In the manufacture of a certain scientific instrument great importance is attached to the life of a critical component. This component is obtained in bulk from two sources, A and B, and in a course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained: Source A Source B Life (hours) No. of components Life (hours) No. of components 1000 – 1020 40 1030 – 1040 339 1020 – 1040 96 1040 – 1050 136 1040 – 1060 364 1050 – 1060 25 1060 – 1080 372 1060 – 1070 20 1080 – 1100 85 1070 – 1080 130 1100 – 1120 43 1080 – 1090 350 Examine the effectiveness of the measures of dispersion with which you are familiar for comparing the dispersion of the two distributions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 2GP
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In the manufacture of a certain scientific instrument great importance is attached to the life of a critical
component. This component is obtained in bulk from two sources, A and B, and in a course of inspection,
the lives of 1000 of the components from each source are determined. The following frequency tables are
obtained:
Source A Source B
Life (hours) No. of components Life (hours) No. of components
1000 – 1020 40 1030 – 1040 339
1020 – 1040 96 1040 – 1050 136
1040 – 1060 364 1050 – 1060 25
1060 – 1080 372 1060 – 1070 20
1080 – 1100 85 1070 – 1080 130
1100 – 1120 43 1080 – 1090 350
Examine the effectiveness of the measures of dispersion with which you are familiar for comparing the
dispersion of the two distributions

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