Question

In this problem, we explore 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, 7, 7, 17, 10

(a) Use the defining formula, the computation formula, or a
calculator to compute *s*. (Enter your answer to one decimal
place.)

(b) Add 6 to each data value to get the new data set 14, 13, 13,
23, 16. Compute *s*. (Enter your answer to one decimal
place.)

(c) 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.

Answer #1

In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set. 13, 11, 8, 17, 15 (a) Use the
defining formula, the computation formula, or a calculator to
compute s. (Enter your answer to one decimal place.)
(b) Add 7 to each data value to get the new data set 20, 18, 15,
24, 22. Compute s. (Enter your answer to one...

In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set.
5, 4, 14, 7, 12
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Enter your answer to one decimal
place.)
(b) Add 6 to each data value to get the new data set 11, 10, 20,
13, 18. Compute s. (Enter your answer to one...

In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set.
7, 13, 12, 10, 10
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Enter your answer to one decimal
place.)
(b) Add 8 to each data value to get the new data set 15, 21, 20,
18, 18. Compute s. (Enter your answer to one...

In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set.
17, 9, 12, 7, 15
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Enter your answer to one decimal
place.)
(b) Add 5 to each data value to get the new data set 22, 14, 17,
12, 20. Compute s. (Enter your answer to one...

In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set.
11, 14, 16, 10, 15
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Enter your answer to one decimal
place.)
(b) Add 6 to each data value to get the new data set 17, 20, 22,
16, 21. Compute s. (Enter your answer to one...

In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set. 15, 9, 7, 17, 11 (a) Use the
defining formula, the computation formula, or a calculator to
compute s. (Enter your answer to one decimal place.) (b) Add 2 to
each data value to get the new data set 17, 11, 9, 19, 13. Compute
s. (Enter your answer to one...

In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
(a) Consider the following data set. 8, 13, 14, 9, 9, and
compute s.
(b) Add 4 to each data value to get the new data set 12, 17, 18,
13, 13. Compute s.
Compare the results of parts (a) and (b). In general, how do you
think the standard deviation of a data set changes...

In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set. 11, 14, 16, 10, 15 (a) Use the
defining formula, the computation formula, or a calculator to
compute s. (Enter your answer to one decimal place.) (b) Add 6 to
each data value to get the new data set 17, 20, 22, 16, 21. Compute
s. (Enter your answer to one...

In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set. 5, 7, 5, 6, 13 (a) Use the
defining formula, 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 9, 11, 9, 10, 17. Compute
s. (Enter your answer to one...

In this problem, we explore the effect on the standard deviation
of multiplying each data value in a data set by the same constant.
Consider the data set 7, 12, 13, 8, 17.
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Round your answer to one decimal
place.)
s =
(b) Multiply each data value by 3 to obtain the new data set 21,
36, 39, 24, 51. Compute s. (Round your answer to...

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