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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.
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Three roommates decided to combine their money to buy a birthday gift for the fourth roommate. The first roommate contributed $12.03, the second roommate gave $11.96, and the third roommate donated $12.06. Estimate the total amount of money the roommates used to purchase the gift
- A. $34
- B. $35
- C. $36
- D. $37
Correct Answer: C
Rationale: To find the total amount contributed, you can add the individual contributions: $12.03 + $11.96 + $12.06 = $36. Therefore, the roommates used a total of $36 to purchase the gift. Choice A ($34), B ($35), and D ($37) are incorrect as they do not reflect the accurate total amount contributed by the roommates.
Simplify the following expression: (3)(-4) + (3)(4) - 1
- A. -1
- B. 1
- C. 23
- D. 24
Correct Answer: A
Rationale: To solve the expression, first calculate the multiplication: (3)(-4) = -12 and (3)(4) = 12. Then, substitute the results back into the expression: (-12) + 12 - 1 = -1. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not result from the correct calculations of the given expression.
There are 80 mg in 0.8 mL of Acetaminophen Concentrated Infant Drops. If the proper dosage for a four-year-old child is 240 mg, how many milliliters should the child receive?
- A. 0.8 mL
- B. 1.6 mL
- C. 2.4 mL
- D. 3.2 mL
Correct Answer: C
Rationale: To find out how many milliliters the child should receive, divide the total required dosage of 240 mg by the concentration of the medication, which is 80 mg per 0.8 mL. 240 mg · 80 mg/mL = 3 mL. Since each dose is 0.8 mL, the total dosage for the child would be 3 doses x 0.8 mL per dose = 2.4 mL. Therefore, the correct answer is 2.4 mL. Choice A (0.8 mL) is the concentration of the medication, not the total dose. Choices B (1.6 mL) and D (3.2 mL) are incorrect calculations that do not consider the concentration of the medication and the total required dosage correctly.
Solve for x: 2x + 6 = 14
- A. x = 4
- B. x = 8
- C. x = 10
- D. x = 13
Correct Answer: A
Rationale: To solve the equation 2x + 6 = 14, you first subtract 6 from both sides to isolate 2x. This gives 2x = 8. Then, divide by 2 on both sides to find x. Therefore, x = 4. Choices B, C, and D are incorrect as they do not correctly follow the steps of solving the equation.
Approximately what percentage more staff members at Hospital Y are female than at Hospital X?
- A. 5
- B. 10
- C. 15
- D. 20
Correct Answer: B
Rationale: To find the percentage more staff members at Hospital Y are female than at Hospital X, we first calculate the percentage of female staff members at each hospital. For Hospital Y: (90 / 183) x 100 ≈ 49.2%. For Hospital X: (97 / 250) x 100 ≈ 38.8%. The difference between these percentages is approximately 10%, making choice B the correct answer. Choice A, 5%, is too low as the difference is greater. Choice C, 15%, and choice D, 20%, are both too high as the actual difference is closer to 10%.