Number of Registered Voters in the United States in 2012, in Thousands Age,in years Region 18 to 24 25 to 44 45 to 64 65 to 74 75&older Total Northeast 2,713 8,159 10,986 3,342 2,775 27,975 Midwest 3,453 11,237 13,865 4,221 3,350 36,126 South 5,210 18,072 21,346 7,272 4,969 56,869 West 3,390 10,428 11,598 3,785 2,986 32,187 Total 14,766 47,896 57,795 18,620 14,080 153,157 The table above shows the number of registered voters in 2012, in thousands, in four geographic regions and five age groups. Based on the table, if a registered voter who was 18 to 44 years old in 2012 is chosen at random, which of the following is closest to the probability that the registered voter was from the Midwest region?

SAT Mathematics Practice Test 4

Question : 29 of 58

Marks: +1, -0

Number of Registered Voters in the United States in 2012, in Thousands

	Age,in years
Region	18 to 24 25 to 44 45 to 64 65 to 74 75&older	Total
Northeast	2,713 8,159 10,986 3,342 2,775	27,975
Midwest	3,453 11,237 13,865 4,221 3,350	36,126
South	5,210 18,072 21,346 7,272 4,969	56,869
West	3,390 10,428 11,598 3,785 2,986	32,187
Total	14,766 47,896 57,795 18,620 14,080	153,157

The table above shows the number of registered voters in 2012, in thousands, in four geographic regions and five age groups. Based on the table, if a registered voter who was 18 to 44 years old in 2012 is chosen at random, which of the following is closest to the probability that the registered voter was from the Midwest region?

0.10
0.25
0.40
0.75

Validate

Solution:

According to the table, in 2012 there was a total of

14,766+47,896=62,662

registered voters between 18 and 44 years old, and

3,453+11,237=14,690

of them were from the Midwest region. Therefore,the probability that a randomly chosen registered voter who was between 18 and 44 years old in 2012 was from Midwest region is

{14,690}/{62,662}≈0.234

.Of thegiven choices, 0.25 is closest to this value.
Choices A, C, and D are incorrect and may be the result of errors in selecting the correct proportion or in calculating the correct value.

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