what is the median of the data set 3 5 7 9 11
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ATI TEAS 7

TEAS Test Math Questions

1. What is the median of the data set: 3, 5, 7, 9, 11?

Correct answer: B

Rationale: To find the median of a set of numbers, you arrange them in ascending order and then find the middle value. Given the data set 3, 5, 7, 9, 11, when arranged in ascending order, becomes 3, 5, 7, 9, 11. The middle value in this set is 7, making it the median. Choice A (3) is the smallest value, not the middle value. Choice C (9) and Choice D (5) are not the middle values of the set either. Therefore, the correct answer is B (7).

2. Which of the following is the correct decimal placement for the product of 1.6 * 0.93?

Correct answer: C

Rationale: To find the product of 1.6 * 0.93, you multiply these two numbers to get 1.488. Therefore, the correct decimal placement for the product is 1.488. Choice A, 14.88, is incorrect as it incorrectly places the decimal two spots to the right. Choice B, 0.1488, is incorrect as it incorrectly places the decimal one spot to the right. Choice D, 0.001488, is incorrect as it incorrectly places the decimal three spots to the right.

3. Veronica is making a holiday schedule. 35% of staff members will be on vacation, and 20% of the remainder are certified to work. What percentage of the staff is certified and available?

Correct answer: A

Rationale: To find the percentage of staff certified and available, we first calculate the percentage of staff members not on vacation, which is 100% - 35% = 65%. Then, 20% of this group is certified to work, which is 20% of 65% = 0.20 * 65% = 13%. Therefore, Veronica has 13% of the staff certified and available to work. The correct answer is 0.13 (or 13%). Choice C (0.65) is incorrect because it represents the percentage of staff members not on vacation, not the percentage that is certified and available. Choice D (0.8) is incorrect as it is not the correct percentage of staff members certified and available. Choice B (0.13) is the correct answer, not choice A (0.07), as 0.07 represents 7%, not 13%.

4. If the population of a city increases by 5% annually, what will the population be next year if the current population is 1,000?

Correct answer: A

Rationale: To calculate the population increase, multiply the current population by 1 plus the percentage increase. So, 1,000 * 1.05 = 1,050 people. Therefore, the correct answer is A. Choice B (1,200 people) is incorrect because it represents a 20% increase from the current population, not 5%. Choice C (1,100 people) is incorrect as it reflects a 10% increase, not a 5% increase. Choice D (1,300 people) is incorrect, showing a 30% increase, which is not the scenario given.

5. A couple dining at a restaurant receives a bill for $58.60. They wish to leave a 16% gratuity. Which of the following is the estimated gratuity?

Correct answer: C

Rationale: To calculate a 16% gratuity on a bill of $58.60, you multiply $58.60 by 0.16, which equals $9.376. Rounding this to the nearest cent gives $9.38. Therefore, the estimated gratuity is $9.38. Choice A is incorrect as it does not accurately reflect the calculated amount. Choice B is also incorrect as it does not match the correct calculation. Choice D is incorrect as it is not the nearest estimated value to the calculated amount.

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