Consider a data set containing the following values.


88 96 72 84 95 100 92 90


The mean of the preceding values is 89. 625. The deviations from the mean have been calculated as follows:

-1. 625 6. 375 -17. 625 -5. 625 5. 375 10. 375 2. 375 0. 375


Required:

a. If this is sample data, the sample variance is ?? and the sample standard deviation is??

b. If this is population data, the population variance is?? and the population standard deviation is??

c. Suppose the largest value of 106 in the data was misrecorded as 100. If you were to recalculate the variance and standard deviation with the 100 instead of the 106, your new values for the variance and standard deviation would be?