Question: Each of two samples has a standard deviation of 5. If the two sets of data are made into one set of 10 data values,

Each of two samples has a standard deviation of 5. If the two sets of data are made into one set of 10 data values, will the new sample have a standard deviation that is less than, about the same as, or greater than the original standard deviation of 5? Make up two sets of five data values, each with a standard deviation of 5, to justify your answer. Include the calculations.

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