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Mathematics

Given below are the daily wages of 200 workers in a factory :

Daily Wages (in ₹)Number of Workers
240 – 30020
300 – 36030
360 – 42020
420 – 48040
480 – 54090

Calculate the mean daily wages.

Measures of Central Tendency

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Answer

Daily Wages (in ₹)Number of Workers (f)Class mark (x)d = x - Afd
240 – 30020270-120-2400
300 – 36030330-60-1800
360 – 42020A = 39000
420 – 48040450602400
480 – 5409051012010800
Total∑f = 200∑fd = 9000

By formula,

Mean=A+fdf=390+9000200=390+45=435.\text{Mean} = A + \dfrac{\sum fd}{\sum f} \\[1em] = 390 + \dfrac{9000}{200} \\[1em] = 390 + 45 \\[1em] = 435.

Hence, mean daily wage is ₹435.

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