Multiple choice

Passage

Directions: Each question below is followed by two statements, I and II. You are to determine whether the data in the statements is sufficient to answer the question.

Question: What is the average height of a group of 10 students? Statements: I. The sum of the heights of all 10 students is 1650 cm. II. The shortest student in the group is 150 cm tall, and the tallest student is 180 cm tall.

  1. Statement I alone is sufficient to answer the question.

  2. Statement II alone is sufficient to answer the question.

  3. Both statements I and II together are sufficient to answer the question, but neither statement alone is sufficient.

  4. Each statement alone is sufficient to answer the question.

  5. Statements I and II together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The average is defined as the sum of values divided by the count. Statement I provides the sum (1650) and the count (10), which is sufficient to calculate the average (165). Statement II provides the range, which does not allow for the calculation of the average.

AI explanation

The basic formula for average is the total sum of all values divided by the number of values. Statement I provides both the sum of the heights, which is 1650 cm, and the total number of students, which is 10, so you can divide 1650 by 10 to get the exact average. Statement II only gives the extreme heights and lacks the sum of all the heights, making it insufficient to find the average. Statement I alone provides all the necessary mathematical components to solve the problem.

Keep practicing — related questions