* SD = standard deviation

So The average (arithmetic mean) is equal to the sum of the n numbers divided by [n].

*Average* = *sum / count* = (*a*_{1}+*a*_{2}+...+*a _{n}*) /

The average of 1,4,5 is:

*Average* = (1+4+5) / 3 = 10/3 = 3.3333333333

The average of 1,4,9 is:

*Average* = (1+4+9) / 3 = 14/3 = 4.6666666667

The average of 3,4,9 is:

*Average* = (3+4+9) / 3 = 16/3 = 5.3333333333

The weighted average (*x*) is equal to the sum of the product of the weight (w_{i}) times the data number (x_{i}) divided by the sum of the weights:

Find the weighted average of class grades (with equal weight) 50,50,80,80,80,90:

Since the weight of all grades are equal, we can calculate these grades with simple average or we can cound how many times each grade apear and use weighted average.

*x* = (50+50+80+80+80+90) / 6 = 430/6 = 71.666666667

Find the weighted average of class grades (with equal weight) 50,50,70,70,80,90:

Since the weight of all grades are equal, we can calculate these grades with simple average or we can cound how many times each grade apear and use weighted average.

*x* = (50+50+70+70+80+90) / 6 = 410/6 = 68.333333333

Find the weighted average of class grades (with equal weight) 50,50,90,90,80,90:

Since the weight of all grades are equal, we can calculate these grades with simple average or we can cound how many times each grade apear and use weighted average.

*x* = (50+50+90+90+80+90) / 6 = 450/6 = 75

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