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?

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

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In a retail market,fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying numbers of mangoes. The following was the distribution of mangoes according to the number of boxes.
Number of mangoes$50$-$52$$53$-$55$$56$-$58$$59$-$61$$62$-$64$
Number of boxes$15$$110$$135$$115$$25$

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

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The weights (in $kg$) of $50$ wrestlers are recorded in the following table:
Weight (in $kg$) $100-110$ $110-120$ $120-130$ $130-140$ $140-150$
Number of wrestlers $4$ $14$ $21$ $8$ $3$

Find the mean weight of the wrestlers (in $kg$).

The mean of the following frequency distribution is $60$ and the total frequency is $120$. Find the missing frequencies $f_{1}$ and $f_{2}$.
Class $10-30$ $30-50$ $50-70$ $70-90$ $90-110$
Frequency $17$ $f_{1}$ $32$ $f_{2}$ $19$

The mean of $5$ observations is $16$. If an observation $5$ is replaced by $-5$,the new mean is ...........

Consider the following distribution:
Marks obtainedNumber of students
More than or equal to $0$$63$
More than or equal to $10$$58$
More than or equal to $20$$55$
More than or equal to $30$$51$
More than or equal to $40$$48$
More than or equal to $50$$42$

The frequency of the class $30-40$ is:

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