Consider a data set containing the following values: 60 93 84 80 95 66 78 90 The mean of the preceding values is 84.875. The deviations from the mean have been calculated as follows: -24.875 8.125 -0.875 -4.875 10.125 14.125 -6.875 5.125 If this is sample data, the sample variance is and the sample standard deviation is If this is population data, the population variance is and the population standard deviation is Suppose the smallest value of 60 in the data was misrecorded as 75. If you were to recalculate the variance and standard deviation with the 75 instead of the 60, your new values for the variance and standard deviation would be

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider a data set containing the following values:
60
93
84
80
95
99
78
90
The mean of the preceding values is 84.875. The deviations from the mean have been calculated as follows:
-24.875
8.125
-0.875
-4.875
10.125
14.125
-6.875
5.125
If this is sample data, the sample variance is
and the sample standard deviation is
If this is population data, the population variance is
and the population standard deviation is
Suppose the smallest value of 60 in the data was misrecorded as 75. If you were to recalculate the variance and standard deviation with the 75
instead of the 60, your new values for the variance and standard deviation would be
Transcribed Image Text:Consider a data set containing the following values: 60 93 84 80 95 99 78 90 The mean of the preceding values is 84.875. The deviations from the mean have been calculated as follows: -24.875 8.125 -0.875 -4.875 10.125 14.125 -6.875 5.125 If this is sample data, the sample variance is and the sample standard deviation is If this is population data, the population variance is and the population standard deviation is Suppose the smallest value of 60 in the data was misrecorded as 75. If you were to recalculate the variance and standard deviation with the 75 instead of the 60, your new values for the variance and standard deviation would be
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Follow-up Question
Consider a data set containing the following values:
92 84 85 93 95 89 86 91
 
The mean of the preceding values is 89.375. The deviations from the mean have been calculated as follows:
2.625 –5.375 –4.375 3.625 5.625 –0.375 –3.375 1.625
 
If this is sample data, the sample variance is     and the sample standard deviation is    .
 
If this is population data, the population variance is     and the population standard deviation is    .
 
Suppose the largest value of 95 in the data was misrecorded as 93. If you were to recalculate the variance and standard deviation with the 93 instead of the 95, your new values for the variance and standard deviation would be    .
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