Question

In: Statistics and Probability

Each of the following three datasets represent IQ Scores for three random samples of different sizes....

Each of the following three datasets represent IQ Scores for three random samples of different sizes. The population mean is 100 population standard deviation is 15. Compute the sample mean, median and standard deviation for each sample size:

Sample Size 30 106 92 98 103 100 102 98 124 83 70 108 121 102 87 121 107 97 114 140 93 130 72 81 90 103 97 89 98 88 103

Solutions

Expert Solution

Given Sample Size = n = 30

MEAN:

MEDIAN:

To Calculate the Medain; first we have to arrange the given observations either in Ascending Order (Or) in Descending Order.

STANDARD DEVIATION (S.D):

CALCULATIONS:

*************************************************************

MEDIAN:

Arrangement of Observations in Ascending Order:

70 72 81 83 87 88 89 90 92 93 97 97 98 98 98 100 102 102 103 103 103 106 107 108 114 121 121 124 130 140

Therefore

**********************************************************************

STANDARD DEVIATION:

x
106 11236
92 8464
98 9604
103 10609
100 10000
102 10404
98 9604
124 15376
83 6889
70 4900
108 11664
121 14641
102 10404
87 7569
121 14641
107 11449
97 9409
114 12996
140 19600
93 8649
130 16900
72 5184
81 6561
90 8100
103 10609
97 9409
89 7921
98 9604
88 7744
103 10609
TOTAL 3017 310749

orchestra answered 1 year ago
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