Class0-1010-2020-3030-4040-50Frequency1012131 | vedclass

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(D) First,calculate the total frequency $\Sigma f_{i} = 10 + 12 + 13 + 16 + 9 = 60$.Thus,option $D$ is false because $\Sigma f_{i} = 60$,not $50$.Now,

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$\Sigma f_{i} = 50$

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(D) First,calculate the total frequency $\Sigma f_{i} = 10 + 12 + 13 + 16 + 9 = 60$.Thus,option $D$ is false because $\Sigma f_{i} = 60$,not $50$.Now,let's verify other options:$1$. Cumulative frequencies: $10, 22, 35, 51, 60$.$2$. Median class: $N/2 = 60/2 = 30$. The cumulative frequency just greater than $30$ is $35$,which corresponds to the class $20-30$. So,option $A$ is true.$3$. Modal class: The highest frequency is $16$,which corresponds to the class $30-40$. So,option $B$ is true.$4$. Cumulative frequency of class $20-30$ is $10 + 12 + 13 = 35$. So,option $C$ is true.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$10$	$12$	$13$	$16$	$9$

Marks	Number of students
Below $10$	$10$
Below $20$	$50$
Below $30$	$130$
Below $40$	$270$
Below $50$	$440$
Below $60$	$570$
Below $70$	$670$
Below $80$	$740$
Below $90$	$780$
Below $100$	$800$

Class	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$	$30-35$
Frequency	$11$	$20$	$35$	$20$	$8$	$6$

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $10$ $12$ $13$ $16$ $9$

For the frequency distribution given above,which of the following is false?

Similar Questions

If $M = 72$ and $\bar{x} = 70$,then $Z = \ldots \ldots \ldots \ldots$

Find the mean,median and mode of the following frequency distribution:

Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$

Frequency $11$ $20$ $35$ $20$ $8$ $6$

For some given data,if $Z + M = 108$ and $Z - M = -6$,then the mean $\bar{x} = \ldots \ldots \ldots$

Will the median class and modal class of grouped data always be different? Justify your answer.

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Class$0-10$$10-20$$20-30$$30-40$$40-50$Frequency$10$$12$$13$$16$$9$For the frequency distribution given above,which of the following is false?