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In a frequency table, the upper boundary of each class interval has a constant ratio to the lower boundary. Show that the geometric mean G may be expressed by the formula: Σfi(i-1), log G = xo + C i where xo is the logarithm of the mid-value of the first interval and c is the logarithm of the ratio between upper and lower boundaries.

In a frequency table, the upper boundary of each class interval has a constant ratio to the lower boundary. Show that the geometric mean G may be expressed by the formula: Σfi(i-1), log G = xo + C i where xo is the logarithm of the mid-value of the first interval and c is the logarithm of the ratio between upper and lower boundaries.

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
Problem 1P
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In a frequency table, the upper boundary of each class interval has a constant ratio to the lower boundary. Show that the geometric mean G may be expressed by the formula: log G = xo + ~ Σ f;ci -1), i where x is the logarithm of the mid-value of the first interval and c is the logarithm of the ratio between upper and lower boundaries.
Transcribed Image Text:In a frequency table, the upper boundary of each class interval has a constant ratio to the lower boundary. Show that the geometric mean G may be expressed by the formula: log G = xo + ~ Σ f;ci -1), i where x is the logarithm of the mid-value of the first interval and c is the logarithm of the ratio between upper and lower boundaries.
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