Calculate the median from the following data
Rent (in Rs) $15 - 25$ $25 - 35$ $35 - 45$ $45 - 55$ $55 - 65$ $65 - 75$ $75 - 85$ $85 - 95$
No. of Houses $8$ $10$
$15$ $25$ $40$ $20$ $15$ $7$

58

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

59

No worries! We‘ve got your back. Try BYJU‘S free classes today!

48

No worries! We‘ve got your back. Try BYJU‘S free classes today!

49

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $58$
The cumulative frequency table for the given data is as follows:
C.I. $f_{i}$ c.f.
15 - 25 8 8
25 - 35 10 18
35 - 45 15 33
45 - 55 25 58
55 - 65 40 98
65 - 75 20 118
75 - 85 15 133
85 - 95 7 140
There are 140 observations, $N = 140 \Rightarrow \frac{N}{2} = 70$
So, $l = 55, h = 10, c = 58, f = 40$
$M e d i a n = l + \frac{(\frac{N}{2} - c) \times h}{f}$
$M e d i a n = 55 + \frac{(70 - 58) \times 10}{40} = 55 + \frac{120}{40}$
$M e d i a n = 55 + 3 = 58$

Suggest Corrections

Similar questions

Rent (in Rs.):	15−25	25−35	35−45	45−55	55−65	65−75	75−85	85−95
No. of Houses:	8	10	15	25	40	20	15	7

5 + 15 + 25 + 35 + 45 + 55 + 65 + 75 + 85 + 95 = ___

x	$15$	$25$	$35$	$45$	$55$	$65$	$75$	$85$
f	$12$	$20$	$15$	$14$	$16$	$11$	$7$	$8$

Class intervals / Frequency

15-25. 6

25-35. 11

35-45 . 7

45-55. 4

55-65. 4

65-75. 2

75-85 . 1

\begin{matrix} Class interval & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 & 85 - 95 Frequency & 12 & 16 & 17 & 15 & 8 & 19 & 13 \end{matrix}

Join BYJU'S Learning Program

Rent (in Rs)	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$	$65 - 75$	$75 - 85$	$85 - 95$
No. of Houses	$8$	$10$	$15$	$25$	$40$	$20$	$15$	$7$