Question

# 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.)

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```

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

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