13 points Previous Answers My Notes O Ask Yo In this problem, we expliore the ef

Question

13 points Previous Answers My Notes O Ask Yo In this problem, we expliore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. 8, 10, 14, 6,12 (e) Use the defining formule, the computation formula, or a calculator to compute s. (Enter your answer to one decimal place.) (b) Add 4 to each data value to get the new data set 12, 14, 18, 10, 16. Compute s. (Enter your answer to one decimal place.) ) Compare the results of parts (a) and (b). In general, how do you think the standard deviation of a data set changes if the same constant is added to each data value? Adding the same constant c to each data value results in the standard deviation remaining the same. Adding the same constant c to each data value results in the standard deviation increasing by c units Adding the same constant c to each data value results in the standard deviation decreasing by c units. There is no distinct pattern when the same constant is added to each data value in a set.

Explanation / Answer

a)

from above std deviation =3.2

b) similarly std deviation =3.2

c) correct option is chosen

S.No X (X-)2 1 8 4.0000 2 10 0.0000 3 14 16.0000 4 6 16.0000 5 12 4.0000 x 50 40.0000 xbar=x/n 10.000 s2=(x-xbar)2/(n-1)= 10.0000 s1=s12                            = 3.1623

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