The data relating to the daily wage of 20 workers are shown below:` 50, ` 55, ` 60, ` 58, ` 59, ` 72, ` 65, ` 68, ` 53, ` 50, ` 67, ` 58,` 63, ` 69, ` 74, ` 63, ` 61, ` 57, ` 62, ` 64.The employer pays bonus amounting to ` 100, ` 200, ` 300, ` 400 and ` 500 to the wageearners in the wage groups ` 50 and not more than ` 55 ` 55 and not more than ` 60 andso on and lastly ` 70 and not more than ` 75, during the festive month of October.What is the average bonus paid per wage earner?
Answers
Given : data relating to the daily wage of 20 workers
50, ` 55, ` 60, ` 58, ` 59, ` 72, ` 65, ` 68, ` 53, ` 50, ` 67, ` 58, ` 63, ` 69, ` 74, ` 63, ` 61, ` 57, ` 62, ` 64.
.The employer pays bonus amounting to ` 100, ` 200, ` 300, ` 400 and ` 500 to the wage earners in the wage groups ` 50 and not more than ` 55 ` 55 and not more than ` 60 and so on and lastly ` 70 and not more than ` 75, during the festive month of October.
To Find : average bonus paid per wage earner
Solution:
50, ` 55, ` 60, ` 58, ` 59, ` 72, ` 65, ` 68, ` 53, ` 50, ` 67, ` 58, ` 63, ` 69, ` 74, ` 63, ` 61, ` 57, ` 62, ` 64.
50 - 55 4 ( 50 , 50 , 53 , 55)
55 - 60 5 ( 57 , 58 , 58 , 59 , 60)
60 - 65 6 ( 61 , 62 , 63 , 63 , 64 , 65)
65 - 70 3 ( 67 , 68 , 69)
70 - 75 2 ( 72 , 74)
Bonus paid = 4 * 100 + 5 * 200 + 6 * 300 + 3 * 400 + 2 * 500
= 400 + 1000 + 1800 + 1200 + 1000
= 5400
the average bonus paid per wage earner = 5400/20 = 270
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