given the histograms shown below which of the following statements is true

ATI TEAS 7

TEAS 7 Math Practice Test

1. Given the histograms shown below, which of the following statements is true?

A. Group A is negatively skewed and has a mean less than Group B.
B. Group A is positively skewed and has a mean greater than Group B.
C. Group B is negatively skewed and has a mean greater than Group A.
D. Group B is positively skewed and has a mean less than Group A.

Correct answer: C

Rationale: The correct answer is C. Group B is negatively skewed, indicating more high scores, leading to a higher mean for Group B when compared to Group A. Choice A is incorrect because Group A is not negatively skewed and doesn't have a mean less than Group B. Choice B is incorrect as Group A is not positively skewed and its mean is not greater than Group B. Choice D is also incorrect because Group B having a mean less than Group A contradicts the fact that Group B has a higher mean due to being negatively skewed.

2. In Mrs. McConnell's classroom, there are 5 students with hazel eyes and 2 students with green eyes out of a total of 30 students. What percentage of the students have either hazel or green eyes?

A. 0.23
B. 0.3
C. 0.47
D. 0.77

Correct answer: A

Rationale: To calculate the percentage of students with either hazel or green eyes, add the number of students with hazel and green eyes (5 + 2 = 7) and divide by the total number of students (30): 7 ÷ 30 ≈ 0.23 or 23%. The correct answer is A, 0.23, which represents 23% of the total students. Choice B, 0.3, is incorrect as it corresponds to 30%, which is higher than the total number of students. Choice C, 0.47, is incorrect as it represents 47%, which is also higher than the total number of students. Choice D, 0.77, is incorrect as it corresponds to 77%, which is much higher than the total number of students.

3. What is the value of the sum of 0.75 and 0.625?

A. 0.875
B. 1.375
C. 1.625
D. 0.125

Correct answer: B

Rationale: Adding 0.75 and 0.625 gives: 0.75+0.625=1.375.

4. 4 − 1/(22) + 24 ÷ (8 + 12). Simplify the expression. Which of the following is correct?

A. 1.39
B. 2.74
C. 4.95
D. 15.28

Correct answer: C

Rationale: First, complete the operations in parentheses: 4 − (1/22) + 24 ÷ 20. Next, simplify the exponents: 4 − (1/22) + 24 ÷ 20 = 4 − (1/4) + 24 ÷ 20. Then, complete multiplication and division operations: 4 − (1/4) + 24 ÷ 20 = 4 − 0.25 + 1.2. Finally, complete addition and subtraction operations: 4 − 0.25 + 1.2 = 4.95. Choice A, 1.39, is incorrect as it does not match the correct calculation. Choice B, 2.74, is incorrect as it is not the result of the given expression. Choice D, 15.28, is incorrect as it is not the correct simplification of the initial expression.

5. A study divides patients into 3 groups with fractions: 1/2, 1/3, and 1/6. Which group has the largest number of patients?

A. Alpha
B. Beta
C. Gamma
D. Delta

Correct answer: A

Rationale: Group Alpha has the largest number of patients because it represents 1/2 of the total population, which is the highest fraction among the groups. Group Beta represents 1/3 of the population, and Group Gamma represents 1/6 of the population, making them smaller fractions in comparison. Group Delta is not mentioned in the question and is therefore unrelated to the comparison of the groups.