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C a l c u l a t e space t h e space c o e f f i c i e n t space o f space v a r i a t i o n space f o r space t h e space f o l l o w i n g space d a t a colon
x colon 20 space space 22 space space 25 space space 31 space space 35 space space 40 space space 42 space space 45
f colon space space space 5 space space 12 space space 15 space space 20 space space 25 space space 14 space space 10 space space space 6

Please provide solution to this question Please provide solution to this question

Asked by Topperlearning User 19th November 2016, 2:21 AM
Answered by Expert
Answer:

x with bar on top equals fraction numerator begin display style sum from i equals 1 to 8 of f subscript i x subscript i end style over denominator begin display style sum for i of f subscript i end style end fraction
equals fraction numerator 20.5 plus 22.12 plus 25.15 plus 31.20 plus 35.25 plus 40.14 plus 42.10 plus 45.6 over denominator 5 plus 12 plus 15 plus 20 plus 25 plus 14 plus 10 plus 6 end fraction
equals 3484 over 107
equals 32.56
sum from i equals 1 to 8 of f subscript i x subscript i squared
equals 20 squared.5 plus 22 squared.12 plus 25 squared.15 plus 31 squared.20 plus 35 squared.25 plus 40 squared.14 plus 42 squared.10 plus 45 squared.6
equals 119218
sigma equals square root of fraction numerator sum from i equals 1 to 8 of f subscript i x subscript i squared over denominator begin display style sum for i of f subscript i end style end fraction minus x with bar on top squared end root
equals square root of 119218 over 107 minus 32.56 squared end root
equals square root of 1114.187 minus 1060.153 end root
equals square root of 168.22 end root
equals 12.97
C. V equals fraction numerator sigma over denominator x with bar on top end fraction equals fraction numerator 12.97 over denominator 32.56 end fraction equals 0.398 space o r space 39.8 percent sign

Answered by Expert 19th November 2016, 4:21 AM
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