Answer:
(5, 50)
Step-by-step explanation:
[tex]\textsf{Balance point}=(\overline{x}, \overline{y})[/tex]
To calculate the balance point of the data, determine the mean of the x-values and the mean of the y-values.
[tex]\boxed{\sf Mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}}[/tex]
x-values: 1, 3, 4, 8, 9.
[tex]\implies \textsf{Mean}\;\overline{x}=\dfrac{1+3+4+8+9}{5}=5[/tex]
y-values: 30, 50, 20, 90, 60.
[tex]\implies \textsf{Mean}\;\overline{y}=\dfrac{30+50+20+90+60}{5}=50[/tex]
Therefore, the balance point is (5, 50).
