TEAS Test Math Prep

Correct Answer: A

Rationale: The correct answer is A: Mean. The mean is calculated by summing all values and dividing by the number of values. Outliers can significantly skew the mean because they have a greater impact on the total sum. The median (B) is less affected by outliers since it is the middle value when data is sorted. The mode (C) is the most frequent value and is not affected by outliers. Choice D is incorrect as outliers can impact the mean in a small sample set.

Correct Answer: C

Rationale: To solve for b, we need to isolate b on one side. First, combine like terms: 5b - 2b = 17 + 4. This simplifies to 3b = 21. Then, divide both sides by 3 to find b = 7. Choice C is correct. Choices A, B, and D are incorrect as they do not match the correct calculation result.

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: B

Rationale: To find the ratio of faculty to students, add the number of teachers and teaching assistants (15+20 = 35). Then, divide the total faculty by the number of students (35:200). Simplify the ratio to its simplest form, which is 4:17. This is the correct answer because it represents the relationship between the faculty and students accurately. Incorrect choices: A: 3:20 - Incorrect because it doesn't accurately represent the ratio of faculty to students. C: 3:02 - Incorrect because the ratio must be in terms of whole numbers. D: 7:40 - Incorrect as it doesn't reflect the actual ratio between faculty and students.

Correct Answer: A

Rationale: The correct answer is A. When the sampling distribution of means is plotted, it follows the central limit theorem, which states that for a large enough sample size, the distribution of sample means will be approximately normally distributed regardless of the shape of the population distribution. This is because as sample size increases, the distribution becomes more normal due to the law of large numbers. Choice B is incorrect because the sampling distribution of means is not positively skewed. Choice C is incorrect because it is not negatively skewed. Choice D is incorrect as there is a predictable shape to the distribution, which is approximately normal due to the central limit theorem.