Roboguru

Tentukan quartil  di bawah ini!

Pertanyaan

Tentukan quartil Q subscript 1 comma space Q subscript 2 comma space Q subscript 3 di bawah ini!

15 comma space 20 comma space 25 comma space 30 comma space 24 comma space 32 comma space 18 comma space 17 comma space 22 comma space 30 comma space 20

Pembahasan Soal:

Karena data belum urut, maka perlu mengurutkannya terlebih dahulu. Banyaknya data yaitu n equals 11.

15 comma space 17 comma space 18 comma space 20 comma space 20 comma space 22 comma space 24 comma space 25 comma space 30 comma space 30 comma space 32

Quartil bawah:

table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript 1 end cell equals cell x subscript 1 fourth left parenthesis n plus 1 right parenthesis end subscript end cell row blank equals cell x subscript 1 fourth left parenthesis 11 plus 1 right parenthesis end subscript end cell row blank equals cell x subscript 1 fourth left parenthesis 12 right parenthesis end subscript end cell row blank equals cell x subscript 3 end cell row blank equals 18 end table

Quartil tengah:

table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript 2 end cell equals cell x subscript 1 half left parenthesis n plus 1 right parenthesis end subscript end cell row blank equals cell x subscript 1 half left parenthesis 11 plus 1 right parenthesis end subscript end cell row blank equals cell x subscript 1 half left parenthesis 12 right parenthesis end subscript end cell row blank equals cell x subscript 6 end cell row blank equals 22 end table

Quartil atas:

table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript 3 end cell equals cell x subscript 3 over 4 left parenthesis n plus 1 right parenthesis end subscript end cell row blank equals cell x subscript 3 over 4 left parenthesis 11 plus 1 right parenthesis end subscript end cell row blank equals cell x subscript 3 over 4 left parenthesis 12 right parenthesis end subscript end cell row blank equals cell x subscript 9 end cell row blank equals 30 end table

Dengan demikian, quartil dari data tersebut adalah Q subscript 1 equals 18 comma space Q subscript 2 equals 22 comma space d a n space Q subscript 3 equals 30.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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