a) In a company having 80 employees, 60 earn Rs.3.00 per hour and 20 earn Rs.2.00 per
hour. (i) Determine the mean earnings per hour. (ii) Do you consider this mean hourly
wage to be typical?
b) An examination candidate's percentages are: English, 73; French, 82; Mathematics, 57;
Science, 62; History, 60. Find the candidate's weighted mean if weights of 4, 3, 3, 1, 1
respectively are allotted to the subjects.
Answers
Step-by-step explanation:
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Given : In a company having 80 employees,
60 earn Rs.3.00 per hour and 20 earn Rs. 2.00 per hour
To Find : (i) Determine the mean earnings per hour.
(ii) Do you consider this mean hourly wage to be typical?
Solution:
60 earn Rs.3.00 per hour
Earning of 60 employees per hr = 60 * 3 = 180 Rs
20 earn Rs. 2.00 per hour
Earning of 20 employees per hr = 20 * 2 = 40 Rs
Earning of 80 employees per hr = 180 + 40 = 220 Rs
mean earnings per hour = 220/80 = 2.75 Rs
mean hourly wage is not typical as median or mode would be the better measure
Subjects Marks Weight marks * weight
English 73 4 292
French 82 3 246
Mathematics 57 3 171
Science 62 1 62
History 60 1 60
12 831
weighted mean = 831/12 = 69.25
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