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The Mean and Standard Deviation of Marks Obtained by 50 Students of a Class in Three Subjects, Mathematics, Physics and Chemistry Are Given Below: - Mathematics

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Question

The mean and standard deviation of marks obtained by 50 students of a class in three subjects, Mathematics, Physics and Chemistry are given below:

Subject

Mathematics

Physics

Chemistry

Mean

42

32

40.9

Standard deviation

12

15

20

Which of the three subjects shows the highest variability in marks and which shows the lowest?

Solution

Standard deviation of Mathematics = 12

Standard deviation of Physics = 15

Standard deviation of Chemistry = 20

The subject with greater C.V. is more variable than others.

Therefore, the highest variability in marks is in Chemistry and the lowest variability in marks is in Mathematics.

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Chapter 15: Statistics - Miscellaneous Exercise [Page 380]

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NCERT Mathematics [English] Class 11
Chapter 15 Statistics
Miscellaneous Exercise | Q 6 | Page 380

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