Pertanyaan

Jika nilai Q 1 ​ dari data terurut 4 p − 2 , 4 p + 4 ,40, 42, 5 p + 5 , 6 p adalah 34 , 5 , tentukan nilai Q 3 ​ .

Jika nilai  dari data terurut , , 40, 42, ,  adalah , tentukan nilai .

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R. Septa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Data terurut: Banyak data n = 6 Sehingga data tersebut adalah 30, 36, 40, 42, 45, 48

Data terurut: begin mathsize 14px style 4 p minus 2 comma space 4 p plus 4 comma space 40 comma space 42 comma space 5 p plus 5 comma space 6 p end style

Banyak data n = 6

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Letak space straight Q subscript 1 end cell equals cell data space ke short dash 1 fourth left parenthesis straight n plus 1 right parenthesis end cell row blank equals cell data space ke short dash 1 fourth left parenthesis 6 plus 1 right parenthesis end cell row blank equals cell data space ke short dash 1 fourth cross times 7 end cell row blank equals cell data space ke short dash 1 3 over 4 end cell end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight Q subscript 1 end cell equals cell straight x subscript 1 plus 3 over 4 left parenthesis straight x subscript 2 minus straight x subscript 1 right parenthesis end cell row cell 34 comma 5 end cell equals cell 4 p minus 2 plus 3 over 4 left parenthesis left parenthesis 4 p plus 4 right parenthesis minus left parenthesis 4 p minus 2 right parenthesis right parenthesis end cell row cell 34 comma 5 end cell equals cell 4 p minus 2 plus 3 over 4 cross times 6 end cell row cell 34 comma 5 end cell equals cell 4 p minus 2 plus 4 comma 5 end cell row cell 34 comma 5 end cell equals cell 4 p plus 2 comma 5 end cell row 32 equals cell 4 p end cell row p equals 8 end table end style

Sehingga data tersebut adalah 30, 36, 40, 42, 45, 48

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Letak space straight Q subscript 3 end cell equals cell data space ke short dash 3 over 4 left parenthesis straight n plus 1 right parenthesis end cell row blank equals cell data space ke short dash 3 over 4 left parenthesis 6 plus 1 right parenthesis end cell row blank equals cell data space ke short dash 3 over 4 cross times 7 end cell row blank equals cell data space ke short dash 5 1 fourth end cell end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight Q subscript 3 end cell equals cell straight x subscript 5 plus 1 fourth left parenthesis straight x subscript 6 minus straight x subscript 5 right parenthesis end cell row blank equals cell 45 plus 1 fourth left parenthesis 48 minus 45 right parenthesis end cell row blank equals cell 45 plus 3 over 4 end cell row blank equals cell 45 comma 75 end cell end table end style 

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