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  3. The numbers in data set S have a standard deviation of If a new data set is form

The numbers in data set S have a standard deviation of If a new data set is form

游客2024-01-12  62
问题 The numbers in data set S have a standard deviation of If a new data set is formed by adding 3 to each number in S, what is the standard deviation of the numbers in the new data set?
选项 A、2
B、3
C、5
D、8
E、15
答案 C
解析 Recall that the standard deviation of the numbers in a data set is a measure of the spread of the numbers about the mean of the numbers. The new data set is formed by adding the same number, 3, to each number in data set S. Thus, the mean of the numbers in the new data set is 3 more than the mean of the numbers in S, but the spread of the numbers in the new data set about the mean of the numbers in the new data set is the same as the spread of the numbers in S about the mean of the numbers in S. Because the standard deviation of the numbers in S is 5, the standard deviation of the numbers in the new data set is also 5. The correct answer is Choice C.
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