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this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. nsider the data set 12, 14, 10, 4, 14. A USE SALT (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to four decimal places.) S = (b) Multiply each data value by 8 to obtain the new data set 96, 112, 80, 32, 112. Compute s. (Round your answer to four decimal places.) S = (c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c? O Multiplying each data value by the same constant c results in the standard deviation remaining the same. O Multiplying each data value by the same constant c results in the standard deviation increasing by c units. O Multiplying each data value by the same constant c results in the standard deviation being Ic| times smaller. O Multiplying each data value by the same constant c results in the standard deviation being Ic| times as large.

this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. nsider the data set 12, 14, 10, 4, 14. A USE SALT (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to four decimal places.) S = (b) Multiply each data value by 8 to obtain the new data set 96, 112, 80, 32, 112. Compute s. (Round your answer to four decimal places.) S = (c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c? O Multiplying each data value by the same constant c results in the standard deviation remaining the same. O Multiplying each data value by the same constant c results in the standard deviation increasing by c units. O Multiplying each data value by the same constant c results in the standard deviation being Ic| times smaller. O Multiplying each data value by the same constant c results in the standard deviation being Ic| times as large.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 12, 14, 10, 4, 14. In USE SALT (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to four decimal places.) S = (b) Multiply each data value by 8 to obtain the new data set 96, 112, 80, 32, 112. Compute s. (Round your answer to four decimal places.) S = (c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c? O Multiplying each data value by the same constant c results in the standard deviation remaining the same. Multiplying each data value by the same constant c results in the standard deviation increasing by c units. Multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. O Multiplying each data value by the same constant c results in the standard deviation being |c| times as large. (d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.4 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calculations? Yes No Given 1 mile z 1.6 kilometers, what is the standard deviation in kilometers? (Enter your answer to two decimal places.) S = km Need Help? Read It Watch It
Transcribed Image Text: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 12, 14, 10, 4, 14. In USE SALT (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to four decimal places.) S = (b) Multiply each data value by 8 to obtain the new data set 96, 112, 80, 32, 112. Compute s. (Round your answer to four decimal places.) S = (c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c? O Multiplying each data value by the same constant c results in the standard deviation remaining the same. Multiplying each data value by the same constant c results in the standard deviation increasing by c units. Multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. O Multiplying each data value by the same constant c results in the standard deviation being |c| times as large. (d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.4 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calculations? Yes No Given 1 mile z 1.6 kilometers, what is the standard deviation in kilometers? (Enter your answer to two decimal places.) S = km Need Help? Read It Watch It
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