The following is the age distribution of 1,000 persons working in a large industrial house: Age-group No. of persons Age-group No. of persons 20-25 30 45-50 105 25-30 160 50-55 70 2 30-35 210 55-60 60 1904 35 40 180 60-65 40 40 45 145 Due to continuous heavy losses the management decides to bring down the strength to 30% of the present number according to the following scheme: (i) To retrench the first 15% from the lower group. (ii) To absorb the next 45% in other branches. (iii) To make 10% from the highest age group retire permanently, if necessary. Calculate the age limits of the persons retained and those to be transferred to other departments. Also find the average age of those retained. 000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The following is the age distribution of 1,000 persons working in a large
industrial house:
Age-group
No. of persons
Age-group
No. of persons
20-25
30
45-50
105
25-30
160
50-55
70
2
30-35
210
55-60
60
505
35 40
180
60-65
40
40 45
145
Due to continuous heavy losses the management decides to bring down the strength to
30% of the present number according to the following scheme:
(i) To retrench the first 15% from the lower group.
(ii) To absorb the next 45% in other branches.
(iii) To make 10% from the highest age group retire permanently, if necessary.
Calculate the age limits of the persons retained and those to be transferred to other
departments. Also find the average age of those retained.
000
Transcribed Image Text:The following is the age distribution of 1,000 persons working in a large industrial house: Age-group No. of persons Age-group No. of persons 20-25 30 45-50 105 25-30 160 50-55 70 2 30-35 210 55-60 60 505 35 40 180 60-65 40 40 45 145 Due to continuous heavy losses the management decides to bring down the strength to 30% of the present number according to the following scheme: (i) To retrench the first 15% from the lower group. (ii) To absorb the next 45% in other branches. (iii) To make 10% from the highest age group retire permanently, if necessary. Calculate the age limits of the persons retained and those to be transferred to other departments. Also find the average age of those retained. 000
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