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

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O CP - Pre
Exam 1
E Standar
3.2 Hm
My Que x
Inbox (
= essay d
Week o
Univers
* Chemp
e webassign.net
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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Transcribed Image Text:O CP - Pre Exam 1 E Standar 3.2 Hm My Que x Inbox ( = essay d Week o Univers * Chemp e webassign.net 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 Need Help? Read It Viewing Saved Work Revert to Last Response 3:38 PM O type here to search O Ei A D G . ENG 3/15/2021 99+
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