Find the outiers in the folowing data set 5221144 17 rnd a 1

Find the outiers in the folowing data set :-5221144 1,7, rnd a) -1.SXIOR)- (c) Ostiers

The given values are 1,-5,2,2,11,5,6,1,7.

We order the values in ascending order as

-5,1,2,2,5,6,7,11

Here n= no. of observations = 8

n/4 = 2 and 3n/4 = 6

Q1 = 2^nd observation = 1

Q3 = 6^th observation = 6

IQR = Q3- Q1 = 6-1 = 5

(a)

Q1-1.5(IQR) = 1-(1.5*5)= -6.5

(b)

Q3+1.5(IQR) = 6 + (1.5*5) = 13.5

(c)

Since no values lie outside [-6.5,13.5] no outlier is present.