what is the median of the set of numbers 2 3 9 12 15
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ATI TEAS 7

TEAS Math Practice Test

1. What is the median of the set of numbers {2, 3, 9, 12, 15}?

Correct answer: B

Rationale: The median represents the middle value in an ordered set of numbers. To find the median, the numbers need to be arranged in ascending order: {2, 3, 9, 12, 15}. Since the set has an odd number of elements, the median will be the middle value, which is 9 in this case. Choice A (3) and Choice D (15) are incorrect as they do not fall in the middle of the ordered set. Choice C (12) is also incorrect as it is not the middle value in this particular set.

2. Simplify the expression. Which of the following is correct? (3/2)(8/3) ÷ (5/4)

Correct answer: B

Rationale: Using PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction): (3/2)(8/3) ÷ (5/4) = (24/6) ÷ (5/4) = (4/1) ÷ (5/4). To divide fractions, the second fraction is flipped and then multiplied by the first fraction, resulting in (4/1)(4/5) = (16/5), which simplifies to 3(1/5) or 2.

3. Three friends are sharing a burger. One friend eats a quarter of the burger. The other two friends equally divide the rest among themselves. What portion of the burger did each of the other two friends receive?

Correct answer: D

Rationale: After one friend eats a quarter of the burger, 3/4 of the burger remains. Dividing this equally between the other two friends means each receives 3/8 of the whole burger. Therefore, the correct answer is 8-Mar. Choice A (6-Jan), Choice B (4-Jan), and Choice C (4-Mar) are incorrect as they do not accurately represent the portion each of the other two friends receives after one friend consumes a quarter of the burger.

4. Jacob has $100. She spends 87% of the money. She then invests the remaining amount and earns a profit of 75%. How much money does she now have?

Correct answer: C

Rationale: Jacob spends 87% of $100, which is $87, leaving her with $13. When she invests the remaining $13 and earns a 75% profit, she gains an additional $9.75. Thus, the total amount she now has is $13 (remaining amount) + $9.75 (profit) = $22.75. Choice A is incorrect as it reflects the remaining amount before investing and earning a profit. Choice B is incorrect as it does not account for the profit earned from the investment. Choice D is incorrect as it only considers the profit amount, not the total sum.

5. Futuristic Furniture gave the man two choices: pay the entire amount in one payment with cash, or pay $1000 as a down payment and $120 per month for two full years in the financing plan. If the man chooses the financing plan, how much more would he pay?

Correct answer: B

Rationale: If the man chooses the financing plan, he pays $1000 as a down payment initially. Over the two-year period, he will be paying $120 per month for a total of 24 months, which amounts to $120 x 24 = $2880. Therefore, the total amount he pays for the furniture through the financing plan is $1000 (down payment) + $2880 (monthly payments) = $3880. Comparing this total with the entire amount paid in one payment with cash would be $3880 - $3000 = $880 more. So, the man would pay $880 more if he chooses the financing plan. Therefore, the correct answer is $1280 more, not $1480, $1600, or $2480. These amounts do not accurately represent the additional cost incurred by choosing the financing plan.

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