TEAS Test Practice Math

Correct Answer: A

Rationale: The mean is the sum of all values divided by the number of values, while the median is the middle value when data is ordered. In a skewed distribution, the mean is pulled towards the tail, making it less than the median. Therefore, statement A is true. Explanation: A: The mean is less than the median - True, as explained above. B: The mode is greater than the median - Not necessarily true. Mode can be less than or equal to the median. C: The mode is less than the mean, median, and range - Not always true. Mode can be greater than the mean or median. D: The mode is equal to the range - Incorrect, mode and range are unrelated statistical measures.

Correct Answer: B

Rationale: The correct answer is B: $86,666.67. To calculate this, divide the total operating expenses ($130,000) by 3, as a general guideline is that one-third of operating expenses typically go towards employee wages and benefits. $130,000 / 3 = $43,333.33. However, this only represents the wages portion, and benefits are typically an additional 50% of wages, making the total amount spent on wages and benefits $43,333.33 + ($43,333.33 * 0.5) = $86,666.67. Choice A: $43,333.33 - This only represents the wages portion and does not include benefits. Choice C: $52,000.00 - This amount does not account for benefits and is not calculated correctly. Choice D: $78,000.00 - This amount is only the wages portion and does not include benefits.

Correct Answer: A

Rationale: To find average speed, we use the formula: Total Distance / Total Time. For the morning trip: 45 miles / 1.17 hours = 38.46 mph. For the evening trip: 45 miles / 1.5 hours = 30 mph. Total distance = 45 miles + 45 miles = 90 miles. Total time = 1.17 hours + 1.5 hours = 2.67 hours. Average speed = 90 miles / 2.67 hours = 33.71 mph, which rounds to 30 mph (Choice A). Other choices are incorrect because they do not match the calculated average speed for the round trip.

Correct Answer: D

Rationale: To calculate the percentage difference, we need to find the percentage increase from City X to City Y. Let's assume City X has 100 staff members, with 40 females, making 40% female. In City Y, there are 120 staff members, with 60 females, making 50% female. The percentage difference is (50% - 40%) / 40% = 0.25 or 25%. Therefore, there are 25% more female staff in City Y compared to City X, which is equivalent to 20% of the female staff in City X. So, the correct answer is D (20%). Choice A (5%), B (10%), and C (15%) are incorrect as they do not accurately reflect the 20% increase in female staff members between the two cities.

Correct Answer: C

Rationale: To find the percentage of Dr. Lee's patients hospitalized after taking the antibiotic, we multiply the percentage of patients who developed an infection (30%) by the percentage of those hospitalized (5% of 30%): 30% * 5% = 1.5%. Therefore, 1.5% of all patients were hospitalized. The correct answer is C (15%). Summary: A (1.50%): This is incorrect because it miscalculates the percentage of patients hospitalized. B (5%): This is incorrect as it represents the percentage of patients that developed an infection and not those hospitalized. D (30%): This is incorrect as it represents the total percentage of patients developing an infection, not those hospitalized.