SMA

Simpangan baku dari data 2, 3, 4, 5, 6 adalah?

A. square root of 15

B. square root of 10

C. square root of 5

D. square root of 3

E. square root of 2

Pembahasan

Rumus simpangan baku :

S equals square root of fraction numerator begin display style sum from i equals 1 to n of end style left parenthesis x subscript i minus top enclose x right parenthesis squared over denominator n end fraction end root  x subscript i equals x subscript 1 comma space x subscript 2 comma space x subscript 3 comma space... comma space x subscript n

x = rata-rata

n = banyaknya data

Jadi,

x equals fraction numerator 2 plus 3 plus 4 plus 5 plus 6 over denominator 5 end fraction equals 20 over 5 equals 4  S equals square root of fraction numerator left parenthesis 2 minus 4 right parenthesis squared plus left parenthesis 3 minus 4 right parenthesis squared plus left parenthesis 4 minus 4 right parenthesis squared plus left parenthesis 5 minus 4 right parenthesis squared plus left parenthesis 6 minus 4 right parenthesis squared over denominator 5 end fraction end root  equals square root of fraction numerator 4 plus 1 plus 0 plus 1 plus 4 over denominator 5 end fraction end root equals square root of 10 over 5 end root equals square root of 2

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