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	$10$	$12$	$13$	$16$	$9$

Class	$0-100$	$100-200$	$200-300$	$300-400$	$400-500$	$500-600$	$600-700$	$700-800$	$800-900$	$900-1000$
Frequency	$2$	$5$	$x$	$12$	$17$	$20$	$y$	$9$	$7$	$4$

Class	$50-70$	$70-90$	$90-110$	$110-130$	$130-150$	$150-170$
Frequency	$10$	$18$	$7$	$6$	$5$	$4$

Marks obtained	Number 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 $50$	$42$

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

For a given frequency distribution,$n=100, A=15$ and $\bar{x}=15$. Then,$\Sigma f_{i} d_{i} = \ldots$

The median of the following frequency distribution is $525$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$ $600-700$ $700-800$ $800-900$ $900-1000$

Frequency $2$ $5$ $x$ $12$ $17$ $20$ $y$ $9$ $7$ $4$

The formula to find the median of a grouped data is $\ldots \ldots \ldots \ldots .$

Find the mean of the following data by all the three methods:

Class $50-70$ $70-90$ $90-110$ $110-130$ $130-150$ $150-170$

Frequency $10$ $18$ $7$ $6$ $5$ $4$

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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?