central tendency and correlation coeeficent

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Information about central tendency and correlation coeeficent

Published on March 3, 2014

Author: koppulachandra



QTBD 2013 UNIT-1 Measures of Central Tendency Definition:  Average is a measure which represents the huge volume of data into a single numerical value.  An average gives us an idea about the concentration of the values in the central part of the distribution.  Averages are the typical values around which the other distribution concentrates. Types of Measures 1) Arithmetic Mean (or) Average 2) Median 3) Mode 4) Geometric Mean 5) Harmonic Mean Characteristics of Measures of central tendency       It should be easy to understand and easy to calculate. It should be based on all items. It should be capable for further algebraic calculations. It should be rigidly defined. It should not affected by the extreme observations. It should not affected by the fluctuations of the sampling. Demerits of measures of Central Tendency        It can’t be determined by inspection method nor can’t locate by graphically. Arithmetic mean can’t be used for qualitative characteristics, which cannot be measured quantitatively. Ex. Honesty, Intelligence, beauty, etc. Arithmetic mean cannot be used for open ended class-intervals. Ex. below 90 and above 100. Arithmetic mean is affected by extreme values. Arithmetic mean leads to wrong conclusions if the details of the data from which it is computed are given. Arithmetic mean cannot be obtained if the single observation is missing or lost from the remaining values. Arithmetic mean is not suitable measure for extremely asymmetric distribution. Method to calculate Average 1) Direct method. 2) In-direct method (or) Deviation method. 3) Step Deviation method. 1) Direct method : K.V.RAMESH BABUM.SC.STATISATICS @ ASSISTANT PROFESSOR Page 1

QTBD 2013

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