Hi so i fixed my data and now i need to identify outliers and i am very confused thanks Before Change After Change Year Mass Year Mass 1971 3.1439 1990 2.4822 1979 3.1024 1994 2.5055 1975 3.0668 2006 2.5914 1982 3.0776 1991 2.4852 1974 3.1034 1998 2.5201 1980 3.0917 2001 2.4873 1977 3.1057 1989 2.532 1982 3.0761 2000 2.4921 1975 3.093 1993 2.5005 1981 3.1011 1968 3.0943 1976 3.1 2000 2.5061 1978 3.0798 2008 2.489 1974 3.0307 1987 2.5068 1981 3.0939 2010 2.4836 1972 3.0513 1999 2.5458 1976 3.0947 2007 2.5015 1976 3.0985 1987 2.5143 1962 3.0758 1995 2.4947 1975 3.1024 1992 2.4737 1982 3.0568 1993 2.4898 1973 3.0873 1998 2.4951 1964 3.1936 1991 2.4756 1980 3.1235 1995 2.5061 1974 3.0576 1994 2.4949 1974 3.0052 2007 2.514 1971 3.1549 1996 2.4905 1979 3.9652 2001 2.5073 1967 3.1254 2002 2.4976 1982 3.0805 2006 2.5118 1980 3.0857 1996 2.5159 1976 3.103 1994 2.4941 1977 3.0167 1990 2.4832 1977 3.0524 2007 2.4744 2007 2.4804 2001 2.5391 1980 3.0076 1995 2.5061 2004 2.5043 1989 2.5135 1999 2.5202 2005 2.528 2009 2.4992 1995 2.4895 1993 2.4833 1987 2.4777 1983 2.4757 1990 2.4966 1992 2.5066 2004 2.529 1999 2.4958 1987 2.5137 1996 2.4924 2007 2.4956 2004 2.5306 2007 2.4772 1989 2.5218 1988 2.5234 2010 2.4983 2000 2.48 1996 2.5113 1995 2.5181 1996 2.4888

Hi so i fixed my data and now i need to identify outliers and i am very confused thanks Before Change After Change Year Mass Year Mass 1971 3.1439 1990 2.4822 1979 3.1024 1994 2.5055 1975 3.0668 2006 2.5914 1982 3.0776 1991 2.4852 1974 3.1034 1998 2.5201 1980 3.0917 2001 2.4873 1977 3.1057 1989 2.532 1982 3.0761 2000 2.4921 1975 3.093 1993 2.5005 1981 3.1011 1968 3.0943 1976 3.1 2000 2.5061 1978 3.0798 2008 2.489 1974 3.0307 1987 2.5068 1981 3.0939 2010 2.4836 1972 3.0513 1999 2.5458 1976 3.0947 2007 2.5015 1976 3.0985 1987 2.5143 1962 3.0758 1995 2.4947 1975 3.1024 1992 2.4737 1982 3.0568 1993 2.4898 1973 3.0873 1998 2.4951 1964 3.1936 1991 2.4756 1980 3.1235 1995 2.5061 1974 3.0576 1994 2.4949 1974 3.0052 2007 2.514 1971 3.1549 1996 2.4905 1979 3.9652 2001 2.5073 1967 3.1254 2002 2.4976 1982 3.0805 2006 2.5118 1980 3.0857 1996 2.5159 1976 3.103 1994 2.4941 1977 3.0167 1990 2.4832 1977 3.0524 2007 2.4744 2007 2.4804 2001 2.5391 1980 3.0076 1995 2.5061 2004 2.5043 1989 2.5135 1999 2.5202 2005 2.528 2009 2.4992 1995 2.4895 1993 2.4833 1987 2.4777 1983 2.4757 1990 2.4966 1992 2.5066 2004 2.529 1999 2.4958 1987 2.5137 1996 2.4924 2007 2.4956 2004 2.5306 2007 2.4772 1989 2.5218 1988 2.5234 2010 2.4983 2000 2.48 1996 2.5113 1995 2.5181 1996 2.4888

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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Question

Hi so i fixed my data and now i need to identify outliers and i am very confused thanks


Before Change		After Change
Year	Mass		Year	Mass
1971	3.1439		1990	2.4822
1979	3.1024		1994	2.5055
1975	3.0668		2006	2.5914
1982	3.0776		1991	2.4852
1974	3.1034		1998	2.5201
1980	3.0917		2001	2.4873
1977	3.1057		1989	2.532
1982	3.0761		2000	2.4921
1975	3.093		1993	2.5005
1981	3.1011		1968	3.0943
1976	3.1		2000	2.5061
1978	3.0798		2008	2.489
1974	3.0307		1987	2.5068
1981	3.0939		2010	2.4836
1972	3.0513		1999	2.5458
1976	3.0947		2007	2.5015
1976	3.0985		1987	2.5143
1962	3.0758		1995	2.4947
1975	3.1024		1992	2.4737
1982	3.0568		1993	2.4898
1973	3.0873		1998	2.4951
1964	3.1936		1991	2.4756
1980	3.1235		1995	2.5061
1974	3.0576		1994	2.4949
1974	3.0052		2007	2.514
1971	3.1549		1996	2.4905
1979	3.9652		2001	2.5073
1967	3.1254		2002	2.4976
1982	3.0805		2006	2.5118
1980	3.0857		1996	2.5159
1976	3.103		1994	2.4941
1977	3.0167		1990	2.4832
1977	3.0524		2007	2.4744
			2007	2.4804
			2001	2.5391
			1980	3.0076
			1995	2.5061
			2004	2.5043
			1989	2.5135
			1999	2.5202
			2005	2.528
			2009	2.4992
			1995	2.4895
			1993	2.4833
			1987	2.4777
			1983	2.4757
			1990	2.4966
			1992	2.5066
			2004	2.529
			1999	2.4958
			1987	2.5137
			1996	2.4924
			2007	2.4956
			2004	2.5306
			2007	2.4772
			1989	2.5218
			1988	2.5234
			2010	2.4983
			2000	2.48
			1996	2.5113
			1995	2.5181
			1996	2.4888

Expert Solution

Step 1

Given information:

Year	Mass
1971	3.1439
1979	3.1024
1975	3.0668
1982	3.0776
1974	3.1034
1980	3.0917
1977	3.1057
1982	3.0761
1975	3.093
1981	3.1011
1976	3.1
1978	3.0798
1974	3.0307
1981	3.0939
1972	3.0513
1976	3.0947
1976	3.0985
1962	3.0758
1975	3.1024
1982	3.0568
1973	3.0873
1964	3.1936
1980	3.1235
1974	3.0576
1974	3.0052
1971	3.1549
1979	3.9652
1967	3.1254
1982	3.0805
1980	3.0857
1976	3.103
1977	3.0167
1977	3.0524
1990	2.4822
1994	2.5055
2006	2.5914
1991	2.4852
1998	2.5201
2001	2.4873
1989	2.532
2000	2.4921
1993	2.5005
1968	3.0943
2000	2.5061
2008	2.489
1987	2.5068
2010	2.4836
1999	2.5458
2007	2.5015
1987	2.5143
1995	2.4947
1992	2.4737
1993	2.4898
1998	2.4951
1991	2.4756
1995	2.5061
1994	2.4949
2007	2.514
1996	2.4905
2001	2.5073
2002	2.4976
2006	2.5118
1996	2.5159
1994	2.4941
1990	2.4832
2007	2.4744
2007	2.4804
2001	2.5391
1980	3.0076
1995	2.5061
2004	2.5043
1989	2.5135
1999	2.5202
2005	2.528
2009	2.4992
1995	2.4895
1993	2.4833
1987	2.4777
1983	2.4757
1990	2.4966
1992	2.5066
2004	2.529
1999	2.4958
1987	2.5137
1996	2.4924
2007	2.4956
2004	2.5306
2007	2.4772
1989	2.5214
1988	2.5234
2010	2.4983
2000	2.48
1996	2.5113
1995	2.5181
1996	2.4888

Q_{1}=\frac{ \left(n+1\right)^{th}}{4}\:term=\frac{ \left(21+1\right)^{th}}{4}\:term=5.5^{th}\:term=6Q_{2}=\frac{ \left(n+1\right)^{th}}{2}\:term=\frac{ \left(21+1\right)^{th}}{2}\:term=11^{th}\:term=14Q_{3}=\frac{ 3\left(n+1\right)^{th}}{4}\:term=\frac{ 3\left(21+1\right)^{th}}{4}\:term=16.5^{th}\:term=22IQR=Q_3-Q_1=22-6=16

IQR = Q_3 - Q_1 = 57 - 40 = 17 \text{Lower fence}=Q_1-1.5\times IQR =40-1.5(17)=14.5\text{Upper fence}= Q_3+1.5\times IQR=57+1.5(17)=82.5

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