MEASURES OF CENTRAL TENDENCYMEAN, MEDIAN, MODE

RAW DATAMean= sum of the observations/ number of

items = Ʃx/ n

GROUPED DATAMean= Ʃfx/ N where, N is the sum of frequency

MEAN

MEDIANRAW DATA

Item of {(n+1)/2}th positionGROUPED DATA

Median= l+ (N/2-m)/ f x c where, N= total frequency m= cumulative frequency up to

the median class f= frequency of median class c= class interval

MODE RAW DATA

Mode= observation most repeated frequently

GROUPED DATAMode= l+ f2/ (f1+f2) x c where, l= lower bound f1= frequency of modal class f2= frequency after the

modal class c= class interval

RELATION BETWEEN MEAN, MEDIAN AND MODE

mode= 3median- 2mean mean > median > mode