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The standard deviation of 2, 4, 6, 8 and 10 is $22$ . What is the standard deviation of 15, 19, 23, 27 and 31?

Competition practiceStatistics

A $22$
B8
C $22 + 11$
D $42$

Step-by-Step Solution

Each new value is

2 x + 11

. Adding 11 does not change the SD; doubling doubles it:

2 \times 22 = 42

.

Answer: D)

42

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