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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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Question

Chicago - Mean 51.68415

Median 52.72

Mode 72.5

Standard Deviation 19.98055

Sample Variance 399.2224

Range 109.53

Minimum -15.52

Maximum 94.01

Sum 656750.5

Count 12707

Seattle - Mean 51.96771

Median 51.44

Mode 45.5

Standard Deviation 10.44659

Sample Variance 109.1313

Range 77.04

Minimum 9.95

Maximum 86.99

Sum 1285161

Count 24730

(1) How does the average temperature of the two cities compare?

(2) How does the standard deviation of temperatures for the two cities compare? Which city has a smaller standard deviation?

(3) From the graph, could you tell which city has a smaller standard deviation? Why, or why not?

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| Chicago
600
Seattle
400
200
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Temp
Frequency

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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