Consider the data set: 2, 3, 4, 8, 9 (a) Find the range. (b) Use the defining formula to compute the sample standard deviation s . (Round your answer to two decimal places.) (c) Use the defining...


Consider the data set: 2, 3, 4, 8, 9


(a) Find the range.
(b) Use the defining formula to compute the sample standard deviation
s. (Round your answer to two decimal places.)
(c) Use the defining formula to compute the population standard deviation ?. (Round your answer to two decimal places.)

2. 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: 16,12,6,8,14

(a)Use the defining formula, the computation formula, or a calculator to compute
s.


(b) Add 4 to each data value to get the new data set 20, 16, 10, 12, 18. Compute
s.


(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 constantc to each data value results in the standard deviation remaining the same.

Adding the same constantc to each data value results in the standard deviation increasing byc units.

 Adding the same constantc to each data value results in the standard deviation decreasing byc units.

There is no distinct pattern when the same constant is added to each data value in a set.







Jun 04, 2022
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