In the manufacturing of a certain scientific instrument great importance is attached to the life of a particular critical component. This component is obtained in bulk from two sources, A and B, and in the course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained:- Source A Source A Source B Source B Life (hours) No of components Life(hours) No of Components 1000-1020 1020-1040 1040-1060 1060-1080 1080-1100 1100-1120 40 96 364 372 85 43 1030-1040 1040-1050 1050-1060 1060-1070 1070-1080 1080-1090 339 136 25 20 130 350   i.                 Find Median and two quartiles for each group. ii.               Find mean and Standard deviation for each source and compare them. iii.              Which source do you think providing better quality of components and why?

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In the manufacturing of a certain scientific instrument great importance is attached to the life of a particular critical component. This component is obtained in bulk from two sources, A and B, and in the course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained:-

Source A

Source A

Source B

Source B
Life (hours)

No of components

Life(hours) No of Components

1000-1020

1020-1040

1040-1060

1060-1080

1080-1100

1100-1120

40

96

364

372

85

43

1030-1040

1040-1050

1050-1060

1060-1070

1070-1080

1080-1090

339

136

25

20

130

350

 

i.                 Find Median and two quartiles for each group.

ii.               Find mean and Standard deviation for each source and compare them.

iii.              Which source do you think providing better quality of components and why?

 

 

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