Find the median of the following frequency di | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$0-10$$2$$2$$10-20$$6$$8$$20-

Vedclass · Accepted Answer

$49$

Vedclass · Answer

(C) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$0-10$$2$$2$$10-20$$6$$8$$20-30$$8$$16$$30-40$$16$$32$$40-50$$20$$52$$50-60$$18$$70$$60-70$$16$$86$$70-80$$14$$100$Total frequency $N = 100$. So,$N/2 = 50$.The cumulative frequency just greater than $50$ is $52$,which corresponds to the class interval $40-50$.Thus,the median class is $40-50$.Here,$l = 40$,$f = 20$,$cf = 32$,and $h = 10$.Using the median formula: $	ext{Median} = l + \left( \frac{N/2 - cf}{f} ight) 	imes h$$	ext{Median} = 40 + \left( \frac{50 - 32}{20} ight) 	imes 10$$	ext{Median} = 40 + \left( \frac{18}{20} ight) 	imes 10 = 40 + 9 = 49$.

Find the median of the following frequency distribution:

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

Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$

Similar Questions

For a given frequency distribution,$n=100, A=15$ and $\bar{x}=15$. Then,$\Sigma f_{i} d_{i} = \ldots$

If $3 \bar{x} = 2 M = 60,$ then $Z = \dots$

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

If the modal class of a frequency distribution is $70-85,$ then in the formula for mode,$l=$ ..........

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$2$	$6$	$8$	$16$	$20$	$18$	$16$	$14$

Find the median of the following frequency distribution: Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$