A certain list of 100 data has a mean of 6 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 102 data with a standard deviation of less than d?
A) -6 and 0
B) 0 and 0
C) 0 and 6
D) 0 and 12
E) 6 and 6
A) -6 and 0
B) 0 and 0
C) 0 and 6
D) 0 and 12
E) 6 and 6
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