Question

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?

• A. The highest score in the class.
• B. The lowest score among the boys in the class.
• C. The sum of the scores of the $35$ students of the whole class.
• D. All of the above.

Answer 1

Answer: (C)

The sum of the scores of the $35$ students of the whole class.

Marks obtained by $15$ girls $=15\times \overline{x}=10\times 15=150$
Total marks obtained by $20$ students $=20\times \overline{y}=20\times 10=200$
Total marks obtained by $35$ students $=150+200=350$
The sum of the scores of the $35$ students is $350$