Each of the following data sets has a mean of x = 10. (1) 89 10 11 12 (i) 79 10 11 13 (i) 7 8 10 12 13 A USE SALT (a) Without doing any computations, order the data sets according to increasing value of standard deviations. O (), (ii), (i) O (1), (1), (ii) O (i), (1), (1) O (i), (1), (1) O (1), (), (iii) O (1), (ii), (1) (b) Why do you expect the difference in standard deviations between data sets (1) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (i)? Hint: Consider how much the data in the respective sets differ from the mean. O The data change between data sets (i) and (ii) increased the squared difference E(x - x)2 by more than data sets (ii) and (ii). O The data change between data sets (ii) and (ii) increased the squared difference E(x - x)2 by more than data sets (i) and (ii). O The data change between data sets (i) and (ii) decreased the squared difference E(x - x)2 by more than data sets (ii) and (ii). O none of the above
Each of the following data sets has a mean of x = 10. (1) 89 10 11 12 (i) 79 10 11 13 (i) 7 8 10 12 13 A USE SALT (a) Without doing any computations, order the data sets according to increasing value of standard deviations. O (), (ii), (i) O (1), (1), (ii) O (i), (1), (1) O (i), (1), (1) O (1), (), (iii) O (1), (ii), (1) (b) Why do you expect the difference in standard deviations between data sets (1) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (i)? Hint: Consider how much the data in the respective sets differ from the mean. O The data change between data sets (i) and (ii) increased the squared difference E(x - x)2 by more than data sets (ii) and (ii). O The data change between data sets (ii) and (ii) increased the squared difference E(x - x)2 by more than data sets (i) and (ii). O The data change between data sets (i) and (ii) decreased the squared difference E(x - x)2 by more than data sets (ii) and (ii). O none of the above
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Each of the following data sets has a mean of x = 10.
(1) 89 10 11 12 (ii) 79 10 11 13 (ii) 78 10 12 13
L USE SALT
(a) Without doing any computations, order the data sets according to increasing value of standard deviations.
O (), (ii), (i)
O (11), (1), (i)
O (ii), (1), ()
O (i), (i), (1)
O (1), (ii), (iii)
DA
O (1i), (i), (1)
(b) Why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)?
Hint: Consider how much the data in the respective sets differ from the mean.
O The data change between data sets (i) and (ii) increased the squared difference E(x - x)2 by more than data sets (ii) and (ii).
O The data change between data sets (ii) and (iii) increased the squared difference E(x - x)2 by more than data sets (i) and (ii).
O The data change between data sets (i) and () decreased the squared difference E(x - x)2 by more than data sets (ii) and (ii).
O none of the above
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