6-1. No, usually not. For example if the sample is {2, 3} the mean is 2.5 which is not an observation in the sample.

6-3. No, usually not. For example, the mean of {1, 4, 4} is 3 which is not even an observation in the sample.

6-5. Yes. For example, {5, 5, 5, 5, 5, 5, 5}, the sample mean = 5, sample standard deviation = 0

6-7. Sample average:

Sample variance:

Sample standard deviation:

The sample standard deviation could also be found using

Dot Diagram:

There appears to be a possible outlier in the data set.

6-9. Sample average:

Sample variance:

Sample standard deviation:

The sample standard deviation could also be found using

where

Dot ...

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