Weighted Average worksheet

1. Weighted average: 90

1. Multiply value 1 by its weight, so it counts as much as it should

   $90\times 24$$=\mathrm{2,160}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $90\times 50$$=\mathrm{4,500}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $90\times 18$$=\mathrm{1,620}$

4. Add up those results to get the weighted sum

   $\mathrm{2,160}+\mathrm{4,500}+\mathrm{1,620}$$=\mathrm{8,280}$

5. Add up the weights to get the total weight

   $24+50+18$$=92$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{8,280}}{92}$$=90$

2. Weighted average: 86.55

1. Multiply value 1 by its weight, so it counts as much as it should

   $90\times 24$$=\mathrm{2,160}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $80\times 41$$=\mathrm{3,280}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $95\times 22$$=\mathrm{2,090}$

4. Add up those results to get the weighted sum

   $\mathrm{2,160}+\mathrm{3,280}+\mathrm{2,090}$$=\mathrm{7,530}$

5. Add up the weights to get the total weight

   $24+41+22$$=87$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{7,530}}{87}$$=86.551724$

3. Weighted average: 85.56

1. Multiply value 1 by its weight, so it counts as much as it should

   $90\times 36$$=\mathrm{3,240}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $85\times 70$$=\mathrm{5,950}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $78\times 16$$=\mathrm{1,248}$

4. Add up those results to get the weighted sum

   $\mathrm{3,240}+\mathrm{5,950}+\mathrm{1,248}$$=\mathrm{10,438}$

5. Add up the weights to get the total weight

   $36+70+16$$=122$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{10,438}}{122}$$=85.557377$

4. Weighted average: 85.52

1. Multiply value 1 by its weight, so it counts as much as it should

   $90\times 34$$=\mathrm{3,060}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $85\times 62$$=\mathrm{5,270}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $78\times 16$$=\mathrm{1,248}$

4. Add up those results to get the weighted sum

   $\mathrm{3,060}+\mathrm{5,270}+\mathrm{1,248}$$=\mathrm{9,578}$

5. Add up the weights to get the total weight

   $34+62+16$$=112$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{9,578}}{112}$$=85.517857$

5. Weighted average: 79.01

1. Multiply value 1 by its weight, so it counts as much as it should

   $80\times 21$$=\mathrm{1,680}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $80\times 52$$=\mathrm{4,160}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $75\times 18$$=\mathrm{1,350}$

4. Add up those results to get the weighted sum

   $\mathrm{1,680}+\mathrm{4,160}+\mathrm{1,350}$$=\mathrm{7,190}$

5. Add up the weights to get the total weight

   $21+52+18$$=91$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{7,190}}{91}$$=79.010989$

6. Weighted average: 96.4

1. Multiply value 1 by its weight, so it counts as much as it should

   $138\times 30$$=\mathrm{4,140}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $76\times 50$$=\mathrm{3,800}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $85\times 20$$=\mathrm{1,700}$

4. Add up those results to get the weighted sum

   $\mathrm{4,140}+\mathrm{3,800}+\mathrm{1,700}$$=\mathrm{9,640}$

5. Add up the weights to get the total weight

   $30+50+20$$=100$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{9,640}}{100}$$=96.4$

7. Weighted average: 85.1

1. Multiply value 1 by its weight, so it counts as much as it should

   $90\times 30$$=\mathrm{2,700}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $85\times 50$$=\mathrm{4,250}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $78\times 20$$=\mathrm{1,560}$

4. Add up those results to get the weighted sum

   $\mathrm{2,700}+\mathrm{4,250}+\mathrm{1,560}$$=\mathrm{8,510}$

5. Add up the weights to get the total weight

   $30+50+20$$=100$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{8,510}}{100}$$=85.1$

8. Weighted average: 80.34

1. Multiply value 1 by its weight, so it counts as much as it should

   $65\times 22$$=\mathrm{1,430}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $80\times 49$$=\mathrm{3,920}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $100\times 18$$=\mathrm{1,800}$

4. Add up those results to get the weighted sum

   $\mathrm{1,430}+\mathrm{3,920}+\mathrm{1,800}$$=\mathrm{7,150}$

5. Add up the weights to get the total weight

   $22+49+18$$=89$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{7,150}}{89}$$=80.337079$

9. Weighted average: 93.59

1. Multiply value 1 by its weight, so it counts as much as it should

   $110\times 28$$=\mathrm{3,080}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $85\times 58$$=\mathrm{4,930}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $96\times 16$$=\mathrm{1,536}$

4. Add up those results to get the weighted sum

   $\mathrm{3,080}+\mathrm{4,930}+\mathrm{1,536}$$=\mathrm{9,546}$

5. Add up the weights to get the total weight

   $28+58+16$$=102$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{9,546}}{102}$$=93.588235$

10. Weighted average: 85.53

1. Multiply value 1 by its weight, so it counts as much as it should

   $86\times 25$$=\mathrm{2,150}$

2. Multiply value 2 by its weight, so it counts as much as it should

   $90\times 54$$=\mathrm{4,860}$

3. Multiply value 3 by its weight, so it counts as much as it should

   $75\times 24$$=\mathrm{1,800}$

4. Add up those results to get the weighted sum

   $\mathrm{2,150}+\mathrm{4,860}+\mathrm{1,800}$$=\mathrm{8,810}$

5. Add up the weights to get the total weight

   $25+54+24$$=103$

6. Divide the weighted sum by the total weight, which brings the answer back to the scale of your values

   $\frac{\mathrm{8,810}}{103}$$=85.533981$