Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

The total marks scored by two students Sathya and Vidhya in 5 subjects are 460 and 480 with standard deviation of 4.6 and 2.4 respectively. Who is more consistent in performance? - Mathematics

Sum

The total marks scored by two students Sathya and Vidhya in 5 subjects are 460 and 480 with standard deviation of 4.6 and 2.4 respectively. Who is more consistent in performance?

Solution

Total marks scored by Sathya = 460

Total marks scored by Vidhya = 480

Number of subjects = 5

Mean marks of sathya = 460/5

bar(x) = 92%

Given standard deviation, (σ) = 4.6

Coefficient of variation = sigma/bar(x) xx 100%

= 4.6/92 xx 100%

= 460/92

= 5%

Mean marks of vidhya = 480/5 = 96%

Given Standard deviation (σ) = 2.4

Coefficient of variation = 2.4/96 xx 100

= 240/96

= 2.5%

CV1 > CV2

Vidhya coefficient of variation is less than Sathya.

Vidhya is more consistent.

Concept: Coefficient of Variation
Is there an error in this question or solution?