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?

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.

Correct Answer: C

Rationale: To find the distance traveled by the train, we use the formula Distance = Speed x Time. Given that the train travels at 60 miles per hour for 2 hours, the calculation would be 60 miles/hour x 2 hours = 120 miles. Therefore, the correct answer is 120 miles. Choice A (60 miles) is incorrect because it only represents the speed of the train, not the total distance traveled. Choice B (100 miles) is incorrect as it does not account for the full 2 hours of travel. Choice D (200 miles) is incorrect as it overestimates the distance by multiplying the speed by the time incorrectly.

Correct Answer: C

Rationale: To convert kilometers to miles, you can use the conversion factor of approximately 0.62 miles per kilometer. Therefore, 45 kilometers 0.62 miles/kilometer = 27.9 miles, which is approximately 28 miles away. Choice A (42 miles), Choice B (37 miles), and Choice D (16 miles) are incorrect as they do not reflect the accurate conversion from kilometers to miles.

Correct Answer: C

Rationale: In this question, the correct answer is C) 89, which is the approximate average of Pernell's five exam scores. To calculate the average, you add up all the scores and then divide by the total number of scores. In this case, when you add 81 + 92 + 87 + 89 + 94, you get 443. Dividing 443 by 5 (the number of scores) gives you an average of 89. Option A) 81 is incorrect because it is one of the individual scores, not the average. Option B) 84 is also incorrect as it does not reflect the correct average of the scores provided. Option D) 91 is incorrect as well, as it is higher than the calculated average of 89. Understanding how to calculate averages is a fundamental math skill applicable in various real-life situations, such as managing budgets, analyzing data, and interpreting trends. It is essential for students to grasp this concept to make informed decisions based on numerical information. Practicing with scenarios like this helps reinforce the concept of averages and enhances mathematical proficiency.

Correct Answer: A

Rationale: To simplify the given expression, start by performing the division first: (2/3) · (4/15) = (2/3) (15/4) = 30/12 = 5/2. Next, multiply this result by 5/8: 5/2 5/8 = 25/16 = 1 9/16. Therefore, the correct answer is A. Choice B (1 1/4) is incorrect as it does not match the simplified result. Choice C (2 1/8) is incorrect as it does not represent the simplified expression. Choice D (2) is incorrect as it does not account for the fractions in the original expression.