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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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.
Transcribed Image Text: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.
Table 1: Persons with secondary education
Classes
Less than 50
Less than 54
Less than 58
Less than 62
Less than 66
Less than 70
Less than 74
Class Boundarie
ΝΑ
50-54
54-58
58-62
62-66
Classes
Less than 8
Less than 11
Less than 14
Less than 17
Less than 20
Less than 23
66-70
70-74
Table 2: Persons with tertiary education-
Frequency
Class Boundarie
ΝΑ
08-Nov
Nov-14
14-17
17-20
20-23
1
1
4
5
3
1
Frequency
2
3
3
4
3
Cumulative Frequenc→ Cumulative Relative Frequenc→ Cumulative percentage
1
2
6
11
14
15
Cumulative Frequenc
2
5
8
12
15
0.0667
0.1333
0.4
0.7333
0.9333
1
Cumulative Relative Frequenc
0.1333
0.3333
0.5333
0.8
1
6.70%
13.30%
40.00%
73.30%
93.30%
100.00%
Cumulative percentage
13.30%
33.30%
53.30%
80.00%
100.00%
Transcribed Image Text:Table 1: Persons with secondary education Classes Less than 50 Less than 54 Less than 58 Less than 62 Less than 66 Less than 70 Less than 74 Class Boundarie ΝΑ 50-54 54-58 58-62 62-66 Classes Less than 8 Less than 11 Less than 14 Less than 17 Less than 20 Less than 23 66-70 70-74 Table 2: Persons with tertiary education- Frequency Class Boundarie ΝΑ 08-Nov Nov-14 14-17 17-20 20-23 1 1 4 5 3 1 Frequency 2 3 3 4 3 Cumulative Frequenc→ Cumulative Relative Frequenc→ Cumulative percentage 1 2 6 11 14 15 Cumulative Frequenc 2 5 8 12 15 0.0667 0.1333 0.4 0.7333 0.9333 1 Cumulative Relative Frequenc 0.1333 0.3333 0.5333 0.8 1 6.70% 13.30% 40.00% 73.30% 93.30% 100.00% Cumulative percentage 13.30% 33.30% 53.30% 80.00% 100.00%
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