Multiple choice

In a Math test taken by $35$ students, the average score of $15$ girls is $10$ and that of $20$ boys is also $10$. Which of the following can be calculated based on the above data?

  1. The highest score in the class.

  2. The lowest score among the boys in the class.
  3. The sum of the scores of the $35$ students of the whole class.

  4. All of the above.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Average = Sum / Count. Sum = Average * Count. Sum of girls = 15 * 10 = 150. Sum of boys = 20 * 10 = 200. Total sum = 350. This can be calculated.

AI explanation

Using the formula for a weighted average, the total score of the 15 girls is 15 multiplied by 10, giving 150. The total score of the 20 boys is 20 multiplied by 10, giving 200. Adding these two sums gives a combined total of 350 for the whole class, meaning the sum of all scores can be calculated; individual highest or lowest scores cannot be determined. The sum of the scores of the 35 students of the whole class is the correct result.

Keep practicing — related questions