Plsss solve ques. 2(i)

Dear Student,

Answer 2-(i)  We will compute the mean deviation from the mean in the following way:
Classes  f subscript i Midpoints
x subscript i
f subscript i x subscript i open vertical bar space x subscript i space end subscript minus top enclose X space close vertical bar
= open vertical bar space x subscript i minus 358 space close vertical bar
f subscript i space end subscript open vertical bar space x subscript i space end subscript minus space top enclose X space end enclose close vertical bar
0−100 4 50 200 308 1232
100−200 8 150 1200 208 1664
200−300 9 250 2250 108 972
300−400 10 350 3500 8 80
400−500 7 450 3150 92 644
500−600 5 550 2750 192 960
600−700 4 650 2600 292 1168
700−800 3 750 2250 392 1176
  sum from i equals 1 to 8 of f subscript i equals 50
 
  stack space sum with i equals 1 below and 8 on top f subscript i space x subscript i equals 17900   sum from i equals 1 to 8 of f subscript i space end subscript open vertical bar space x subscript i minus top enclose X space close vertical bar equals 7896



















space N equals sum from i equals 1 to 6 of f subscript i equals 50 and space sum from i equals 1 to 6 of f subscript i x subscript i equals 17900

 top enclose X equals fraction numerator begin display style sum from i equals 1 to 8 of end style f subscript i x subscript i over denominator space begin display style stack sum f subscript i with i equals 1 below and 8 on top end style end fraction equals 17900 over 50 equals 358 



 therefore space Mean space deviation equals 1 over N sum from i equals 1 to 8 of f subscript i space open vertical bar space x subscript i minus top enclose X space close vertical bar space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 7896 over 50 space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 157.92 
    
              
Regards

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