(a) We determine the mean, median, and mode of a population in the same way that we determine the mean, median, and mode of a sample. By hand or in Minitab, find the mean, median, and mode ages of Presidents when they began their first term in office.(b) Below is a histogram displaying the ages at which U.S. presidents began their first term. Considering the results that you obtained in part (a), is the shape and center of the histogram surprising to you?(c) Using only the histogram from part (b), can you determine the age of President John F. Kennedy when he first took office? Why or why not? Below are the ages at which U.S. presidents began their first terms, increasing in order from George Washingtonto Barack Obama, with Grover Cleveland serving 2 nonconsecutive terms. This is an entire population of data, nota sample. This data is in column "Presidents Ages" in the Minitab worksheet.6157525757585754516847 5436151 4964486556465449555451565551545160625556616964465447(a) We determine the mean, median, and mode of a population in the same way that we determine the mean,median, and mode of a sample. By hand or in Minitab, find the mean, median, and mode ages of Presidents whenthey began their first term in office.(b) Below is a histogram displaying the ages at which U.S. presidents began their first term. Considering theresults that you obtained in part (a), is the shape and center of the histogram surprising to you?(c) Using only the histogram from part (b), can you determine the age of President John F. Kennedy when he firsttook office? Why or why not?

Given: Data 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56…

Answered: (a) We determine the mean, median, and…

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) We determine the mean, median, and mode of a population in the same way that we determine the mean, median, and mode of a sample. By hand or in Minitab, find the mean, median, and mode ages of Presidents when they began their first term in office. (b) Below is a histogram displaying the ages at which U.S. presidents began their first term. Considering the results that you obtained in part (a), is the shape and center of the histogram surprising to you? (c) Using only the histogram from part (b), can you determine the age of President John F. Kennedy when he first took office? Why or why not?

Below are the ages at which U.S. presidents began their first terms, increasing in order from George Washington
to Barack Obama, with Grover Cleveland serving 2 nonconsecutive terms. This is an entire population of data, not
a sample. This data is in column "Presidents Ages" in the Minitab worksheet.
61
57
52
57
57
58
57
54
51
68
47 5
43
61
51 49
64
48
65
56
46
54
49
55
54
51
56
55
51
54
51
60
62
55
56
61
69
64
46
54
47
(a) We determine the mean, median, and mode of a population in the same way that we determine the mean,
median, and mode of a sample. By hand or in Minitab, find the mean, median, and mode ages of Presidents when
they began their first term in office.
(b) Below is a histogram displaying the ages at which U.S. presidents began their first term. Considering the
results that you obtained in part (a), is the shape and center of the histogram surprising to you?
(c) Using only the histogram from part (b), can you determine the age of President John F. Kennedy when he first
took office? Why or why not?

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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