In this problem, we explore the effect on the standard deviation of adding the same constant...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
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, 16, 10, 12, 16 (a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to four decimal places) (b) Add 7 to each data value to get the new data set 15, 23, 17, 19, 23. Compute s. (Enter your answer to four decimal places) (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 cunits. 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. 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, 16, 10, 12, 16 (a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to four decimal places) (b) Add 7 to each data value to get the new data set 15, 23, 17, 19, 23. Compute s. (Enter your answer to four decimal places) (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 cunits. 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.
Expert Answer:
Related Book For
Understanding Basic Statistics
ISBN: 978-1111827021
6th edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase
Posted Date:
Students also viewed these accounting questions
-
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 data set 5, 9, 10, 11, 15. (a) Use the defining formula,...
-
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 5, 9, 10, 11, 15. (a) Use the defining...
-
Use the data given in Table to construct a frequency distribution with a first class (in millions) of 50-99. Novel Copies Sold (millions) Don Quixote . . . . . . . . . . . . . . . . . . . . . . . . ....
-
England, Inc., a furniture manufacturer in Tazewell, Tennessee, has found a competitive advantage and increasing sales through speed in delivering customer orders. England, Inc. uses precision...
-
A parallel beam of light containing two wavelengths, λ1 = 455 nm and λ2 = 642nm, enters the silicate flint glass of an equilateral prism as shown in Fig.24-59. At what...
-
Claims against governmental bodies generally cannot be brought into court unless administrative procedures are followed first. Often, a notice of claim must be filed first. Assume someone is injured...
-
Likewise, effective strategic leadership requires a thorough knowledge of the organization that youre trying to lead, including its strengths and weaknesses. What appear to be the organizational...
-
You must present a logical argument on three questions regarding the issues using what we have learned in the text, including references to cases that pertain to the issues. You next written...
-
Ramada Company produces one golf cart model. A partially complete table of company costs follows: Required: 1. Complete the table. 2. Ramada sells its carts for $1,200 each. Prepare a contribution...
-
I would like some pointers to include in a conclusion to a Project Management in Contemporary Organisations
-
Imagine you are a financial analyst tasked with conducting a variance analysis for your company. What steps would you take to identify and investigate significant discrepancies between budgeted and...
-
(vii) If A = [ }} a and B = [222] Find value of B' - 2A'.
-
In two to three lines, describe smart home assistant, its purpose, and how it solves a problem.
-
What is range of Sine and Cose functions.
-
Use the values from PRACTICE IT to help you work this exercise. ( a ) Find the angle through which the wheel rotates between t = 2 . 0 0 s and t = 3 . 6 0 s . rad ( b ) Find the angular speed when t...
-
the same 1. Suppose firm 1 and firm 2 each produce e product and face a market demand curve described by Q = 5000 - 200 P. Firm 1 has a unit cost of production c equal to 6 whereas firm 2 has a...
-
Illini Company, Inc. Balance Sheet as of 12/31/20X0 Assets Current Assets: Cash $1,500,000 Accounts receivable, net 18,000 Inventory 50,000 Total current assets 1,568,000 Equipment 90,000 Goodwill...
-
A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. Eight cups of coffee from this machine show the average content to be 7.3 ounces with a...
-
In archaeology, the depth (below surface grade) at which artifacts are found is very important. Greater depths sometimes indicate older artifacts, perhaps from a different archaeological period....
-
Suppose x has a mound-shaped distribution with = 9. A random sample of size 36 has sample mean 20. (a) Is it appropriate to use a normal distribution to compute a confidence interval for the...
-
Why are provisions a problem?
-
Who are the main users of financial accounting information, and what are their information needs?
-
Why do we not have pure historic cost accounting?
Study smarter with the SolutionInn App