Question

Three sections of Econ 002 have 50, 50, and 100 students. Find the simple average and the weighted average. Include the units in your answer if this is an absolute measure.

Answer 1

In this particular example it would be insufficient to find the weighted average as the following reason:-

Simple Average = Total Number of Students/Number of Sections

= (50 +50 +100)/3

= 200/3 ; = 66.67 or 67 students per section (approx)

Weighted Average = (Frequency * Weighted Factor)/Sum of Weighted Factor

Here weighting factor would be the section that these student resides.

Section	Number of Students	Weightages	Weighting Factor
A	50	1	1/3
B	50	1	1/3
C	100	1	1/3
		3

Therefore, now using above equation of weighted average = (50*(1//3) + 50*(1/3) + 100*(1/3))/(1/3 + 1/3 + 1/3)

= 66.67 or 67 students per section (approx)