. If s, r, t, u are integers, which one has the same standard deviation as s, r, t, u ?
A. |s|, |r|, |t|, |u|
B. s+1, r+1, t+1, u+1
C. 2s+s, 2r+2, 2t+2, 2u+2
d. s^2+4, r^2+4, t^+4, u^2+4
I think the question should be: Which one MUST have the same std deviation?
"C" can be ruled out because when we multiply or divide every element of a set by a constant, the standard deviation also gets multiplied/divided by the same constant.
"D": If s,r,t,u are different integers; multiplying every element with different constant i.r. multiplying r with r, s with s; will affect the std deviation.
"A": 10, 12, -10, -12: Std Dev must be greater than 10, 12, 10, 12
"B": Irrespective of the values we associate with s,r,t and u; the std deviation will not change because adding or subtracting a constant from every element of the set has no effect on its std dev.
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