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Given-a-set-data-2-2-3-4-5-5-5-8-8-9-11-14-find-the-value-of-Q-1-




Question Number 113919 by bemath last updated on 16/Sep/20
Given a set data    : 2,2,3,4,5,5,5,8,8,9,11,14.  find the value of Q_1
Givenasetdata:2,2,3,4,5,5,5,8,8,9,11,14.findthevalueofQ1
Answered by bemath last updated on 16/Sep/20
i got Q_1 = X_((12+2)/4) =X_(3+0.5) = 3+0.5(4−3)      = 3+0.5 = 3.5
igotQ1=X12+24=X3+0.5=3+0.5(43)=3+0.5=3.5
Commented by bemath last updated on 16/Sep/20
but my friend answer is   Q_1 = X_((12+1)/4)  = X_(3+0.25) =3+0.25(4−3)    = 3.25
butmyfriendanswerisQ1=X12+14=X3+0.25=3+0.25(43)=3.25
Answered by MJS_new last updated on 16/Sep/20
q_1  is the median of the lower half  q_1 =((3+4)/2)=3.5
q1isthemedianofthelowerhalfq1=3+42=3.5
Commented by bemath last updated on 16/Sep/20
thank you. i′m correct
thankyou.imcorrect
Commented by ShakaLaka last updated on 16/Sep/20
yes, if we follow the formula  for even  (1/2)[((n/4))^(th) value + ((n/4)+1)^(th) value]  then then the answer will be  3.5
yes,ifwefollowtheformulaforeven12[(n4)thvalue+(n4+1)thvalue]thenthentheanswerwillbe3.5

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