what is the mode of the set of numbers 4 4 5 7 8
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ATI TEAS 7

TEAS Math Practice Test

1. What is the mode of the set of numbers {4, 4, 5, 7, 8}?

Correct answer: A

Rationale: The mode of a set of numbers is the value that appears most frequently. In the given set {4, 4, 5, 7, 8}, the number 4 appears twice, which is more frequent than any other number. Therefore, the mode of this set is 4. Choice B, 5, is incorrect as it only appears once in the set. Choices C and D, 7 and 8 respectively, also appear only once each, making them less frequent than the number 4.

2. 4 − 1/(22) + 24 ÷ (8 + 12). Simplify the expression. Which of the following is correct?

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.

3. A study was conducted where patients were divided into three groups: 1/2 in Group Alpha, 1/3 in Group Beta, and 1/6 in Group Gamma. Which group is the smallest?

Correct answer: C

Rationale: The smallest group is Group Gamma, which had 1/6 of the total number of patients. To determine the smallest group, compare the fractions representing the portions of patients in each group. 1/6 is smaller than 1/3 and 1/2, making Group Gamma the smallest. Group Alpha and Group Beta have larger fractions of patients, making them larger groups compared to Group Gamma.

4. Simplify the following expression: 0.0178 × 2.401

Correct answer: B

Rationale: To simplify the expression 0.0178 × 2.401, you multiply the two numbers to get the result. Therefore, 0.0178 × 2.401 = 0.0427378. Choice A (2.0358414), Choice C (0.2341695), and Choice D (0.348324) are incorrect as they do not represent the correct result of the multiplication operation.

5. Solve the following: 4 x 7 + (25 – 21)²

Correct answer: B

Rationale: First, solve the expression inside the parentheses: 25 − 21 = 4 25−21=4 Then, square the result from the parentheses: 4 2 = 16 4 2 =16 Perform the multiplication: 4 × 7 = 28 4×7=28 Finally, add the results: 28 + 16 = 44 28+16=44

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