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Measures of Dispersion - NCERT

As the summer heat rises, hillstations, are crowded with more andmore visitors. Ice-cream sales becomemore brisk. Thus, the temperature isrelated to number of visitors and saleof ice-creams. Similarly, as the supplyof tomatoes increases in your localmandi, its price drops. When the localharvest starts reaching the market,the price of tomatoes drops from Rs 40per kg to Rs 4 per kg or even less. Thussupply is related to price. Correlationanalysis is a means for examining suchrelationships systematically. It dealswith questions such as: Is there any relationship betweentwo variables?Correlation1. INTRODUCTIONIn previous chapters you have learnthow to construct summary measuresout of a mass of data and changesamong similar variables. Now you willlearn how to examine the relationshipbetween two this chapter shouldStudying this chapter shouldStudying this chapter shouldStudying this chapter shouldStudying this chapter shouldenable you to:enable you to:enable you to:enable you to:enable you to: understand the meaning of theterm correlation; understand the nature ofrelationship between twovariables; calculate the different measuresof correlation; analyse the degree and directionof the 2023-24 CORRELATION75 It the value of one variable changes,does the value of the other alsochange?

variation, there are certain measures namely: (i) Range (ii) Quartile Deviation (iii) Mean Deviation (iv) Standard Deviation Apart from these measures which give a numerical value, there is a graphic method for estimating dispersion. Range and quartile deviation measure the dispersion by calculating the spread within which the values lie.

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