The median class in the following frequency d | vedclass

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(D) First,calculate the cumulative frequency $(cf)$ for each class:$1$. Class $10-25$: $cf = 5$$2$. Class $25-40$: $cf = 5 + 21 = 26$$3$. Class $40-55

Vedclass · Accepted Answer

$55-70$

Vedclass · Answer

(D) First,calculate the cumulative frequency $(cf)$ for each class:$1$. Class $10-25$: $cf = 5$$2$. Class $25-40$: $cf = 5 + 21 = 26$$3$. Class $40-55$: $cf = 26 + 21 = 47$$4$. Class $55-70$: $cf = 47 + 8 = 55$$5$. Class $70-85$: $cf = 55 + 25 = 80$$6$. Class $85-100$: $cf = 80 + 20 = 100$The total frequency $n = 100$.Calculate $\frac{n}{2} = \frac{100}{2} = 50$.The median class is the class whose cumulative frequency is just greater than or equal to $\frac{n}{2} = 50$.Looking at the cumulative frequencies: $5, 26, 47, 55, 80, 100$. The first cumulative frequency greater than $50$ is $55$,which corresponds to the class $55-70$.Therefore,the median class is $55-70$.

Area of land (in hectares)	$1-3$	$3-5$	$5-7$	$7-9$	$9-11$	$11-13$
Number of families	$20$	$45$	$80$	$55$	$40$	$12$

Class (seconds)	$13.8-14.0$	$14.0-14.2$	$14.2-14.4$	$14.4-14.6$	$14.6-14.8$	$14.8-15.0$
Frequency	$2$	$4$	$5$	$71$	$48$	$20$

Class	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$	$100-120$
Frequency	$8$	$9$	$26$	$23$	$20$	$14$

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

The median class in the following frequency distribution is $\ldots \ldots \ldots \ldots .$

Class $10-25$ $25-40$ $40-55$ $55-70$ $70-85$ $85-100$

Frequency $5$ $21$ $21$ $8$ $25$ $20$

Similar Questions

For a given frequency distribution,$A = 200$,$\Sigma f_{i} = 45$,$\Sigma f_{i} u_{i} = -216$ and $c = 10$. Then,mean $\bar{x} = \dots$

The frequency distribution table of agricultural holdings in a village is given below:

Area of land (in hectares) $1-3$ $3-5$ $5-7$ $7-9$ $9-11$ $11-13$

Number of families $20$ $45$ $80$ $55$ $40$ $12$

Find the modal agricultural holdings of the village (in hectares).

The times,in seconds,taken by $150$ athletes to run a $110\, m$ hurdle race are tabulated below:

Class (seconds) $13.8-14.0$ $14.0-14.2$ $14.2-14.4$ $14.4-14.6$ $14.6-14.8$ $14.8-15.0$

Frequency $2$ $4$ $5$ $71$ $48$ $20$

The number of athletes who completed the race in less than $14.6\, s$ is:

Find the mode of the following frequency distribution:

Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$

Frequency $8$ $9$ $26$ $23$ $20$ $14$

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	$10-25$	$25-40$	$40-55$	$55-70$	$70-85$	$85-100$
Frequency	$5$	$21$	$21$	$8$	$25$	$20$

The median class in the following frequency distribution is $\ldots \ldots \ldots \ldots .$ Class $10-25$ $25-40$ $40-55$ $55-70$ $70-85$ $85-100$ Frequency $5$ $21$ $21$ $8$ $25$ $20$