Question

In: Statistics and Probability

Many standard statistical methods that you will study in Part II of this book are intended...

Many standard statistical methods that you will study in Part II of this book are intended for use with distributions that are symmetric and have no outliers. These methods start with the mean and standard deviation, x and s. For example, standard methods would typically be used for the IQ and GPA data here data215.dat.

(a) Find x and s for the IQ data. (Round your answers to two decimal places.)

X=

s=

Here are the numbers

obs     gpa     iq      gender  concept
1       9.88    81      2       67
2       10.7    114     2       43
3       7.08    128     2       52
4       4.09    112     2       66
5       8.8     107     1       58
6       7.7     86      2       51
7       7.19    107     2       71
8       4.97    86      2       51
9       9.82    91      1       49
10      8.26    81      2       51
11      9.92    100     1       35
12      9.34    105     1       54
13      8.23    94      2       54
14      6.57    76      1       64
15      10.29   117     1       56
16      10.65   116     1       69
17      2.26    113     1       55
18      7.65    122     1       65
19      6.4     102     2       40
20      10.66   111     1       66
21      8.18    120     2       55
22      10.54   80      2       20
24      5.83    112     1       56
26      10.07   94      2       68
27      10.39   130     1       69
28      5.25    103     2       70
29      10.38   77      2       80
30      9.23    112     2       53
31      5.69    77      2       65
32      8.61    103     1       67
33      10.58   82      1       62
34      8.21    108     1       39
35      8.77    101     2       71
36      5.21    101     2       59
37      9.68    101     1       60
38      5.58    128     2       64
39      10.25   98      2       71
40      4.08    110     1       72
41      10.64   84      1       54
43      6.6     120     2       64
44      8.78    101     2       58
45      8.72    80      2       70
46      8.64    106     2       72
47      10.19   75      2       70
48      7.04    97      2       47
50      8.58    109     2       52
51      8.33    102     1       46
52      10.81   77      2       66
53      6.87    128     2       67
54      10.86   89      2       63
55      7.08    94      2       53
56      8.1     126     2       67
57      5.55    111     2       61
58      7.31    124     1       54
59      1.29    96      1       60
60      8.86    110     1       60
61      8.78    106     2       63
62      9.63    112     2       30
63      6.75    100     2       54
64      7.77    108     2       66
65      6.36    96      2       44
68      6.47    99      2       49
69      10.77   90      1       44
71      7.97    100     2       67
72      9.64    118     1       64
74      5.79    108     2       73
76      9.06    117     2       59
77      7.93    112     1       37
78      9.64    87      1       63
79      8       94      2       36
80      10.29   92      1       64
83      5.28    107     2       42
84      9.24    86      1       28
85      7.7     120     1       60
86      6.57    108     1       70
87      9.68    96      2       51
88      7.21    74      1       21
89      3.94    95      2       56

Solutions

Expert Solution

a.Mean=

b. To find standard deviation create the following table.

data data-mean (data - mean)2
81 -20.7949 432.42786601
114 12.2051 148.96446601
128 26.2051 686.70726601
112 10.2051 104.14406601
107 5.2051 27.09306601
86 -15.7949 249.47886601
107 5.2051 27.09306601
86 -15.7949 249.47886601
91 -10.7949 116.52986601
81 -20.7949 432.42786601
100 -1.7949 3.22166601
105 3.2051 10.27266601
94 -7.7949 60.76046601
76 -25.7949 665.37686601
117 15.2051 231.19506601
116 14.2051 201.78486601
113 11.2051 125.55426601
122 20.2051 408.24606601
102 0.2051 0.04206601
111 9.2051 84.73386601
120 18.2051 331.42566601
80 -21.7949 475.01766601
112 10.2051 104.14406601
94 -7.7949 60.76046601
130 28.2051 795.52766601
103 1.2051 1.45226601
77 -24.7949 614.78706601
112 10.2051 104.14406601
77 -24.7949 614.78706601
103 1.2051 1.45226601
82 -19.7949 391.83806601
108 6.2051 38.50326601
101 -0.7949 0.63186601
101 -0.7949 0.63186601
101 -0.7949 0.63186601
128 26.2051 686.70726601
98 -3.7949 14.40126601
110 8.2051 67.32366601
84 -17.7949 316.65846601
120 18.2051 331.42566601
101 -0.7949 0.63186601
80 -21.7949 475.01766601
106 4.2051 17.68286601
75 -26.7949 717.96666601
97 -4.7949 22.99106601
109 7.2051 51.91346601
102 0.2051 0.04206601
77 -24.7949 614.78706601
128 26.2051 686.70726601
89 -12.7949 163.70946601

Find the sum of numbers in the last column to get

orchestra answered 2 years ago
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