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 $(cf)$  $0-5$$5$$5$  $5-10$$15$$2

Vedclass · Accepted Answer

$11.67$

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(D) To find the median,we first calculate the cumulative frequency $(cf)$:  ClassFrequency $(f)$Cumulative Frequency $(cf)$  $0-5$$5$$5$  $5-10$$15$$20$  $10-15$$15$$35$  $15-20$$8$$43$  $20-25$$4$$47$  $25-30$$2$$49$  $30-35$$1$$50$Total frequency $N = 50$. So,$N/2 = 25$.The cumulative frequency just greater than $25$ is $35$,which corresponds to the class interval $10-15$.Thus,the median class is $10-15$.Here,$l = 10$,$f = 15$,$cf$ (of preceding class) $= 20$,and $h = 5$.Using the median formula: $	ext{Median} = l + \left( \frac{\frac{N}{2} - cf}{f} ight) 	imes h$$	ext{Median} = 10 + \left( \frac{25 - 20}{15} ight) 	imes 5$$	ext{Median} = 10 + \left( \frac{5}{15} ight) 	imes 5 = 10 + \frac{25}{15} = 10 + 1.666... = 11.67$.

Class	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$	$80-90$
Frequency	$8$	$12$	$27$	$x$	$55$	$37$	$y$

Find the median of the following frequency distribution:

Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$

Frequency $5$ $15$ $15$ $8$ $4$ $2$ $1$

Similar Questions

The mode of the following frequency distribution is $64$ and the total frequency is $200.$ Find the missing frequencies $x$ and $y.$

Class $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ $80-90$

Frequency $8$ $12$ $27$ $x$ $55$ $37$ $y$

For the following distribution:

Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$

Frequency $10$ $15$ $12$ $20$ $9$

the sum of the lower limits of the median class and the modal class is:

Rachana had an average score of $45$ from $6$ tests. Her teacher dropped her lowest score,which is $30$,and calculated the average of the remaining scores to decide her grade. Which of the following gives her new average score?

Cumulative frequency curve is also known as ........

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.

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Class	$0-5$	$5-10$	$10-15$	$15-20$	$20-25$
Frequency	$10$	$15$	$12$	$20$	$9$

Find the median of the following frequency distribution: Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$ Frequency $5$ $15$ $15$ $8$ $4$ $2$ $1$