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6. Calculating standard deviation and variance using the computational formula Consider a data set containing the following values: 70 65 71 78 85 68 56 75 The mean of the given values is 71. The squares of the scores have been calculated as follows: 4,900 4,225 5,041 6,084 7,225 4,624 3,136 5,625 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 .

          6. Calculating standard deviation and variance using the computational formula

Consider a data set containing the following values:

70 65 71 78 85 68 56 75

The mean of the given values is 71. The squares of the scores have been calculated as follows:

4,900 4,225 5,041 6,084 7,225 4,624 3,136 5,625

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 .

6. Calculating standard deviation and variance using the computational formula

Consider a data set containing the following values:

70 65 71 78 85 68 56 75

The mean of the given values is 71. The squares of the scores have been calculated as follows:

4,900 4,225 5,041 6,084 7,225 4,624 3,136 5,625

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 .

Added by Cynthia L.

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