Given the marks of 25 students in the class as m 1 , m 2 , ..., m 25 . Marks lie in the range of [1–100] and is the mean. Which of the following quantity has the value zero?

Explanation: The quantity that has a value of zero is the sum of the deviations from the mean: Here, represents the marks of each student, 1 2 3 4 represents the mean of the marks, and the sum is taken over all 25 students. 5 6 7 8 If the sum of the deviations from the mean is zero, it means that the deviations balance out to zero, indicatin 9 g that the mean represents the central tendency of the data accurately. 10 11 12 If the sum of the deviations from the mean is not zero, it means that the mean may not 13 accurately represent the central tendency of the data, and there may be a bias or skewness in the distribution of marks. 14 15 Therefore, the quantity with a va16lue of zero 17is:

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CUET PG 2022 — Mathematics PYQ

CUET PG | Mathematics | 2022

Given the marks of 25 students in the class as m₁, m₂, ..., m₂₅. Marks lie in the range of [1–100] and $\overline{m}$ is the mean. Which of the following quantity has the value zero?

Choose the correct answer: