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Graphs and Measures of Central Tendency. Prepared by: Bhakti Joshi Date: November 18, 2011. Type of Data. UNIVARIATE. Type of Data. COMPLEX. Graphs. y-axis. 2 nd Quadrant. 1 st Quadrant. 1 2 3 4 5 6 7 8. (- , +). (+ , +). (x , y). x-axis.
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Graphs and Measures of Central Tendency Prepared by: Bhakti Joshi Date: November 18, 2011
Type of Data UNIVARIATE
Type of Data COMPLEX
Graphs y-axis 2nd Quadrant 1st Quadrant 1 2 3 4 5 6 7 8 (- , +) (+ , +) (x , y) x-axis 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 (+ , -) (- , -) 3rd Quadrant 4th Quadrant -7 -6 -5 -4 -3 -2 -1
Types of Graphs • Lines • Histograms • Pie Charts
Ages of Students Across Roll Numbers Source: Class Survey Conducted on November 11, 2011
Ages of Students Across Roll Numbers • Students distributed around the age of 17? • Students distributed around the age of 19? • Which graph is visibly clear and why?
Mobile Brand Ownership Among Boys and Girls Source: Class Survey Conducted on November 11, 2011
Mobile Brand Ownership Among Boys and Girls Source: Class Survey Conducted on November 11, 2011
Mobile Brand Ownership Among Boys and Girls • Which graph explicitly shows the total number of mobile brands owned by students? • What are major differences in both the graphs in terms of : • Data presented • Interpretation • What kind of questions can be answered by the graphs?
Market Share of Vehicles During FY11 Source: Society of Indian Automobile Manufacturers (SIAM)
Market Share of Vehicles During FY11 • Which type of vehicles in India have the least market share? • If the total sales (in numbers) during FY11 was 15,513,156, how many passenger vehicles were sold? • If the market share of commercial vehicles is expected to increase from 4.36% to 5% during FY12, while other vehicles’ shares remained the same what will be the expected total sales in FY12?
SENSEX - Movement on Daily Basis Source: Bombay Stock Exchange (BSE) - www.bseindia.com
SENSEX - Movement on Daily Basis • Identify the dates when the SENSEX peaked • What is the nature of the graph? Cyclical, steady, or fluctuating? • During which time period were there limited fluctuations?
Wholesale Price Index (WPI) – Monthly Data Series Source: Ministry of Commerce, Office of Economic Adviser, Government of India (GoI) – eaindustry.nic.in
Wholesale Price Index (WPI) – Monthly Data Series • What is WPI? • Is it increasing? • By what rate did WPI decline during Feb-11? • Which time period and by what rate was the WPI the highest between Oct-10 and Oct-11?
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)
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