Measures of Central Tendency Prepared by: Bhakti Joshi Date: November 21, 2011

Ogives Ages Frequency of Mobile Phones Owned Cumulative Frequency Percentage Cumulative Frequency (3/30)*100=10% = 5(5/30)*100=16.67% =11(11/30)*100= 36.67% =18(18/30)*100=60% =23(23/30)*100=76.67% =25(25/30)*100= 83.33% =30(30/30)*100=100%

Frequency of mobile phones owned

Percentage Cumulative Frequencies of mobile phones owned

Ogives (Contd…) OGIVE

Measures of Central Tendency Known as summary statistics Description of numerical information Analysis of information from the middle point of a distribution and hence the term “Central Tendency” The starting point to analyse the spread of the data (Measure of Dispersion)

Mean or Arithmetic Mean (AM) Mean= 178/10 = 17.8 Interpretation?

Weighted Mean Age Intervals Frequency of Mobile Phones Owned (f) Mid- point (x) fx *12.5= *17.5= *22.5= *27.5= *32.5= *37.5= *42.5=850 Interpretation? Weighted Mean= 27.16

Median …Central Item of a data set (N+1) /2 = M N = Number of observations M= Median

Median Age Intervals Frequency of Mobile Phones Owned (f) Cumulative Frequency Interpretation?

Mode …Value that is repeated most often in the data set. Mode is not used for ungrouped data Age Intervals Frequency of Mobile Phones Owned (f) Cumulative Frequency Interpretation?

Relationship between Mean-Median- Mode Mean < Median < Mode = Negatively Skewed Mean> Median> Mode = Positively Skewed Mean = Median = Mode = Normal

Projects Stock Prices of Companies representing any one of the following industries listed on the BSE or NSE Textiles Banking Automobiles IT/Telecommunication Pharmaceutical Foods & Beverages Infrastructure Steel Oil & Gas Chemicals

Website: