Question

The average of two numbers $4$ and $\frac{7}{2}$ is represented on a number line. Select the appropriate statement from the given options.

• A. The average is $3.75$. It will lie to the right of $0$ on number line.
• B. The average is $3.75$. It will lie to the left of $0$ on number line.
• C. The average is $2.75$. It will lie to the right of $0$ on number line.
• D. The average is $2.75$. It will lieto the left of $0$ on number line.

Answer 1

The correct option is A The average is $3.75$. It will lie to the right of $0$ on number line.

Note
Average $=\frac{\text{Sum of numbers}}{\text{Total numbers}}$
Here,
Total numbers $=2$
Numbers given $=4,\frac{7}{2}$
So, average of $4$ and $\frac{7}{2}=\frac{(4+\frac{7}{2})}{2}$

$=\frac{\left(\frac{8+7}{2}\right)}{2}$

$=\frac{15}{2}÷\frac{2}{1}$

$=\frac{15}{2}\times \frac{1}{2}$

$=\frac{15}{4}$
Convert $\frac{15}{4}$ into decimal
$\frac{15}{4}=3.75$
The averageis $3.75$, which is positive. Hence, it will lie to the right of 0 on the number line between 3 and 4 as shown in the figure.