Frequency 200- 150 100 50 Time difference -100 0 100 200 300 400 500 600 700 800

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 9E
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How does the speed of a runner vary over the course of a marathon (a
distance of 42.195 km)? Consider determining both the time to run the
first 5 km and the time to run between the 35-km and 40-km points, and
then subtracting the former time from the latter time. A positive value of
this difference corresponds to a runner slowing down toward the end of
the race. The accompanying histogram is based on times of runners who participated in several different Japanese marathons ("Factors Affecting
Runners' Marathon Performance," Chance, Fall, 1993: 24-30).
What are some interesting features of this histogram? What is a typical
difference value? Roughly what proportion of the runners ran the late
distance more quickly than the early distance?

Frequency
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150
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50
Time
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Transcribed Image Text:Frequency 200- 150 100 50 Time difference -100 0 100 200 300 400 500 600 700 800
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