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Data:  Carilah modus, median, mean, kuartil 1, dan kuartil 3!

Pertanyaan

Data: begin mathsize 14px style 2 comma space 4 comma space 4 comma space 4 comma space 6 comma space 6 comma space 6 comma space 7 end style

Carilah modus, median, mean, kuartil 1, dan kuartil 3!

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Pembahasan Soal:

Diketahui data: begin mathsize 14px style 2 comma space 4 comma space 4 comma space 4 comma space 6 comma space 6 comma space 6 comma space 7 end style

Perhatikan perhitungan berikut ini.

a. Mean (rata-rata)

begin mathsize 14px style x with bar on top equals fraction numerator 2 plus 4 plus 4 plus 4 plus 6 plus 6 plus 6 plus 7 over denominator 8 end fraction equals 39 over 8 equals 4 comma 875 end style

b. Median

Karena banyak data genap maka, rumus median:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell M e end cell equals cell 1 half open parentheses x subscript n over 2 end subscript plus x subscript n over 2 plus 1 end subscript close parentheses end cell row blank equals cell 1 half open parentheses x subscript 8 over 2 end subscript plus x subscript 8 over 2 plus 1 end subscript close parentheses end cell row blank equals cell 1 half open parentheses x subscript 4 plus x subscript 4 plus 1 end subscript close parentheses end cell row blank equals cell 1 half left parenthesis x subscript 4 plus x subscript 5 right parenthesis end cell row blank equals cell 1 half left parenthesis 4 plus 6 right parenthesis end cell row blank equals cell 1 half left parenthesis 10 right parenthesis end cell row blank equals 5 row blank blank blank row blank blank blank end table end style

c. Modus

Modus pada data tunggal merupakan nilai data yang paling sering muncul yaitu begin mathsize 14px style 4 end style dan undefined.

d. Kuartil 1 atau Kuartil Bawah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript 1 end cell equals cell x subscript 1 fourth open parentheses n plus 2 close parentheses end subscript end cell row blank equals cell x subscript 1 fourth open parentheses 8 plus 2 close parentheses end subscript end cell row blank equals cell x subscript 1 fourth open parentheses 10 close parentheses end subscript end cell row blank equals cell x subscript 2 comma 5 end subscript end cell row blank equals cell 1 half open parentheses x subscript 2 plus x subscript 3 close parentheses end cell row blank equals cell 1 half open parentheses 4 plus 4 close parentheses end cell row blank equals 4 row blank blank blank end table end style

e. Kuartil 3 atau Kuartil Atas

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript 1 end cell equals cell x subscript 3 over 4 open parentheses n plus 2 close parentheses minus 1 end subscript end cell row blank equals cell x subscript 3 over 4 left parenthesis 8 plus 2 right parenthesis minus 1 end subscript end cell row blank equals cell x subscript 3 over 4 left parenthesis 10 right parenthesis minus 1 end subscript end cell row blank equals cell x subscript 7 comma 5 minus 1 end subscript end cell row blank equals cell x subscript 6 comma 5 end subscript end cell row blank equals cell 1 half left parenthesis x subscript 6 plus x subscript 7 right parenthesis end cell row blank equals cell 1 half left parenthesis 6 plus 6 right parenthesis end cell row blank equals 6 row blank blank blank end table end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Februari 2021

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