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Questions › DSE › DSE 2005 › Q21
2 marks, −1Statistics › Descriptive statistics and dispersion › The arithmetic mean and its propertiesModerateabout 2 min

DSE 2005 Question 21: Descriptive statistics and dispersion

Provided c≠0c\ne 0c=0, the expression ∑i=1n(c−xi)−∑i=1n(cyi−xi)c\dfrac{\sum_{i=1}^{n}(c-x_i)-\sum_{i=1}^{n}(cy_i-x_i)}{c}c∑i=1n​(c−xi​)−∑i=1n​(cyi​−xi​)​ is identical to

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Provided c≠ 0, the expression (Σᵢ₌₁ⁿ(c-xᵢ)-Σᵢ₌₁ⁿ(cyᵢ-xᵢ))/c is identical to (A) 1-nȳ (B) n-nȳ (C) n+nȳ (D) 1+nȳ

Also written as: Provided c!= 0, the expression (sum_(i=1)^n(c-x_i)- sum_(i=1)^n(cy_i-x_i))/c is identical to

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.

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Practise Descriptive statistics and dispersionMore on The arithmetic mean and its properties

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Question from the DSE 2005 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.