Two series and have the same mean. The standard deviation of is and that of is . Which statement is correct?

Series is more consistent Explanation: 1. Given Data Let the mean of Series be and the mean of Series be . According to the question: (say) Standard Deviation of Series ( ) = Standard Deviation of Series ( ) = 2. Formula and Concept To compare the variability, stability, or consistency of two data series, we use the Coefficient of Variation (C.V.) . The formula for the Coefficient of Variation is: Rule of Thumb: A series with a lower C.V. is considered more consistent (or less variable). A series with a higher C.V. is considered less consistent (or more variable). 3. Calculation For Series : For Series : 4. Conclusion Comparing the two values: Since Series has a lower coefficient of variation than Series , Series is more consistent (and Series is more variable). Therefore, the correct option is (c) . Correct Answer: (c) Series

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MAH-CET 2026 — Mathematics PYQ

MAH-CET | Mathematics | 2026

Two series $A$ and $B$ have the same mean. The standard deviation of $A$ is $5$ and that of $B$ is $10$ . Which statement is correct?

Choose the correct answer: