Question

Students of two sections A and B of a class show the following results in a test conducted for 100 marks. Then, the comparison of variability between Section A and Section B is:

• 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

Hint:

When comparing variability, always look at the variance. The section with the larger variance will have more spread, meaning higher variability.

Answer 1

The Correct Option is A

We are given the following data: \[ \text{Variance of Section A} = 64, \quad \text{Variance of Section B} = 81 \] Step 1: Compare the Variances.
Since \( \text{Variance of Section B} = 81>\text{Variance of Section A} = 64 \), we conclude that Section B has greater variability than Section A.
Step 2: Interpret the Results.
Since variance is a measure of the spread of the data, the section with the larger variance (Section B) has more variability in its marks. Final Answer: \[ \boxed{\text{Variability of Section B>Variability of Section A}} \]