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3.2, 4.5, 1.3, 4.5, 4.5, 3.7, 4.8, 5.6,5.3 1) Evaluate the order statistics xi,

ID: 2913457 • Letter: 3

Question

3.2, 4.5, 1.3, 4.5, 4.5, 3.7, 4.8, 5.6,5.3    1) Evaluate the order statistics xi, 1 less than orequal to xi less than or equal to 9 2) Find the sample median of these data 3) Find the sum of the absolute values of the errors of thedata about the sample median 4) Find the sum of the absolute values of the errors of thedata about the number c=5.1 5) Find the sum of the absolute values of the errors of thedata about the number c=3.6 3.2, 4.5, 1.3, 4.5, 4.5, 3.7, 4.8, 5.6,5.3    1) Evaluate the order statistics xi, 1 less than orequal to xi less than or equal to 9 2) Find the sample median of these data 3) Find the sum of the absolute values of the errors of thedata about the sample median 4) Find the sum of the absolute values of the errors of thedata about the number c=5.1 5) Find the sum of the absolute values of the errors of thedata about the number c=3.6

Explanation / Answer

Order statistics 1.3, 3.2, 3.7, 4.5, 4.5, 4.5, 4.8, 5.3, 5.6 Here number of observation are 9 that is odd Meadian is the exact middle item in the arranged data Sample median =5 th item in the arranged data                         =4.5 3)Sum of the absolute values of the errors of the data aboutthe sample medians      = sum of |Xi-4.5|      =1.3+0+3.2+0+0+0.8+0.3+1.1+0.8      =7.5 4)Sum of the absolute values of the errors of the data aboutthe number c=5.1    =sum |Xi-5.1|    =1.9+.6+3.8+0.6+0.6+1.4+0.3+0.5+0.2    =9.9 5)Sum of the absolute values of the errors of the data aboutthe number c=3.6     =Sum of |Xi - 3.6 |     = 0.4+0.9+2.3+0.9+0.9+0.1+1.2+2+1.7     =10.4
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