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CBSE Class 11-science Answered

please use the formula ∑fi|xi-x¯|/∑fi in Q1 Q2) find the image point (3,8) in the line x+3y-7=0.
question image
Asked by Suryavanshikatoch | 14 Feb, 2019, 09:33: AM
answered-by-expert Expert Answer
Let us calculate the mean of given data
 
income
mid-value
xi
No. of persons
fi
 xi fi
0-100 50 4 200
100-200 150 8 1200
200-300 250 9 2250
300-400 350 10 3500
400-500 450 7 3150
500-600 550 5 2750
600-700 650 4 2600
700-800 750 3 2250
 
we have begin mathsize 12px style sum from i equals 1 to 8 of f subscript i space equals space 50 space space space a n d space sum from i equals 1 to 8 of x subscript i f subscript i space equals space 17900 comma space space h e n c e space m e a n space x with bar on top space equals space 17900 over 50 space equals space 358 end style
income
mid-value
xi
deviation
xi - begin mathsize 12px style x with bar on top end style
No. of persons
fi
 (xi -begin mathsize 12px style x with bar on top end style)fi
0-100 50 -308 4 -1232
100-200 150 -208 8 -1664
200-300 250 -108 9 -972
300-400 350 -8 10 -80
400-500 450 92 7 644
500-600 550 192 5 960
600-700 650 292 4 1168
700-800 750 392 3 1176
         
 
we have  begin mathsize 12px style sum from i equals 1 to 8 of open parentheses x subscript i minus x with bar on top close parentheses f subscript i space equals space 0 end style
mean deviation about mean = 0
Answered by Thiyagarajan K | 14 Feb, 2019, 03:59: PM

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