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Following are the marks obtained out of 100, by two students Reeta and Seeta in 10 tests.

Who is more intelligent and who is more consistent?

1 Answer

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Best answer

For Reeta :

And,

\(σ=\sqrt{\frac{\displaystyle\sum tx_i^2}{n}-(\frac{\displaystyle\sum x_i}{n})^2}\)

\(=\sqrt{\frac{21,139}{10}-(\frac{441}{10})^2}\)
\(=\sqrt\frac{2,11,930-1,94,481}{100}\)
\(=\sqrt{169.09}\)

= 13(approx.)

For Seeta:

Since co-effecient for Seeta is more than that of Reeta, so Seeta is more variable and hence Reeta is more consistent. And Seeta is more intelligent.

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