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Questions › CUET-PG › CUET-PG 2025 › Q68
4 marks, −1Statistics › Descriptive statistics and dispersion › The arithmetic mean and its propertiesModerateabout 1 min

CUET-PG 2025 Question 68: Descriptive statistics and dispersion

Match List-I (Concepts) with List-II (Formula): List-I: (A) Weighted Mean; (B) Grand Mean of Combined Data; (C) Harmonic Mean; (D) Geometric Mean. List-II: (I) (∏i=1nxi)1/n\left(\prod_{i=1}^{n} x_i\right)^{1/n}(∏i=1n​xi​)1/n; (II) n∑i=1n1/ai\dfrac{n}{\sum_{i=1}^{n} 1/a_i}∑i=1n​1/ai​n​; (III) ∑w⋅x∑w\dfrac{\sum w\cdot x}{\sum w}∑w∑w⋅x​; (IV) ∑n⋅xˉ∑n\dfrac{\sum n\cdot \bar x}{\sum n}∑n∑n⋅xˉ​.

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Match List-I (Concepts) with List-II (Formula): List-I: (A) Weighted Mean; (B) Grand Mean of Combined Data; (C) Harmonic Mean; (D) Geometric Mean. List-II: (I) (Πᵢ₌₁ⁿ xᵢ)^(1/n); (II) n/(Σᵢ₌₁ⁿ 1/aᵢ); (III) (Σ w· x)/(Σ w); (IV) (Σ n· x̄)/(Σ n). (A) (A)-(IV), (B)-(II), (C)-(III), (D)-(I) (B) (A)-(II), (B)-(I), (C)-(IV), (D)-(III) (C) (A)-(I), (B)-(II), (C)-(IV), (D)-(III) (D) (A)-(III), (B)-(IV), (C)-(II), (D)-(I)

Also written as: Match List-I (Concepts) with List-II (Formula): List-I: (A) Weighted Mean; (B) Grand Mean of Combined Data; (C) Harmonic Mean; (D) Geometric Mean. List-II: (I) (prod_(i=1)^n x_i)^(1/n); (II) n/(sum_(i=1)^n 1/a_i); (III) (sum w* x)/(sum w); (IV) (sum n* x_bar)/(sum n).

Descriptive statistics and dispersion has come up 117 times in 6 exams since 2004.

What this question tests

This question is on The arithmetic mean and its properties, part of Descriptive statistics and dispersion in Statistics.

Computing the mean from raw and grouped data, and what changes when data are shifted, scaled or corrected.

TestStop has 12 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q3Let {x₁, x₂, ⋯, xₙ} be a sample with mean x̄, and let k be a real number other than x̄. Define S₁ = Σᵢ₌₁ⁿ…
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Question from the CUET-PG 2025 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.