Answered: 1. A class of undergraduate mechanical…

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

A class of undergraduate mechanical engineering students was surveyed. Respondents were asked about their political alignment. Of the 340 students who answered that question, 45 declared being conservative, 126 aligned with liberal ideology and 169 saw themselves as moderate.

i) Give a frequency table for these data on political alignment.

ii) Show how to obtain the corresponding relative frequency distribution and write a short sentence describing it.

iii) How many modes do you see? What might explain this?

iv) Is the shape symmetric, skewed right or left? What might explain this?

Finally, in that same survey, respondents were asked to pick a random number from 1 to 9.

v) What type of shape do you expect to see for a histogram displaying their answers and why?

1. A class of undergraduate mechanical engineering students was surveyed. Respondents were asked
about their political alignment. Of the 340 students who answered that question, 45 declared being
conservative, 126 aligned with liberal ideology and 169 saw themselves as moderate.
i) Give a frequency table for these data on political alignment.
ii) Show how to obtain the corresponding relative frequency distribution and write a short sentence
describing it.
In that same survey, students were also asked their height (in inches). The histogram below shows
the distribution of their answers. Answer the following questions about its shape.
Frequency
80
60+
40-
20
65
Height (Inches)
70
iii) How many modes do you see? What might explain this?
iv) Is the shape symmetric, skewed right or left? What might explain this?
Finally, in that same survey, respondents were asked to pick a random number from 1 to 9.
v) What type of shape do you expect to see for a histogram displaying their answers and why?

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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