MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Topic Video
Question

17. Sample Standard Deviation
a. 72,996.50
b. 12,742.53
c. 12,528.36
d. 13,256.35
e. 14,214.75

18. 60th percentile
a. 40,820.00
b. 47,807.75
c. 45,305.65
d. 42,800.40
e. 35,665.32

The chart below shows the per-capita incomes in 2015 of various countries. Country 2015 Australia 50,167 46,084 47,702 47,843 21,689 50,024 21,564 |Austria Belgium Canada Czech Republic Denmark Estonia Finland 40,731 France 41,252 44,925 25,211 Germany Greece Hungary Ireland 19,999 46,074 29,794 34,140 35,780 Israel Italy Japan Korea 33,110 Luxembourg Mexico 60,369 14,867 50,670 Netherlands |Norway 50,908 23,998 24,105 Poland Portugal Slovak Republic 22,031 Slovenia 33,085 36,325 Spain Sweden 40,909 Switzerland 58,389 41,384 |United Kingdom United States 58,714 Please note that the list of incomes can be cut and pasted into Excel's General Stat's page from uLearn. Using any technology you chose, determine the:
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Transcribed Image Text:The chart below shows the per-capita incomes in 2015 of various countries. Country 2015 Australia 50,167 46,084 47,702 47,843 21,689 50,024 21,564 |Austria Belgium Canada Czech Republic Denmark Estonia Finland 40,731 France 41,252 44,925 25,211 Germany Greece Hungary Ireland 19,999 46,074 29,794 34,140 35,780 Israel Italy Japan Korea 33,110 Luxembourg Mexico 60,369 14,867 50,670 Netherlands |Norway 50,908 23,998 24,105 Poland Portugal Slovak Republic 22,031 Slovenia 33,085 36,325 Spain Sweden 40,909 Switzerland 58,389 41,384 |United Kingdom United States 58,714 Please note that the list of incomes can be cut and pasted into Excel's General Stat's page from uLearn. Using any technology you chose, determine the:
Expert Solution
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Step 1

16. 
Here,

x x-x (x-x)2
50167 11772.23 138585399.2
46084 7689.23 59124257.99
47702 9307.23 86624530.27
47843 9448.23 89269050.13
21689 -16705.8 279082751.3
50024 11629.23 135238990.4
21564 -16830.8 283274818.8
40731 2336.23 5457970.613
41252 2857.23 8163763.273
44925 6530.23 42643903.85
25211 -13183.8 173811791.4
19999 -18395.8 338404353.9
46074 7679.23 58970573.39
29794 -8600.77 73973244.59
34140 -4254.77 18103067.75
35780 -2614.77 6837022.153
33110 -5284.77 27928793.95
60369 21974.23 482866784.1
14867 -23527.8 553555961.2
50670 12275.23 150681271.6
50908 12513.23 156580925
23998 -14396.8 207266986.4
24105 -14289.8 204197526.7
22031 -16363.8 267772968.6
33085 -5309.77 28193657.45
36325 -2069.77 4283947.853
40909 2514.23 6321352.493
58389 19994.23 399769233.3
41384 2989.23 8935495.993
58714 20319.23 412871107.8
Total         1151843   4708791501

where
x=∑xn=115184330=38394.77

 

Then, the standard deviation is
s=∑(x-x)2n-1=470879150130-1=12742.53

 

Therefore, option B is the correct answer.

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