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

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

Subject

 Mathematics Physics

Chemistry

Mean

 \small 42 \small 32

\small 40.9

Standard deviation

 \small 12 \small 15

\small 20

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

Answers (1)

best_answer

Given,

Standard deviation of physics = 15

Standard deviation of chemistry = 20

Standard deviation of mathematics = 12

We know ,

C.V. = \frac{Standard\ Deviation}{Mean}\times 100

The subject with greater C.V will be more variable than others.

C.V. _P= \frac{15}{32}\times 100 = 46.87

C.V. _C= \frac{20}{40.9}\times 100 = 48.89

C.V. _M= \frac{12}{42}\times 100 = 28.57

Hence, Mathematics has lowest variability and Chemistry has highest variability.

Posted by

HARSH KANKARIA

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