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Prove that geometric mean is less or equal to arithmetic mean but is greater than harmonic mean by using data 10, 20, 30, 40, 50. Also prove that AM.HM=GM

Prove that geometric mean is less or equal to arithmetic mean but is greater than harmonic mean by using data 10, 20, 30, 40, 50. Also prove that AM.HM=GM

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Prove that geometric mean is less or equal to arithmetic mean but is greater than harmonic mean by using data 10, 20, 30, 40, 50. Also prove that AM.HM=GM
Transcribed Image Text:Prove that geometric mean is less or equal to arithmetic mean but is greater than harmonic mean by using data 10, 20, 30, 40, 50. Also prove that AM.HM=GM
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Step 1

Measure of central tendency measures the central or average value of a dataset. Measured of dispersion measures the spread of the data.

Arithmetic mean, harmonic mean and geometric mean are 3 measure of central tendency. Arithmetic mean is more sensitive to outliers.

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