Given bellows is the number of units of electricity consumed in a week in a certain locality:
Consumption (in unit) $65 - 85$ $85 - 105$ $105 - 125$ $125 - 145$ $145 - 165$ $165 - 185$ $185 - 205$
Number of consumers $4$ $5$ $13$ $20$ $14$ $7$ $4$

Find Median value of Electricity Consumption.

Question

Given bellows is the number of units of electricity consumed in a week in a certain locality:

Consumption (in unit)	$65 - 85$	$85 - 105$	$105 - 125$	$125 - 145$	$145 - 165$	$165 - 185$	$185 - 205$
Number of consumers	$4$	$5$	$13$	$20$	$14$	$7$	$4$

Find Median value of Electricity Consumption.

Filo · Accepted Answer

Consumption (in unit)Frequency ficf65−854485−10559105−1251322125−1452042145−1651456165−185763185−205467Sum 67Where cf= cumulative frequencyMedian =1+⎩⎨⎧​h×f(2N​−cf)​⎭⎬⎫​HereN=67N/2=33.5cf just greater than 33.5 is 42Median class =125−145So, I=125, h=20, f=20 andcf=cf of preceding class i.e 22Substitute all the value in the above formula, we getMedian =125+{20×(33.5−22)/20}=125+11.5=136.5Thus, median of electricity consumed is 136.5.

Question Text	Given bellows is the number of units of electricity consumed in a week in a certain locality: Find Median value of Electricity Consumption.
Answer Type	Text solution:1
Upvotes	150

Given bellows is the number of units of electricity consumed in a week in a certain locality:
Consumption (in unit) $65 - 85$ $85 - 105$ $105 - 125$ $125 - 145$ $145 - 165$ $165 - 185$ $185 - 205$
Number of consumers $4$ $5$ $13$ $20$ $14$ $7$ $4$

Find Median value of Electricity Consumption.

Text solutionVerified

Practice questions from similar books

Consumption (in unit)	Frequency $f i$	$c f$
$65 - 85$	$4$	$4$
$85 - 105$	$5$	$9$
$105 - 125$	$13$	$22$
$125 - 145$	$20$	$42$
$145 - 165$	$14$	$56$
$165 - 185$	$7$	$63$
$185 - 205$	$4$	$67$
	Sum $67$

Given bellows is the number of units of electricity consumed in a week in a certain locality: Consumption (in unit)65−8585−105105−125125−145145−165165−185185−205Number of consumers4513201474Find Median value of Electricity Consumption.

Text solutionVerified

Practice questions from similar books

Given bellows is the number of units of electricity consumed in a week in a certain locality:
Consumption (in unit) $65 - 85$ $85 - 105$ $105 - 125$ $125 - 145$ $145 - 165$ $165 - 185$ $185 - 205$
Number of consumers $4$ $5$ $13$ $20$ $14$ $7$ $4$

Find Median value of Electricity Consumption.