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
- A variability of section \(B>\) variability of section \(A\)
- B variability of section \(A>\) variability of section \(B\)
- C variability of section \(A=\) variability of section \(B\)
- D The data is not sufficient to compare the variability of the sections
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 \(A\).
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