Dari data pada tabel distribusi frekuensi berikut, Tentukan:, b. Jangkauan Persentil

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PERTANYAAN :

Dari data pada tabel distribusi frekuensi berikut, Tentukan:

b. Jangkauan Persentil

Jawaban

Jangkauan Persentil (JP) adalah 36.


Rumus Jangkauan persentil (JP) adalah Persentil ke 90 dikurangi persentil ke 10.

table attributes columnalign right center left columnspacing 0px end attributes row JP equals cell straight P subscript 90 minus straight P subscript 10 end cell end table 

Pertama kita akan menentukan straight P subscript 10.

table attributes columnalign right center left columnspacing 0px end attributes row cell straight P subscript straight i end cell equals cell straight i over 100 cross times n end cell row cell straight P subscript 10 end cell equals cell 10 over 100 cross times 100 end cell row blank equals 10 end table 

Kelas straight P subscript 10 adalah kelas yang berada pada fk 10.

table attributes columnalign right center left columnspacing 0px end attributes row cell T b end cell equals cell 48 comma 5 end cell row p equals 10 row F equals 0 row f equals 10 end table

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell P subscript 10 end cell equals cell T b plus p open parentheses fraction numerator begin display style fraction numerator 10 n over denominator 100 end fraction end style minus F over denominator f end fraction close parentheses end cell row blank equals cell 48 comma 5 plus 10 open parentheses fraction numerator begin display style fraction numerator 10 times 100 over denominator 100 end fraction end style minus 0 over denominator 10 end fraction close parentheses end cell row blank equals cell 58 comma 5 end cell end table

Selanjutnya kita akan menentukan straight P subscript 90.

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table attributes columnalign right center left columnspacing 0px end attributes row cell straight P subscript straight i end cell equals cell straight i over 100 cross times n end cell row cell straight P subscript 90 end cell equals cell 90 over 100 cross times 100 end cell row blank equals 90 end table  

Kelas straight P subscript 90 adalah kelas yang berada pada fk 100.

table attributes columnalign right center left columnspacing 0px end attributes row cell T b end cell equals cell 88 comma 5 end cell row p equals 10 row F equals 75 row f equals 25 end table

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell P subscript 90 end cell equals cell T b plus p open parentheses fraction numerator begin display style fraction numerator 90 n over denominator 100 end fraction end style minus F over denominator f end fraction close parentheses end cell row blank equals cell 88 comma 5 plus 10 open parentheses fraction numerator begin display style fraction numerator 90 times 100 over denominator 100 end fraction end style minus 75 over denominator 25 end fraction close parentheses end cell row blank equals cell 88 comma 5 plus 6 end cell row blank equals cell 94 comma 5 end cell end table 

Sehingga jangkauan persentil:

table attributes columnalign right center left columnspacing 0px end attributes row JP equals cell straight P subscript 90 minus straight P subscript 10 end cell row blank equals cell 94 comma 5 minus 58 comma 5 end cell row blank equals 36 end table

Oleh karena itu, Jangkauan Persentil (JP) adalah 36.


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Baca Juga :  There once was a fisherman who lived with his wife in a small hut close by the seaside. The fisherman used to go fishing every day. One day, as he sat in his boat with his rod,looking at the sparkling waves and watching his line, all of a sudden his float was dragged away deep into the water. He quickly started to reel in his line and managed to pull out a huge fish. , Much to his surprise, the fish started to talk and said, , The astonished fisherman quickly threw him back, exclaiming,, When the fisherman went home to his wife, he told her everything that had happened and how, on hearing it speak, he had let it go again. "Didn\t you ask it for anything?" said the wife. "No, I didn\t, what should I have asked for?" replied the fisherman., , , said his wife., " The fisherman wasnt sure about this but he still went to the seashore, sat in his boat, went to the middle of the sea and said:", , The fish immediately came swimming to him, and said, , said the fisherman, , said the fish, , So the fisherman went home, and saw his wife standing at the door of a nice trim little cottage. , "Everything went fine for a while, and then one day the fishermans wife said, ", said the fisherman, , said the wife; , With a heavy heart the fisherman went to the middle of the sea and said:, , said the fish. , said the fisherman, , said the fish; , So he went home and he saw his wife sitting on a very lofty throne made of solid gold, with a great crown on her head full two yards high. And on each side of her stood her guards and attendants in a row. The fisherman went up to her and said, , said she, , said the man, as he gazed upon her, , said she, , They were happy for a while., Then a time came when she was not able to sleep all night for she was thinking what she should ask next. At last, as she was about to fall asleep, morning broke, and the sun rose. , At this thought she was very angry, and wakened her husband, and said, , The fisherman was half asleep, but the thought frightened him so much that he fell out of the bed. , said he, , said she, , "said the fisherman but his wife wouldnt listen to him. ", she said., Then the man went shivering with fear. As he was going down to the shore a dreadful storm arose. The trees and the very rocks shook and the sky became black with stormy clouds. There were great black waves, swelling up like mountains with crowns of white foam upon their heads. Unfortunately, the fisherman did not have any choice, so he got onto his boat and rowed to the middle of the sea and cried out as loud as he could:, , said the fish. , said the fish, , And it is said that they live there to this very day., (Adopted from Grimm Brothers, 1812. , )

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