QUESTION ONE A. The following table shows the marks obtained by applicants for a certain job in an aptitude test. 73 37 33 64 37 31 57 37 31 Sorted marks obtained by applicants 49 45 41 36 30 49 36 30 34 29 34 27 39 34 27 38 34 27 38 34 25 (i) Find the mean of the data set (ii) Find the standard deviation of the data set. (iii) Find the percentage of values that fall within two standard deviations around the mean. (iv) Find the percentage of values that fall within three standard deviations around the mean.

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QUESTION ONE
A. The following table shows the marks obtained by applicants for a certain job in an
aptitude test.
73
37
33
64
37
31
57
37
31
Sorted marks obtained by applicants
49
45
41
36
34
34
30
29
27
49
36
30
39
34
27
38
34
27
(1) Find the mean of the data set
(ii) Find the standard deviation of the data set.
(iii) Find the percentage of values that fall within two standard deviations
38
34
25
around the mean.
(iv) Find the percentage of values that fall within three standard deviations
around the mean.
Transcribed Image Text:QUESTION ONE A. The following table shows the marks obtained by applicants for a certain job in an aptitude test. 73 37 33 64 37 31 57 37 31 Sorted marks obtained by applicants 49 45 41 36 34 34 30 29 27 49 36 30 39 34 27 38 34 27 (1) Find the mean of the data set (ii) Find the standard deviation of the data set. (iii) Find the percentage of values that fall within two standard deviations 38 34 25 around the mean. (iv) Find the percentage of values that fall within three standard deviations around the mean.
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" Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts for you. To get the remaining sub-part solved, please repost the complete question and mention the subparts to be solved".

 

The formula for calculating the mean is

          Mean, μ=1ni=1nxi

The formula for calculating standard deviation is

          SD, σ=1ni=1nxi-μ2

Given that,

         number of observations, n=30

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