The monthly consumption of electricity (in units) of some families of a locality is given in the following frequency distribution:
Monthly consumption (in units) $140 - 160$ $160 - 180$ $180 - 200$ $200 - 220$ $220 - 240$ $240 - 260$ $260 - 280$
Number of families $3$ $8$ $15$ $40$ $50$ $30$ $10$
Prepare a 'more than type' given for the following frequency distribution.

Open in App

Solution

Monthly Consumption
( in units) Cumulative frequency
more than $140$ $156$
more than $160$ $153$
more than $180$ $145$
more than $200$ $130$
more than $220$ $90$
more than $240$ $40$
more than $260$ $10$
Plot the points on the graph:
$(140, 156), (160, 153), (180, 145), (200, 130), (220, 90), (240, 40)$ and $(260, 10)$ to get the 'more than type' ogive as follows:
from frequency table, $N = 156 \Rightarrow N / 2 = 78$
At $y = 78$
Draw a horizontal line meeting the curve at $P, A P$
Draw a vertical line from point $P$ which is parallel to $y -$ axis and meets $O X$ at $M$ .
$O M = 226 u n i t s$
Median consumption of electricity $= 226 u n i t s$

Suggest Corrections

Similar questions

Q. The monthly consumption of electricity (in units) of some families of a locality is given in the following frequency distribution:

Monthly consumption (in units)	140−160	160−180	180−200	200−220	220−240	240−260	260−280
Number of families	3	8	15	40	50	30	10

Prepare a 'more than type' ogive for the following frequency distribution. [CBSE 2014]

The monthly consumption of electricity (in units) of some families of a locality is given in the follwoing frequency distribution.

$\begin{matrix} M o n t h l y c o n s u m p t i o n (i n u n i t s) & 140 - 160 & 160 - 180 & 180 - 200 & 200 - 240 & 220 - 240 & 240 - 260 & 260 - 280 N u m b e r o f f a m i l i e s & 3 & 8 & 15 & 40 & 50 & 30 & 10 \end{matrix}$

Prepare a 'more than type'ogive for the given frequency distribution:

Q. The daily expenditure of 100 families are given below. Calculate f₁ and f₂ if the mean daily expenditure is ₹188.

Expenditure (in ₹)	140−160	160−180	180−200	200−220	220−240
Number of families	5	25	f₁	f₂	5

Q. Draw a cumulative frequency curve (less than type) for the following data and find the median from it:

Class interval	200-220	220-240	240-260	260-280	280-300	300-320
Frequency	7	3	6	8	2	4

Q. The following distribution gives the daily income of

50

workers of a factory:

Daily Income(In)	$100 - 120$	$120 - 140$	$140 - 160$	$160 - 180$	$180 - 200$
Number of workers	$12$	$14$	$8$	$6$	$10$

Convert the distribution to a less than type cumulative frequency distribution and draw its ogive.

Join BYJU'S Learning Program