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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 + √ [fi(i-1), 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: log G = xo + √ [fi(i-1), 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.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CR: Review Problem Set
Problem 62CR
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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 + 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.
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: Σfi(i-1), log G= = xo + 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.
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