Find the median of the following frequency di | vedclass

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(D) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$60-70$$5$$5$$70-80$$15$$20$$

Vedclass · Accepted Answer

$93$

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(D) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$60-70$$5$$5$$70-80$$15$$20$$80-90$$20$$40$$90-100$$30$$70$$100-110$$20$$90$$110-120$$8$$98$Total frequency $N = 98$. So,$N/2 = 98/2 = 49$.The cumulative frequency just greater than $49$ is $70$,which corresponds to the class interval $90-100$. Thus,the median class is $90-100$.Here,$l = 90$,$f = 30$,$cf = 40$,and $h = 10$.Using the formula: $	ext{Median} = l + \left( \frac{\frac{N}{2} - cf}{f} ight) 	imes h$$	ext{Median} = 90 + \left( \frac{49 - 40}{30} ight) 	imes 10$$	ext{Median} = 90 + \left( \frac{9}{30} ight) 	imes 10 = 90 + 3 = 93$.

Marks	Number of students
Below $10$	$3$
Below $20$	$12$
Below $30$	$27$
Below $40$	$57$
Below $50$	$75$
Below $60$	$80$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$2$	$6$	$8$	$x$	$20$	$18$	$y$	$14$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$6$	$x$	$17$	$y$	$8$

Find the median of the following frequency distribution:

Class $60-70$ $70-80$ $80-90$ $90-100$ $100-110$ $110-120$

Frequency $5$ $15$ $20$ $30$ $20$ $8$

Similar Questions

For the following distribution,the modal class is:

Marks Number of students

Below $10$ $3$

Below $20$ $12$

Below $30$ $27$

Below $40$ $57$

Below $50$ $75$

Below $60$ $80$

The median of the following frequency distribution is $49$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

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

Frequency $2$ $6$ $8$ $x$ $20$ $18$ $y$ $14$

The mean of the following frequency distribution is $46$. Find the missing frequency $f$.

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

Frequency $10, f, 7, 6, 5, 4$

The mean of the following data is $26.5$ and the total frequency is $60$. Find the missing frequencies $x$ and $y$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $6$ $x$ $17$ $y$ $8$

In the formula $\bar{x} = \frac{\Sigma f_{i} x_{i}}{\Sigma f_{i}}$,$x_{i}$ represents ..........

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Class	$0-20, 20-40, 40-60, 60-80, 80-100, 100-120$
Frequency	$10, f, 7, 6, 5, 4$

Find the median of the following frequency distribution: Class $60-70$ $70-80$ $80-90$ $90-100$ $100-110$ $110-120$ Frequency $5$ $15$ $20$ $30$ $20$ $8$