Identify the median class.
Farm size
$20 - 50$
$50 - 80$
$80 - 110$
$110 - 140$
$140 - 170$
Rooms
$4$
$8$
$12$
$16$
$20$

20 - 50

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50 - 80

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80 - 110

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110 - 140

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Solution

The correct option is D $110 - 140$
To find the median class:
First add the total number of frequencies.
Here, $f = 60$
$= \frac{(T o t a l n u m b e r o f f r e q u e n c y)}{2}$
$= (60) / 2 = 30$
Hence, the value 30 lies in the class interval 110-140 from the cummulative frequency table.

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IQ	70-80	80-90	90-100	100-110	110-120	120-130	130-140
No. of candidates	7	16	20	17	11	7	2

Age	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$
Number of persons	$170$	$110$	$80$	$45$	$40$	$35$

(140 - 45), (110 - 35), (100 - 30), (80 - 25)

The daily wages of 50 workers in a factory are as follows:

Find the probability that the daily wage of a worker lies in the interval:

i) 110 - 120 ii) 100 - 200 iii) 80 - 120

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Farm size	$20 - 50$	$50 - 80$	$80 - 110$	$110 - 140$	$140 - 170$
Rooms	$4$	$8$	$12$	$16$	$20$