Table 1: Persons with secondary educationClasses ✓ Class BoundarieLess than 50Less than 54Less than 58Less than 62Less than 66Less than 70ΝΑ50-5454-5858-6262-6666-70ClassesLess than 8Less than 11Less than 14Less than 17Less than 20Less than 23Table 2: Persons with tertiary education-FrequencyClass BoundarieΝΑ8-1111-1414-1717-2020-2311453Frequency23343Cumulative Frequenc1261114Cumulative Frequenc2581215Cumulative Relative Frequenc0.06670.13330.40.73330.9333Cumulative Relative Frequenc0.13330.33330.53330.81Cumulative percentage6.70%13.30%40.00%73.30%93.30%Cumulative percentage13.30%33.30%53.30%80.00%100.00% Sheet 3a. With the aid of two tables for the two data sets, determine the following:i.Meanii.iii.VarianceStandard deviationb. Using the values of the mean and standard deviation for persons with tertiary education, obtained inpart 'a' sheet 3. Using Chebyshev' theorem, find at least what percentage of people in this group fellbetween +5 and -5 of the mean.

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Answered: Sheet 3 a. With the aid of two tables…

Sheet 3 a. With the aid of two tables for the two data sets, determine the following: Mean Variance Standard deviation i. ii. iii.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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Question

Table 1: Persons with secondary education
Classes ✓ Class Boundarie
Less than 50
Less than 54
Less than 58
Less than 62
Less than 66
Less than 70
ΝΑ
50-54
54-58
58-62
62-66
66-70
Classes
Less than 8
Less than 11
Less than 14
Less than 17
Less than 20
Less than 23
Table 2: Persons with tertiary education-
Frequency
Class Boundarie
ΝΑ
8-11
11-14
14-17
17-20
20-23
1
1
4
5
3
Frequency
2
3
3
4
3
Cumulative Frequenc
1
2
6
11
14
Cumulative Frequenc
2
5
8
12
15
Cumulative Relative Frequenc
0.0667
0.1333
0.4
0.7333
0.9333
Cumulative Relative Frequenc
0.1333
0.3333
0.5333
0.8
1
Cumulative percentage
6.70%
13.30%
40.00%
73.30%
93.30%
Cumulative percentage
13.30%
33.30%
53.30%
80.00%
100.00%

Sheet 3
a. With the aid of two tables for the two data sets, determine the following:
i.
Mean
ii.
iii.
Variance
Standard deviation
b. Using the values of the mean and standard deviation for persons with tertiary education, obtained in
part 'a' sheet 3. Using Chebyshev' theorem, find at least what percentage of people in this group fell
between +5 and -5 of the mean.

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Follow-up Question

b. Using the values of the mean and standard deviation for persons with tertiary education, obtained in
part 'a' sheet 3. Using Chebyshev' theorem, find at least what percentage of people in this group fell
between +5 and -5 of the mean.

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