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CBSE Class 11-science Answered

$F i n d space t h e space c o e f f i c i e n t space o f space v a r i a t i o n space f o r space t h e space f o l l o w i n g space d a t a colon$ Height(in feet) 2-3 3-4 4-5 5-6 6-7 7-8 No of persons 2 4 12 10 3 1

Asked by Topperlearning User | 19 Nov, 2016, 03:45: AM

Expert Answer

Height(in feet)	No of persons f_i	x_i	f_ix_i	f_ix_i²
2-3	2	2.5	5	12.5
3-4	4	3.5	14	49
4-5	12	4.5	54	243
5-6	10	5.5	55	302.5
6-7	3	6.5	19.5	126.75
7-8	1	7.5	7.5	56.25

$x with bar on top equals fraction numerator begin display style stack sum f subscript i x subscript i with i below end style over denominator begin display style sum for i of end style f subscript i end fraction equals 155 over 32 equals 4.84 sigma equals square root of fraction numerator begin display style stack sum f subscript i x squared subscript i with i below end style over denominator begin display style sum for i of f subscript i end style end fraction minus 4.84 squared end root equals square root of 790 over 32 minus 23.425 end root equals square root of 24.6875 minus 23.425 end root equals square root of 1.2625 end root equals 1.1236 C. V equals fraction numerator sigma over denominator x with bar on top end fraction equals fraction numerator 1.1236 over denominator 4.84 end fraction equals 0.23 space o r space 23 percent sign$

Answered by | 19 Nov, 2016, 05:45: AM

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