Calculating Descriptive Statistics

User Generated

pubjneq09

Business Finance

Description

  1. For each variable in the data set provided, classify the variable as Nominal, Ordinal, Interval or Ratio. Explain why you made the decision for each.
  2. Find the Mean, Standard Deviation, and Range for The Salary variable for the entire data set and for the male and females separately.
  3. Find the first, second, and third quartiles and the interquartile range for the entire data set, the males and females separately. Compare the results of the male and females and comment on the results.
  4. To test if the data is approximately normal, use the empirical rule for the normal distribution. Find the percentage of male salaries within one, two, and three standard deviation of the mean. Compare the percentages to those predicted by the empirical rule for the normal distribution. Repeat the calculations for the female salaries. Comment on the results.

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ID Salary Compa Midpoint Age 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 62,9 27,2 34,9 64,6 49,2 77,7 41,2 22 73,4 23,9 21,8 60,8 41,8 23,3 24,6 47,4 66,6 34,8 24,5 35,9 77,1 58,9 23,8 55,1 24,6 24,1 45,3 75,2 78,7 48,3 24,2 27,6 61,2 27 23,8 24,4 23,5 61,3 34,4 24,7 1,104 57 31 31 57 48 67 40 23 67 23 23 57 40 23 23 40 57 31 23 31 67 48 23 48 23 23 40 67 67 48 23 31 57 31 23 23 23 57 31 23 34 52 30 42 36 36 32 32 49 30 41 52 30 32 32 44 27 31 32 44 43 48 36 30 41 22 35 44 52 45 29 25 35 26 23 27 22 45 27 24 0,879 1,127 1,134 1,026 1,160 1,029 0,956 1,095 1,039 0,947 1,066 1,044 1,012 1,070 1,186 1,169 1,124 1,065 1,159 1,150 1,228 1,036 1,147 1,069 1,047 1,133 1,122 1,175 1,006 1,050 0,889 1,074 0,872 1,036 1,060 1,023 1,075 1,109 1,076 Performance Service Gende Raise Rating r 85 80 75 100 90 70 100 90 100 80 100 95 100 90 80 90 55 80 85 70 95 65 65 75 70 95 80 95 95 90 60 95 90 80 90 75 95 95 90 90 8 7 5 16 16 12 8 9 10 7 19 22 2 12 8 4 3 11 1 16 13 6 6 9 4 2 7 9 5 18 4 4 9 2 4 3 2 11 6 2 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 1 0 5,7 3,9 3,6 5,5 5,7 4,5 5,7 5,8 4 4,7 4,8 4,5 4,7 6 4,9 5,7 3 5,6 4,6 4,8 6,3 3,8 3,3 3,8 4 6,2 3,9 4,4 5,4 4,3 3,9 5,6 5,5 4,9 5,3 4,3 6,2 4,5 5,5 6,3 41 42 43 44 45 46 47 48 49 50 45,8 22,4 75,6 61,3 59,7 55,1 63,8 62,8 64 66,3 1,145 0,975 1,129 1,075 1,244 0,967 1,119 1,101 1,122 1,163 40 23 67 57 48 57 57 57 57 57 25 32 42 45 36 39 37 34 41 38 80 100 95 90 95 75 95 90 95 80 5 8 20 16 8 20 5 11 21 12 0 1 1 0 1 0 0 1 0 0 4,3 5,7 5,5 5,2 5,2 3,9 5,5 5,3 6,6 4,6 Degree Gender 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 M M F M M M F F M F F M F F F M F F M F M F F F M F M F M M F M M M F F F M F M Gr E B B E D F C A F A A E C A A C E B A B F D A D A A C F F D A B E B A A A E B A The column labels in the table mean: ID – Employee sample number Salary – Salary in thousands Age – Age in years Performance Rating - Appraisal rating (em Service – Years of service (rounded) Gender – 0 = male, 1 = female Midpoint – salary grade midpoint Raise – percent of last raise Grade – job/pay grade Degree (0= BS\BA 1 = MS) Gender1 (Male or Female) Compa - salary divided by midpoint 0 1 0 1 1 1 1 1 0 0 M F F M F M M F M M C A F E D E E E E E ance Rating - Appraisal rating (employee evaluation score)
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Explanation & Answer

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ID

Salary

Compa

Midpoint

Age

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40

62,9
27,2
34,9
64,6
49,2
77,7
41,2
22
73,4
23,9
21,8
60,8
41,8
23,3
24,6
47,4
66,6
34,8
24,5
35,9
77,1
58,9
23,8
55,1
24,6
24,1
45,3
75,2
78,7
48,3
24,2
27,6
61,2
27
23,8
24,4
23,5
61,3
34,4
24,7

1,104

57
31
31
57
48
67
40
23
67
23
23
57
40
23
23
40
57
31
23
31
67
48
23
48
23
23
40
67
67
48
23
31
57
31
23
23
23
57
31
23

34
52
30
42
36
36
32
32
49
30
41
52
30
32
32
44
27
31
32
44
43
48
36
30
41
22
35
44
52
45
29
25
35
26
23
27
22
45
27
24

0,879
1,127
1,134
1,026
1,160
1,029
0,956
1,095
1,039
0,947
1,066
1,044
1,012
1,070
1,186
1,169
1,124
1,065
1,159
1,150
1,228
1,036
1,147
1,069
1,047
1,133
1,122
1,175
1,006
1,050
0,889
1,074
0,872
1,036
1,060
1,023
1,075
1,109
1,076

Performance Service
Rating
85
8
80
7
75
5
100
16
90
16
70
12
100
8
90
9
100
10
80
7
100
19
95
22
100
2
90
12
80
8
90
4
55
3
80
11
85
1
70
16
95
13
65
6
65
6
75
9
70
4
95
2
80
7
95
9
95
5
90
18
60
4
95
4
90
9
80
2
90
4
75
3
95
2
95
11
90
6
90
2

Gender
0
0
1
0
0
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
0
0
1
0
0
0
1
1
1
0
1
0

41
42
43
44
45
46
47
48
49
50

45,8
22,4
75,6
61,3
59,7
55,1
63,8
62,8
64
66,3

1,145
0,975
1,129
1,075
1,244
0,967
1,119
1,101
1,122
1,163

40
23
67
57
48
57
57
57
57
57

25
32
42
45
36
39
37
34
41
38

80
100
95
90
95
75
95
90
95
80

5
8
20
16
8
20
5
11
21
12

0
1
1
0
1
0
0
1
0
0

Raise Degree Gender1
5,7
3,9
3,6
5,5
5,7
4,5
5,7
5,8
4
4,7
4,8
4,5
4,7
6
4,9
5,7
3
5,6
4,6
4,8
6,3
3,8
3,3
3,8
4
6,2
3,9
4,4
5,4
4,3
3,9
5,6
5,5
4,9
5,3
4,3
6,2
4,5
5,5
6,3

0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
0
1
1
0
0
0
0
1
0
0
0
1
0
1
1
0
0
0
0
0
0

M
M
F
M
M
M
F
F
M
F
F
M
F
F
F
M
F
F
M
F
M
F
F
F
M
F
M
F
M
M
F
M
M
M
F
F
F
M
F
M

Grade
E
B
B
E
D
F
C
A
F
A
A
E
C
A
A
C
E
B
A
B
F
D
A
D
A
A
C
F
F
D
A
B
E
B
A
A
A
E
B
A

The column labels in the table mean:
ID – Employee sample number
Salary – Salary in thousan
Age – Age in years
Performance Rating - App
Service – Years of service (rounded) Gender ...


Anonymous
I was having a hard time with this subject, and this was a great help.

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