ATI TEAS 7
ATI TEAS Math Practice Test
1. Over several years, a real estate agent sold houses, with one year having an outlier where she sold 11 houses. Which of the following measures will most accurately reflect the number of houses she sold per year?
- A. mean
- B. median
- C. mode
- D. range
Correct answer: B
Rationale: The outlier of 11 would skew the data if the mean or range were used. The median, however, is not affected by outliers and is the most appropriate measure for reflecting the number of houses she sold per year. In this scenario, the data set does not have a mode as each value occurs only once, making mode not the most appropriate choice.
2. In a study of the average weight of babies at different time intervals after birth, the babies’ measured weight is which of the following variables?
- A. Independent
- B. Control
- C. Dependent
- D. Constant
Correct answer: C
Rationale: The baby's measured weight is the dependent variable as it depends on the time intervals.
3. Which of the following describes a proportional relationship?
- A. Johnathan opens a savings account with an initial deposit of $150 and deposits $125 per month
- B. Bruce pays his employees $12 per hour worked during the month of December, as well as a $250 bonus
- C. Alvin pays $28 per month for his phone service plus $0.07 for each long-distance minute used
- D. Kevin drives 65 miles per hour
Correct answer: A
Rationale: A proportional relationship is one in which two quantities vary directly with each other. In choice A, the amount deposited per month is directly proportional to the initial deposit. The relationship can be represented as y = 125x + 150, where x is the number of months and y is the total amount in the account. Choices B and C involve additional fixed amounts or variable costs that do not maintain a constant ratio, making them non-proportional relationships. Choice D refers to a constant speed of driving, which is not a proportional relationship as it does not involve varying quantities that change in direct proportion.
4. Simplify the expression below. Which of the following is correct? 3.45 * 0.53
- A. 1.8285
- B. 18.285
- C. 0.18285
- D. 182.85
Correct answer: A
Rationale: To solve 3.45 * 0.53, multiply the numbers to get 1.8285. Therefore, the correct answer is A. Choice B is incorrect because it incorrectly moves the decimal point. Choice C is incorrect as it is a fraction of the correct answer. Choice D is incorrect as it results from an error in moving the decimal point.
5. What kind of relationship between a predictor and a dependent variable is indicated by a line that travels from the bottom-left of a graph to the upper-right of the graph?
- A. Positive
- B. Negative
- C. Exponential
- D. Logarithmic
Correct answer: A
Rationale: A line that travels from the bottom-left of a graph to the upper-right of the graph signifies a positive relationship between the predictor and dependent variable. This indicates that as the predictor variable increases, the dependent variable also increases. Choice B, 'Negative,' is incorrect as a negative relationship would be depicted by a line that travels from the top-left to the bottom-right of the graph. Choices C and D, 'Exponential' and 'Logarithmic,' respectively, represent specific types of relationships characterized by non-linear patterns, unlike the linear positive relationship shown in the described scenario.
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