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 $(cf)$  $30-35$$1$$1$  $35-40$$2$

Vedclass · Accepted Answer

$54.56$

Vedclass · Answer

(C) To find the median,we first calculate the cumulative frequency $(cf)$:  ClassFrequency $(f)$Cumulative Frequency $(cf)$  $30-35$$1$$1$  $35-40$$2$$3$  $40-45$$5$$8$  $45-50$$10$$18$  $50-55$$17$$35$  $55-60$$15$$50$  $60-65$$9$$59$  $65-70$$5$$64$  $70-75$$3$$67$Total frequency $N = 67$. So,$N/2 = 67/2 = 33.5$.Looking at the $cf$ column,the median class is $50-55$ because $33.5$ lies in this interval.Here,lower limit $l = 50$,class size $h = 5$,frequency of median class $f = 17$,and cumulative frequency of the class preceding the median class $cf = 18$.Using the median formula: $	ext{Median} = l + \left( \frac{N/2 - cf}{f} ight) 	imes h$$	ext{Median} = 50 + \left( \frac{33.5 - 18}{17} ight) 	imes 5$$	ext{Median} = 50 + \left( \frac{15.5}{17} ight) 	imes 5$$	ext{Median} = 50 + \frac{77.5}{17} \approx 50 + 4.5588 \approx 54.56$.

Class	$1-3$	$3-5$	$5-7$	$7-10$
Frequency	$9$	$22$	$27$	$17$

Class	$200-299$	$300-399$	$400-499$	$500-599$	$600-699$	$700-799$	$800-899$
Frequency	$3$	$61$	$118$	$139$	$126$	$151$	$2$

Find the median of the following frequency distribution:

Class $30-35$ $35-40$ $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$

Frequency $1$ $2$ $5$ $10$ $17$ $15$ $9$ $5$ $3$

Similar Questions

Find the mean of the distribution:

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

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

$Z - M = \ldots \ldots \ldots \times (M - \bar{x})$

In the formula $\bar{x} = A + \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \times c$,$c$ represents .......

$\sum_{i=1}^{10} (x_i - \bar{x}) = \dots$

Find the mean of the following data:

Class $200-299$ $300-399$ $400-499$ $500-599$ $600-699$ $700-799$ $800-899$

Frequency $3$ $61$ $118$ $139$ $126$ $151$ $2$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the median of the following frequency distribution: Class $30-35$ $35-40$ $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$ Frequency $1$ $2$ $5$ $10$ $17$ $15$ $9$ $5$ $3$