Which data set has the same standard deviation as the data set 3,2,5,6,8
a) 4,3,6,7,9
b) 1,3,4,7,9
c) 1,2,1,2,1
d) 4,4,5,5,5

a) 4,3,6,7,9

Step-by-step explanation:

The value of standard deviation does not get affected if we add constant number in every observation.

In the given data set if we add 1 in every observation then we will get same value as given in option (a).

Thus, the standard deviation of both the observation is same.

Also, we didn't get other options by addition and subtraction of any constant value.

Further, Standard Deviation is used to measure spread of the data and it is defined as square of the distance between the observation and mean of the distribution.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

no because after the troops were pulled many blacks were killed by hangings lynchings and other cruel ways which in a way interrupted the reconstruction of the south and differed from the way abraham lincoln had an idea of reconstruction