In a maths test taken by $40$ students,the average score of $30$ boys is $16$ and the average score of $10$ girls is $12$. Which of the following gives the average score of the whole class?

  • A
    $\frac{16+12}{2}$
  • B
    $\frac{(30 \times 16)+(10 \times 12)}{30+10}$
  • C
    $\frac{(30 \times 12)+(10 \times 16)}{12+16}$
  • D
    $\frac{(30 \times 10)+(16 \times 12)}{30+10}$

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In a maths 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 data we have?

The mean of the following data is $16.$ Find the missing frequency $f.$
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