Calculate the median in the following frequency distribution :Wages 50 – 60 60 – 70 7 0 – 80 80 – 90 90

Foundation

Mathematics Foundation

Measure of Central Tendency

Median

9th basic statistics

Question

Calculate the median in the following frequency distribution :

Wages	50 – 60	60 – 70	7 0 – 80	80 – 90	90 – 100
No. of labourers	5	10	15	20	25

None of these

83.75

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$M = 1 + \frac{\frac{N}{2} - c}{f} \times i$

here I =80

N/2 = 75/2

C = 30

f = 20

i = 10

$M = 80 + \frac{\frac{75}{2} - 30}{20} \times 10 = 80 + \frac{75 - 60}{4}$
= 80 + 3.75 = 83.75