Calculating standard deviation and variance using the computational formula
Consider a data set containing the following values:
90 98 77 84 95 100 94 90
The mean of the given values is 91. The squares of the scores have been calculated as follows:
8,100 9,604 5,929 7,056 9,025 10,000 8,836 8,100
If the preceding scores are sample data, the sum of squares (SS) is _____. (Hint: Remember that the phrase "sum of squares" or SS refers to the sum of squared deviations.)
If the preceding scores are population data, the SS is _____.
If the preceding scores are sample data, the sample standard deviation is _____ and the sample variance is _____.
If the preceding scores are population data, the population standard deviation is _____ and the population variance is _____.