Question

The following table shows the number of workers in various trade
categories who workedfrom Monday to Friday in a week for
varyingnumber of hours each day. The hourly pay for categories I, II,
III, IV and V workers is Rs. 0.97, Rs. 0.77, Rs. 1.01, Rs.0.67 and Rs.
0.75 respectively. Calculate the average wage per hour per workers
for the whole week for all categories together.
Categories Number of Wrokers
Monday Tuesday Wednesday Thursday Friday
(7 hrs) (6 hrs) (5 hrs) (4 hrs) (5 hrs)
I
30
20
25
15
30
25
25
30
20
20
III
30
25
30
25
20
IV
20
20
20
20
25
V
25
20
25
15
25
(Hint: Find total hours under each category and take it as weight)​

Answer 1

Answer:

.............................

Answer 2

Answer:

Solution: Given Data

NUMBER OF WORKERS

Categories of workers Rate  Mon. Tues. Wed. Thurs. Fri. Total hours (f) Paid (fm)

m  (7 hours) (6 hours) (5 hours) (4 hours) (5 hours)  

A 0.97 30 20 25 15 30 120 116.4

B 0.77 25 25 30 20 20 120 92.4

C 1.01 30 25 30 25 20 130 131.3

D 0.67 20 20 20 20 25 105 70.35

E 0.75 25 20 25 15 25 110 82.5

Total  No of hours :585       Paid total:  492.95

Explanation:

N= 585 ,  ∑ fm= 492.95

 

Ẍ = (1/ 585) x 492.5 = 0.8418

Average wage/hour/worker for the whole week for all categories together =Rs 0.84/-per hrs