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

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

Commented bybemath 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

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

Commented bybemath last updated on 16/Sep/20

thank you. i′m correct

Commented byShakaLaka 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