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Which of the following measures of central tendency are NOT capable of algebraic treatment? (a)…

Positional averages such as the Median and Mode depend on the position or frequency concentration of observations rather than the mathematical value of every item in the…

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Which of the following measures of central tendency are NOT capable of algebraic treatment?

(a) Geometric Mean

(b) Median

(c) Arithmetic Mean

(d) Mode

(e) Harmonic Mean

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Answer and explanation

Correct answer C

Positional averages such as the Median and Mode depend on the position or frequency concentration of observations rather than the mathematical value of every item in the series. Consequently, unlike mathematical averages (Arithmetic Mean, Geometric Mean, and Harmonic Mean), the Median and Mode are not capable of further algebraic treatment such as computing combined group averages.

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