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. Simplify the following expression: 13 - 3/22 - 11

Correct answer: B

Rationale: To simplify the expression, first find a common denominator for the fractions. 3/22 can be rewritten as 6/22. Now, the expression becomes 13/22 - 6/22 - 11. Subtracting 6/22 from 13/22 gives 7/22. Therefore, the correct answer is 7/22. Choice A, 19/22, is incorrect as the subtraction was not done properly. Choices C and D are incorrect as they are not part of the expression being simplified.

3. Define the term 'velocity' in relation to motion.

Correct answer: A

Rationale: Velocity is a vector quantity that describes the speed of an object along with its direction of motion. Unlike speed, which is a scalar quantity focusing solely on the magnitude of motion, velocity considers both speed and direction. Therefore, the best definition of velocity is 'speed in a specific direction.' Choice B, 'Distance traveled in a given time,' is incorrect as it defines speed rather than velocity. Choice C, 'Rate of change of position,' is more aligned with the definition of velocity but lacks the specificity of direction. Choice D, 'Acceleration due to gravity,' is unrelated to the definition of velocity and refers to a different concept in physics.

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. What is the process of breaking down proteins into amino acids called?

Correct answer: A

Rationale: Proteolysis is the specific process of breaking down proteins into amino acids. Lipolysis refers to the breakdown of fats into fatty acids and glycerol, not proteins. Carbohydrate catabolism involves the breakdown of carbohydrates into glucose for energy production, not proteins. Nucleic acid catabolism is the breakdown of nucleic acids into nucleotides, not proteins. Therefore, in the context of breaking down proteins into amino acids, the correct term is proteolysis.

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