I got 27 for the average rate of change here is that correct

Given: the function
[tex]y=x^3[/tex]and x= 1 to 3.
Find: the average rate of change of given function.
Explanation: At x=1 the valye of y=1
At x=3 the value of y =27
the average rate of change of a function is equal to
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{27-1}{3-1}=\frac{26}{2}=13[/tex]Final answer: the required answer is 13.