Ten people participated in the first round of a competition, after which their scores were analyzed to determine which people would compete in the second round. The table shows the participants’ first-round scores, the difference between each participant’s score and the average (arithmetic mean) score of all participants, and the square of that difference.

Before the second round of competition, one or more of the listed participants were disqualified. A new mean and new standard deviation will be calculated from only those players who were not disqualified.

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For each of the following statements, select True if the statement is true based on the information provided. Otherwise, select False.


Ture False
The disqualification of Sauer would decrease the standard deviation more than any other single disqualification.
The disqualification of Lasek would decrease the standard deviation more than any other single disqualification.
If Fournier and Sauer were both disqualified and no other changes were made, the standard deviation would decrease.
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