The following table shows the number of workers in a factory and their daily wages. Find the median of the daily wages.
Daily wages(Rupees) $100 - 110$ $110 - 120$ $120 - 130$ $130 - 140$ $140 - 150$ $150 - 160$
No. of workers $37$ $38$ $40$ $33$ $28$ $24$

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Solution

$\frac{N}{2} = 100$ , corresponds to $120 - 130$ class
Median $= L + ⎛ ⎜ ⎜ ⎜ ⎝ \frac{\frac{N}{2} - F}{f m} ⎞ ⎟ ⎟ ⎟ ⎠ \times h$
where $F = 75$
$f m = 40$
$L = 120$
$h = 10$
$= 120 + ((\frac{100 - 75}{40}) \times 10)$
$= 120 + \frac{25}{4}$
$= 126.25$ .

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Similar questions

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

100

Daily wages (in Rs.)	$125$	$130$	$135$	$140$	$145$	$150$	$160$	$180$
No. of workers	$6$	$20$	$24$	$28$	$15$	$4$	$2$	$1$

Daily wages (in Rs.)	100-120	120-140	140-160	160-180	180-200
Number of workers	12	14	8	6	10

50

Daily wages (in C)	$100 - 120$	$120 - 140$	$140 - 160$	$160 - 180$	$180 - 200$
Number of workers	$12$	$14$	$8$	$6$	$10$

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Daily wages(Rupees)	$100 - 110$	$110 - 120$	$120 - 130$	$130 - 140$	$140 - 150$	$150 - 160$
No. of workers	$37$	$38$	$40$	$33$	$28$	$24$