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: [fi(i-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. log G = xo + N

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 6CC
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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:
C
log G = xo + Σfi(i-1),
N
i
where
is the logarithm of the mid-value of the first interval and c is the logarithm of the ratio between
upper and lower boundaries.
xo
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: C log G = xo + Σfi(i-1), N i where is the logarithm of the mid-value of the first interval and c is the logarithm of the ratio between upper and lower boundaries. xo
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