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 (out of $90$)	Number of candidates
More than or equal to $80$	$4$
More than or equal to $70$	$6$
More than or equal to $60$	$11$
More than or equal to $50$	$17$
More than or equal to $40$	$23$
More than or equal to $30$	$27$
More than or equal to $20$	$30$
More than or equal to $10$	$32$
More than or equal to $0$	$34$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$5$	$x$	$20$	$15$	$y$	$5$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$6$	$8$	$17$	$x$	$42$	$30$	$y$	$8$

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

The median of the following frequency distribution is $28.5$ and the total frequency is $60$. Find the missing frequencies $x$ and $y$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Frequency $5$ $x$ $20$ $15$ $y$ $5$

The mode of the following frequency distribution is $46$ and the total frequency is $150$. Find the missing frequencies $x$ and $y$.

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $6$ $8$ $17$ $x$ $42$ $30$ $y$ $8$

If $Z = 36.8$ and $M = 33.6$,then $\bar{x} = \ldots \ldots \ldots \ldots .$

In the formula $\bar{x} = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}}$ for finding the mean of grouped data,$d_{i}$ are deviations from $a$ of:

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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?