What proportion of the following sample of ten measurements lies within 1 standard deviation of the mean? Within 2 standard deviations ? Within 3 standard deviations?
2 ,4 ,1,2,2,4,3,5,2,3
Solution:-
Proportion which lies within 1 standard deviation = 80%
Proportion which lies within 2 standard deviation = 100%
Proportion which lies within 3 standard deviation = 100%