Here is a set of data 50063208 Which observation is the outl

Here is a set of data: 500,6,3,-2,0,8. Which observation is the outlier? Explain your answer with all the calculations and formulas.

a) 500

b) 6

c) 0

e) 8

Solution

outlier is a)500

including 500,mean of the set of the data= (500+6+3-2+0+8)/6=85.8 that is obviously useless coz all valuesexcluding 500 are less than 10,so the presence of 500 increases the mean,so it is not possible to have a proper idea about the data from this mean.

excluding 500,mean of the set of the data=(6+3-2+0+8)/5=3