Answered: Using the histograms, which of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the total number of cars waiting to pay their tolls at 15-minute intervals during two different days, once on a weekday and once on a weekend. The histograms below show the results.

Using the histograms, which of the following is the correct comparison of the distributions?

The 10–20 interval contains the most observations on both days.

The two distributions for number of cars in line are both skewed right.

The median number of cars for both distributions lies in the 20–30 interval.

There were more than 40 cars in line more often on the weekend than the weekday.

counted the total number of cars waiting to pay their tolls at 15-minute intervals during two different days, once on a
weekday and once on a weekend. The histograms below show the results.
Bridge Toll Booth Traffic
Weekday Traffic
Weekend Traffic
20
20
15
15
10
10
5
10
20
30
40
50
60
10
20
30
40 50
60
Number of Cars in Line
Number of Cars in Line
Frequency
Frequency

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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