how to calculate the average (for each three values of y)
y=[2 3 5 3 4 2 3 4 5 3 2 7 8 6 5 5 4 3 3 3 2 ]
you should take each three values and find the average for them
x(1 to 3)= (y(1)+y(2)+y(3))/3 =(2+3+5)/3 =10/3 = 3.33333
x(4 to 6)= (y(4)+y(5)+y(6))/3 =(3+4+2)/3 =9/3 =3
x(7 to 9)= (y(7)+y(8)+y(9))/3 =(3+4+5)/3 =12/3 =4
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x(19 to 21)= (y(19)+y(20)+y(21))/3 =(3+3+2)/3 =8/3 =2.66so your answer will be
x= [ 3.3333 3.3333 3.3333 3.0000 3.0000 3.0000 4.0000 4.0000 4.0000 4.0000 4.0000 4.0000 6.3333 6.3333 6.3333 4.0000 4.0000 4.0000 2.6667 2.6667 2.6667 ]
note: you need to transpose x as final answer
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this is not really a moving average.
This is not really moving average as it was said by Marcel. The moving average moves forward 1 space at a time. However, it is possible to use the moving average for finding the solution.