$⟹x=\frac{20}{4}=5$.

Hence, option $C$ is correct.