(A) In the formula for calculating the mode of grouped data,$Z = l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} \right) \times c$,the term $l

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(A) In the formula for calculating the mode of grouped data,$Z = l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} \right) \times c$,the term $l$ represents the lower limit of the modal class. The modal class is the class interval with the highest frequency.

Class 10 Mathematics Statistics Mix Examples - Statistics

Easy

In the formula $Z = l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} \right) \times c$ for the mode,$l = \ldots \ldots \ldots$

A
lower limit of the modal class
B
frequency of the modal class
C
frequency of the class preceding the modal class
D
frequency of the class succeeding the modal class

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Mix Examples - Statistics

The median class of the following frequency distribution is ...........
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Frequency $4$ $5$ $9$ $10$ $14$ $8$

Total frequency $n = 50$.

Easy

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For a given frequency distribution,the total frequency is $25$ and $\Sigma f_{i} x_{i} = 120$. Then,the mean is $\ldots$

Medium

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The mode of the following data is $33 \frac{1}{3}$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

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

Frequency $7$ $12$ $x$ $28$ $y$ $9$

Medium

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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 $5$ $x$ $20$ $15$ $y$ $5$

Medium

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Given below is a cumulative frequency distribution showing the marks secured by $50$ students of a class:

Marks Below $20$ Below $40$ Below $60$ Below $80$ Below $100$

Number of students $17$ $22$ $29$ $37$ $50$

Form the frequency distribution table for the data.

Medium

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Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$4$	$5$	$9$	$10$	$14$	$8$

Marks	Below $20$	Below $40$	Below $60$	Below $80$	Below $100$
Number of students	$17$	$22$	$29$	$37$	$50$

In the formula $Z = l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} \right) \times c$ for the mode,$l = \ldots \ldots \ldots$

Similar Questions

The median class of the following frequency distribution is ...........Class$0-10$$10-20$$20-30$$30-40$$40-50$$50-60$Frequency$4$$5$$9$$10$$14$$8$Total frequency $n = 50$.

For a given frequency distribution,the total frequency is $25$ and $\Sigma f_{i} x_{i} = 120$. Then,the mean is $\ldots$

The mode of the following data is $33 \frac{1}{3}$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$. Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Frequency $7$ $12$ $x$ $28$ $y$ $9$

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$

Given below is a cumulative frequency distribution showing the marks secured by $50$ students of a class: Marks Below $20$ Below $40$ Below $60$ Below $80$ Below $100$ Number of students $17$ $22$ $29$ $37$ $50$ Form the frequency distribution table for the data.

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The median class of the following frequency distribution is ...........
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Frequency $4$ $5$ $9$ $10$ $14$ $8$

Total frequency $n = 50$.

The mode of the following data is $33 \frac{1}{3}$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

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

Frequency $7$ $12$ $x$ $28$ $y$ $9$

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 $5$ $x$ $20$ $15$ $y$ $5$

Given below is a cumulative frequency distribution showing the marks secured by $50$ students of a class:

Marks Below $20$ Below $40$ Below $60$ Below $80$ Below $100$

Number of students $17$ $22$ $29$ $37$ $50$

Form the frequency distribution table for the data.