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AP EAMCET · Maths · Statistics

Students of two sections A and B of a class show the following results in a test conducted for 100 marks.
\begin{array}{|l|c|c|}
\hline & Section A & Section B \\
\hline Number of students & 50 & 60 \\
\hline \begin{array}{l}
Average marks in the \\
test
\end{array} & 45 & 45 \\
\hline \begin{array}{l}
Variance of distribution \\
of marks
\end{array} & 64 & 81 \\
\hline
\end{array}
Then

  1. A variability of section \(B>\) variability of section \(A\)
  2. B variability of section \(A>\) variability of section \(B\)
  3. C variability of section \(A=\) variability of section \(B\)
  4. D The data is not sufficient to compare the variability of the sections
Verified Solution

Answer & Solution

Correct Answer

(A) variability of section \(B>\) variability of section \(A\)

Step-by-step Solution

Detailed explanation

\(\because\) Average marks of section A and section B in the test is same, but the variance of distribution of marks of section \(\mathrm{B}\) is greater than section \(\mathrm{A}\). \(\therefore\) Variability of section \(B>\) variability of section \(A\).