Math, asked by yashiijainn, 1 month ago

UNIT II
Q. 2- An analysis of the monthly wages paid to workers
in two firms METRO and ORTEM, belonging to the
same industry, give the following result:
PARTICULARS FIRM
METRO ORTEM
Number of wages earners 586 648
Average monthly - wage
52.5 47.5
Standard deviation of wages
(1) Which firm METRO or ORTEM. Pays out the
larger amount as monthly wages?
(2) In which firm METRO or ORTEM. Is there
grater variability in individual wages?
10

Answers

Answered by amitnrw
0

Given : Analysis of the monthly wages paid to workers  in two firms METRO and ORTEM,

To Find : (1) Which firm METRO or ORTEM, Pays out the  larger amount as monthly wages?

(2) In which firm METRO or ORTEM, Is there grater variability in individual wages?

Solution:

METRO

Number of wages earners  586

Average monthly - Wage  52.5

Standard deviation of wages  10

Total Wages = Number of wages earners  x Average monthly

=> Total Wages  =  586 x  52.5 =  30,765

coefficient of variation  = Standard deviation/Mean

= 10/52.5

= 0.19

ORTEM

Number of wages earners  648

Average monthly - Wage  47.5

Standard deviation of wages  11

Total Wages = Number of wages earners  x Average monthly

=> Total Wages  = 648 x  47.5 =  30,780

coefficient of variation  = Standard deviation/Mean

= 11/47.5

= 0.23

ORTEM, Pays larger amount as monthly wages   as 30,780 > 30,765

grater variability in individual wages is in ORTEM as coefficient of variation

0.23 > 0.19

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