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Question
The mean and standard deviation of marks obtained by 40 students of a class in three subjects Mathematics, Science and Social Science are given below
| Subject | Mean | SD |
| Mathematics | 56 | 12 |
| Science | 65 | 14 |
| Social Science | 60 | 10 |
Which of the three subjects shows more consistent and which shows less consistent in marks?
Solution
(i) Mathematics:
Mean `(barx)` = 56
Standard deviation (σ) = 12
Coefficient variation (CV1) = `sigma/(barx) xx 100`
= `12/56 xx 100`
= `1200/56`
= 21.43
(ii) Science:
Mean `(barx)` = 65, Standard deviation (σ) = 14
Coefficient variation (CV2) = `14/65 xx 100`
= `1400/65`
= 21.54
(iii) Social:
Mean `(barx)` = 60, Standard devaition (σ) = 10
Coefficient variation (CV3) = `10/60 xx 100`
= `1000/60`
= 16.67
Science shows the more consistent
Social science shows the less consistent
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