(C) In the formula for calculating the mode of grouped data,$f_{1}$ represents the frequency of the modal class.The modal class is the class interval

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(C) In the formula for calculating the mode of grouped data,$f_{1}$ represents the frequency of the modal class.The modal class is the class interval with the highest frequency.Looking at the given frequency distribution:- The frequencies are $12, 18, 27, 20, 17, 6$.- The maximum frequency is $27$,which corresponds to the class interval $200-300$.Therefore,the frequency of the modal class is $f_{1} = 27$.

Class 10 Mathematics Statistics Mix Examples - Statistics

Easy

For the calculation of mode of the following frequency distribution,$f_{1} = \dots \dots \dots \dots \dots \dots$

Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$

Frequency $12$ $18$ $27$ $20$ $17$ $6$

A
$18$
B
$20$
C
$27$
D
$17$

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Mix Examples - Statistics

Find the mean of the distribution:

Class $1-3$ $3-5$ $5-7$ $7-10$

Frequency $9$ $22$ $27$ $17$

Medium

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The mean of $10$ observations is $15.7$. If a new observation $19$ is included,the new mean is ..........

Easy

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For a given frequency distribution,$\Sigma f_{i} u_{i} = -13$,$n = \Sigma f_{i} = 100$,$A = 62.5$ and $c = 15$. Then,mean $\bar{x} = \dots$

Easy

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The mean of the following frequency distribution is $65$ and the total frequency is $100$. Find the missing frequencies $f_{1}$ and $f_{2}$.

Class $15-35$ $35-55$ $55-75$ $75-95$ $95-115$

Frequency $17$ $f_1$ $32$ $f_2$ $19$

Medium

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The following table gives the number of pages written by Sarika for completing her own book over $30$ days:

Number of pages written per day $16-18$ $19-21$ $22-24$ $25-27$ $28-30$

Number of days $1$ $3$ $4$ $9$ $13$

Find the mean number of pages written per day.

Medium

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Class	$0-100$	$100-200$	$200-300$	$300-400$	$400-500$	$500-600$
Frequency	$12$	$18$	$27$	$20$	$17$	$6$

Class	$15-35$	$35-55$	$55-75$	$75-95$	$95-115$
Frequency	$17$	$f_1$	$32$	$f_2$	$19$

Number of pages written per day	$16-18$	$19-21$	$22-24$	$25-27$	$28-30$
Number of days	$1$	$3$	$4$	$9$	$13$

For the calculation of mode of the following frequency distribution,$f_{1} = \dots \dots \dots \dots \dots \dots$ Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$ Frequency $12$ $18$ $27$ $20$ $17$ $6$

Similar Questions

Find the mean of the distribution: Class $1-3$ $3-5$ $5-7$ $7-10$ Frequency $9$ $22$ $27$ $17$

The mean of $10$ observations is $15.7$. If a new observation $19$ is included,the new mean is ..........

For a given frequency distribution,$\Sigma f_{i} u_{i} = -13$,$n = \Sigma f_{i} = 100$,$A = 62.5$ and $c = 15$. Then,mean $\bar{x} = \dots$

The mean of the following frequency distribution is $65$ and the total frequency is $100$. Find the missing frequencies $f_{1}$ and $f_{2}$. Class $15-35$ $35-55$ $55-75$ $75-95$ $95-115$ Frequency $17$ $f_1$ $32$ $f_2$ $19$

The following table gives the number of pages written by Sarika for completing her own book over $30$ days: Number of pages written per day $16-18$ $19-21$ $22-24$ $25-27$ $28-30$ Number of days $1$ $3$ $4$ $9$ $13$ Find the mean number of pages written per day.

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For the calculation of mode of the following frequency distribution,$f_{1} = \dots \dots \dots \dots \dots \dots$

Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$

Frequency $12$ $18$ $27$ $20$ $17$ $6$

Find the mean of the distribution:

Class $1-3$ $3-5$ $5-7$ $7-10$

Frequency $9$ $22$ $27$ $17$

The mean of the following frequency distribution is $65$ and the total frequency is $100$. Find the missing frequencies $f_{1}$ and $f_{2}$.

Class $15-35$ $35-55$ $55-75$ $75-95$ $95-115$

Frequency $17$ $f_1$ $32$ $f_2$ $19$

The following table gives the number of pages written by Sarika for completing her own book over $30$ days:

Number of pages written per day $16-18$ $19-21$ $22-24$ $25-27$ $28-30$

Number of days $1$ $3$ $4$ $9$ $13$

Find the mean number of pages written per day.