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The objective of the present book is to provide a clear, interesting, systematic and thoroughly teachable treatment of Mathematical Statistics. This book is devoted to a concise and logical development of the subject and deals with the study of various averages including the measures of central tendency, dispersion and skewness. The relevant topics of random variables, moments and mathematical expectations have been explained with the help of numerical examples. The concept of probability and the standard results on probability theory have been included in detail. A technique of testing of hypothesis known as Analysis of Variance (ANOVA) very much useful to practitioners has been provided in detail. The present manuscript will be useful and important to all those interested in the study of theoretical and practical problems of Mathematical Statistics. Moreover, it will be a source of inspiration and encouragement for all Statisticians, Mathematicians and others dealing with statistical modeling.