The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use t
he statistics calculator to calculate the mean and median. Round the answers to the nearest hundredth.
2 answers:
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The histogram for the data is given at the end of this answer.
<h3>What is an histogram?</h3>An histogram is a graph that shows the number of times each element of x was observed.
In this problem:
- The elements of x are given by the time in hours.
- The histogram shows the number of runners that finished the race in x hours.
Hence, the graph given at the end of this answer is the histogram.
You can learn more about histogram at brainly.com/question/2962546
The area of the surface is given exactly by the integral,
We have
so the area is
We split up the domain of integration into 10 subintervals,
[0, 1/2], [1/2, 1], [1, 3/2], ..., [4, 9/2], [9/2, 5]
where the left and right endpoints for the -th subinterval are, respectively,
with midpoint
with .
Over each subinterval, we interpolate with the quadratic polynomial,
Then
It turns out that the latter integral reduces significantly to
which is about 651.918, so that the area is approximately .
Compare this to actual value of the integral, which is closer to 1967.