MHT CET · Maths · Statistics
Following data shows the information about marks obtained in Physics, Chemistry, Mathematics and Biology by 100 students in a class. Then ‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾ subject shows the highest variability in marks
- A Mathematics
- B Chemistry
- C Biology
- D Physics
Answer & Solution
Correct Answer
(C) Biology
Step-by-step Solution
Detailed explanation
\(\text { We know that Coefficient of Variation }=\) \(\frac{\text { Standard Deviation }}{\text { mean }} \)
\( \therefore \quad(\text { C.V. })_{\text {Physics }}=\frac{3}{20}=0.15 \text { and }(\text { C.V. })_{\text {Chemistry }}\) \(=\frac{2}{25}=0.08 \)
\( \left.\text { (C.V. })_{\text {Mathematics }}=\frac{4}{23}=0.174 \text { and (C.V. }\right)_{\text {Biology }}\) \(=\frac{5}{27}=0.185\)
\( \therefore \quad(\text { C.V. })_{\text {Physics }}=\frac{3}{20}=0.15 \text { and }(\text { C.V. })_{\text {Chemistry }}\) \(=\frac{2}{25}=0.08 \)
\( \left.\text { (C.V. })_{\text {Mathematics }}=\frac{4}{23}=0.174 \text { and (C.V. }\right)_{\text {Biology }}\) \(=\frac{5}{27}=0.185\)
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