3. Calculating standard deviation and variance using the definitional formula Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The deviations from the mean have been calculated as follows: -0.75 -5.75 0.25 7.25 18.25 -2.75 -20.75 4.25 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 89 in the data was misrecorded as 80. If you were to recalculate the variance and standard deviation with the 80 instead of the 89, your new values for the variance and standard deviation would be