In a class of girls and boys, the average (arithmetic mean) height of the girls is 44.3 inches. What is theaverage height of all of the students in the class?Which two of the following statements together provide sufficient additional information to answer thequestion?(i) The number of girls in the class is 18.(ii) The sum of the heights of all of the students in the class is 1,379.4 inches.(iii) The average height of the boys in the class is 48.5 inches.(iv) The ratio of the number of girls to the number of boys in the class is 3 to 2.(v) The difference between the number of girls and the number of boys in the class is 6.The required additional statements are
Correct answer: B. (i) and (ii)
- A. (ii) and (iii)
- B. (i) and (ii)
- C. (iii) and (iv)
- D. (iv) and (v)
Explanation
To find the average height of all students, you need to know both the total height of all students and the total number of students. Statement (i) gives the number of girls, and statement (ii) provides the total height of all students. With these two pieces of information, you can calculate the number of boys (since you know the number of girls), and therefore the total number of students. Once you have the total number of students and the total height, you can determine the average height of the class.Other options are insufficient because they either lack total height information or the exact number of students needed for the calculation.
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