Suppose that a nonzero constant b is added to every value of a generic sample dataset 1 2 3 { , , , , }n x x x x , to produce a new dataset 1 2 3 { , , , , } n x b x b x b x b . Provide a formal mathematical (i. e., algebraic) proof for what happens to the mean, variance, and standard deviation. (Hint: Think of the dotplot for informal motivation.)

Step-by-step explanation:

Suppose there is the addition of a constant "b" to each generic dataset, then, new mean = old mean + b. This will affect the variance and the standard deviation of the resulting dataset to remain the same:

From the information given:

Proof:

If c is added to each data set:

Then,

also;

can you give me more detail on this! ?

step-by-step explanation:

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap