29 Dec 2021
Problem 64
Page 365
Section 6.1: Area Between Two Curves
Chapter 6: Applications of the Integral
Textbook ExpertVerified Tutor
29 Dec 2021
Given information
Given:-
Step-by-step explanation
Step 1.
To calculate the Gini index we will use the midpoint approximation. First, we find the y-coordinate of the midpoint of each segment that join the data points which is given by:
Thus,
Then we make the Riemann's sum:
Where 
is the area under the graph of 
is the midpoint of the 
th interval and 
is the amplitude of the interval which is constant and equal to 0.2 therefore for every interval:
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CALCULUS:EARLY TRANSCENDENTALS
4 Edition,
Rogawski
ISBN: 9781319050740
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