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Pertanyaan

Simpangan baku dari data: 6, 6, 5, 4, 4 adalah ...

Simpangan baku dari data: 6, 6, 5, 4, 4 adalah ...space

  1. square root of 5

  2. 2 over 5 square root of 5

  3. 3 over 2 square root of 5

  4. 1 half square root of 2

  5. square root of 2

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B

jawaban yang tepat adalah B

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Pembahasan

Diketahui data: Maka: Maka: Sehingga: Jadi, jawaban yang tepat adalah B

Diketahui data:

6 comma space 6 comma space 5 comma space 4 comma space 4

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell top enclose x end cell equals cell fraction numerator 6 plus 6 plus 5 plus 4 plus 4 over denominator 5 end fraction end cell row blank equals cell 25 over 5 end cell row blank equals 5 end table

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row S equals cell fraction numerator begin display style sum for blank of end style left parenthesis x subscript i minus top enclose x right parenthesis squared over denominator n end fraction end cell row blank equals cell fraction numerator left parenthesis 6 minus 5 right parenthesis squared plus left parenthesis 6 minus 5 right parenthesis squared plus left parenthesis 5 minus 5 right parenthesis squared plus left parenthesis 4 minus 5 right parenthesis squared plus left parenthesis 4 minus 5 right parenthesis squared over denominator 5 end fraction end cell row blank equals cell fraction numerator 1 squared plus 1 squared plus 0 squared plus left parenthesis negative 1 right parenthesis squared plus left parenthesis negative 1 right parenthesis squared over denominator 5 end fraction end cell row blank equals cell 4 over 5 end cell end table 

Sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row S equals cell square root of S squared end root end cell row blank equals cell square root of 4 over 5 end root end cell row blank equals cell fraction numerator square root of 4 over denominator square root of 5 end fraction end cell row blank equals cell fraction numerator 2 over denominator square root of 5 end fraction cross times fraction numerator square root of 5 over denominator square root of 5 end fraction end cell row blank equals cell 2 over 5 square root of 5 end cell end table

Jadi, jawaban yang tepat adalah B

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