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What is the average number of voters who have not voted from town A, C and E together?
3030
3930
3830
3630
None of the above
3830
Calculate non-voters for each: 30000├Ч0.15=4500, 28000├Ч0.18=5040, and 32500├Ч0.06=1950. Summing these 4500+5040+1950=11490 and dividing by 3 gives the average.
Total voters for Town A = 30000, Town C = 28000, Town E = 32500. Percentages of non-voters for A = 15%, C = 18%, E = 6%.
Average=Number┬аof┬аItemsтИСValuesтАЛ
Calculate non-voters for each: 30000├Ч0.15=4500, 28000├Ч0.18=5040, and 32500├Ч0.06=1950. Summing these 4500+5040+1950=11490 and dividing by 3 gives the average.
Students often calculate the percentage of people who DID vote instead of those who did NOT vote, or miscalculate the percentage values for towns C and E.
Calculate non-voters for Town A
Given 15% of 30000 did not vote:
30000├Ч10015тАЛ=4500
Calculate non-voters for Town C
Given 18% of 28000 did not vote:
28000├Ч10018тАЛ=5040
Calculate non-voters for Town E
Given 6% of 32500 did not vote:
32500├Ч1006тАЛ=1950
Find the average
Sum the non-voters and divide by 3:
34500+5040+1950тАЛ=311490тАЛ=3830
C is correct because the sum of non-voters for towns A, C, and E is 11490, and their average is 3830.
Always verify the column headers carefully; common mistakes in data interpretation arise from picking values from the wrong column (e.g., 'percentage who voted' vs 'percentage who did not').
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