The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality- Find the median of the data- beginarray - -Whine Monthly consumption in units -65-85-4Whline85-105 - 5 Whline105-125-13Whline 125-145-20Whline 145-165-14Whline165-185-8Whline185-205-4Whline array

The correct option is C 137 [ Class interval amp;Frequency amp;C.F; 65 85 amp;4 amp;4; 85 105 amp;5 ...

268

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Byju's Answer

Standard X

Mathematics

Finding Median for Grouped Data When Class Intervals Are Given

The following...

Question

The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality.
Find the median of the data.

$\begin{matrix} Monthly consumption (in units) & Numbers of customers 65 - 85 & 4 85 - 105 & 5 105 - 125 & 13 125 - 145 & 20 145 - 165 & 14 165 - 185 & 8 185 - 205 & 4 \end{matrix}$

140

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147

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137

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132

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Solution

The correct option is C
137

$\begin{matrix} Class interval & Frequency & C . F 65 - 85 & 4 & 4 85 - 105 & 5 & 9 105 - 125 & 13 & 22 125 - 145 & 20 & 42 145 - 165 & 14 & 56 165 - 185 & 8 & 64 185 - 205 & 4 & 68 \end{matrix}$

Here, n = 68 and hence $\frac{n}{2} = 34$
So, median class is 125-145

When we See the 34th Observation and join it to the ogive from both x and y axis,

The Median which we See from graph is 137.

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Similar questions

Q. The following frequency distribution gives the monthly consumption of electricity of

68

consumers of a locality. Find the median, mean and mode of the data and compare them.

Monthly consumption (in units)	Number of consumers
$65 - 85$ $85 - 105$ $105 - 125$ $125 - 145$ $145 - 165$ $165 - 185$ $185 - 205$	$4$ $5$ $13$ $20$ $14$ $8$ $4$

Q. The following frequency distribution gives the monthly consumption of

68

consumers of a locality. Find the median.

Monthly Consumption	$65 - 85$	$85 - 105$	$105 - 125$	$125 - 145$	$145 - 165$	$165 - 185$	$185 - 205$
No. of consumers	$4$	$5$	$13$	$20$	$14$	$8$	$4$

Q. The following frequency distribution gives the monthly consumption of electricity of

70

consumers of a locality.

Monthly Consumption(Units)	No. of Consumers
$65 - 85$	$04$
$85 - 105$	$05$
$105 - 125$	$13$
$125 - 145$	$22$
$145 - 165$	$14$
$265 - 185$	$08$
$185 - 205$	$04$

Find its mean and median.

The following frequency distribution gives the monthly consumption of electricity of $68$ consumers of a locality. Find the median, mean and mode of the data and compare them.

$\begin{matrix} Monthly~consumption~(in~units) & Number~of~consumers 65 - 85 & 4 85 - 105 & 5 105 - 125 & 13 125 - 145 & 20 145 - 165 & 14 165 - 185 & 8 185 - 205 & 4 \end{matrix}$

Q. The following frequency distribution gives the monthly consumption of electricity of

70

customers of a certain locality:

Monthly consumptions of Electricity (in units)	Frequency No. of consumers
$65 - 85$	$4$
$85 - 105$	$5$
$105 - 125$	$13$
$125 - 145$	$22$
$145 - 165$	$14$
$165 - 185$	$8$
$185 - 205$	$4$

Hence find mean and mode

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The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median of the data. Monthly consumption (in units)Numbers of customers65−85485−1055105−12513125−14520145−16514165−1858185−2054