Suppose you add 2 days to each datum in the duration of hospital stay. a. What is the effect on the median? b. What is the effect on the mode? c. What is the effect on the mean? d. What is the effect on the sample standard deviation?

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
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Suppose you add 2 days to each datum in the duration of hospital stay.

a. What is the effect on the median?

b. What is the effect on the mode?

c. What is the effect on the mean?

d. What is the effect on the sample standard deviation?

First
WBC
Received
Duration
First
Received
bacterial
Sex
(x 10)
following
admission
of
antibiotic?
Service
1 = M
2 = F
temp.
following
admission
culture?
1 = yes
2 = no
1 = med.
2 = surg-
ID
hospital
stay
1- yes
2 = no
no.
Age
1
5
30
99.0
8
2
1
10
73
98.0
5
1
1
3
6
40
2
99.0
12
2
11
47
2
98.2
2
2
25
2
98.5
11
2
2
6.
14
82
96.8
6.
1
2
2
7
30
60
99.5
1
1
1
8
11
56
2
98.6
7
2
2
1
9
17
43
2
98.0
7
2
2
1
10
3
50
98.0
12
2
1
11
9
59
97.6
7
2
1
1
12
3
4
97.8
3
2
13
8
22
2
99.5
11
1
2
14
8
33
2
98.4
14
1
1
2
15
5
20
2
98.4
11
1
16
5
32
1
99.0
2
17
7
36
1
99.2
1
2
2
18
4
69
1
98.0
6.
2
2
19
3
47
1
97.0
1
2
1
20
7
22
1
98.2
2
2
21
9
11
1
98.2
10
2
22
11
19
1
98.6
14
1
2
2
23
11
67
2
97.6
4
2
1
24
9
43
2
98.6
2
2
25
4
41
2
98.0
2
2
1
Transcribed Image Text:First WBC Received Duration First Received bacterial Sex (x 10) following admission of antibiotic? Service 1 = M 2 = F temp. following admission culture? 1 = yes 2 = no 1 = med. 2 = surg- ID hospital stay 1- yes 2 = no no. Age 1 5 30 99.0 8 2 1 10 73 98.0 5 1 1 3 6 40 2 99.0 12 2 11 47 2 98.2 2 2 25 2 98.5 11 2 2 6. 14 82 96.8 6. 1 2 2 7 30 60 99.5 1 1 1 8 11 56 2 98.6 7 2 2 1 9 17 43 2 98.0 7 2 2 1 10 3 50 98.0 12 2 1 11 9 59 97.6 7 2 1 1 12 3 4 97.8 3 2 13 8 22 2 99.5 11 1 2 14 8 33 2 98.4 14 1 1 2 15 5 20 2 98.4 11 1 16 5 32 1 99.0 2 17 7 36 1 99.2 1 2 2 18 4 69 1 98.0 6. 2 2 19 3 47 1 97.0 1 2 1 20 7 22 1 98.2 2 2 21 9 11 1 98.2 10 2 22 11 19 1 98.6 14 1 2 2 23 11 67 2 97.6 4 2 1 24 9 43 2 98.6 2 2 25 4 41 2 98.0 2 2 1
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