Answer:
The distance from the midpoint of the interval to either endpoint is 6 units
Explanation:
step 1
Find the midpoint of the interval
The formula to calculate the midpoint between two numbers is equal to
![M=((x1+x2)/(2))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tojt0yfvoav9v33yr9rfd9kb772mtrjdx3.png)
substitute
![M=((2+14)/(2))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xilykpk3p5go2labrc0qqqp0hc84ra16qr.png)
![M=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iod9v2fsydw4vvbukfsu03thb1k0q8pj5d.png)
step 2
Find the distance from the midpoint of the interval to either endpoint.
14-8=6 units
or
8-2=6 units
therefore
The distance from the midpoint of the interval to either endpoint is 6 units