SMA

Jangkauan semi interkuartil

Jangkauan semi interkuartil data 4 comma space 7 comma space minus 3 comma space 2 comma space 6 comma space minus 5 comma space 9 comma space 8 adalah ….

A. 2   

B. 2 comma 5

C. 3

D. 3 comma 5

E. 4

Pembahasan

Jangkauan semi interkuartil atau simpangan kuartil adalah setengah kali panjang hamparan yang dirumuskan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript d end cell equals cell 1 half H end cell row blank equals cell 1 half open parentheses Q subscript 3 minus Q subscript 1 close parentheses end cell end table

Diketahui data: 4 comma space 7 comma space minus 3 comma space 2 comma space 6 comma space minus 5 comma space 9 comma space 8

Data terurut: negative 5 comma space minus 3 comma space 2 comma space 4 comma space 6 comma space 7 comma space 8 comma space 9

Kuartil pertama dan kuartil ketiga dapat ditentukan sebagai berikut.

negative 5 comma space minus 3 comma space downwards arrow space 2 comma space 4 comma space downwards arrow space 6 comma space 7 comma space downwards arrow space 8 comma space 9 space space space space space space space space space space space space space space space Q subscript 1 space space space space space space space space Q subscript 2 space space space space space space space Q subscript 3

Kuartil pertama:

table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript 1 end cell equals cell 1 half open parentheses negative 3 plus 2 close parentheses end cell row blank equals cell 1 half open parentheses negative 1 close parentheses end cell row blank equals cell negative 0 comma 5 end cell end table

Kuartil ketiga:

table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript 3 end cell equals cell 1 half open parentheses 7 plus 8 close parentheses end cell row blank equals cell 1 half open parentheses 15 close parentheses end cell row blank equals cell 7 comma 5 end cell end table

Jangkauan semi interkuartil:

table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript d end cell equals cell 1 half open parentheses 7 comma 5 minus open parentheses negative 0 comma 5 close parentheses close parentheses end cell row blank equals cell 1 half open parentheses 8 close parentheses end cell row blank equals 4 end table

Oleh karena itu, jawaban yang benar adalah E.

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