a) Define mean deviation and prove that is least when it is measured from the medianī) Define Kurtosis and prove that moment co-efficient of Kurtosis is independent of change of origin and scale. a) Define weighted Arithmetic mean, Find the weighted arithmetic mean of first ‘n’ natural numbers, with weights being corresponding numbers.ī) Derive the formula for mode in case of a continuous frequency distribution (4+5)Ĥ. Write the sample space of the random experiment of throwing two dice.Īnswer any four Sub-division: (9 Marks each)ģ. What is scatter diagram? Interpret various types of correlation coefficient using scatter diagram.ĭ.Explain the various steps involved in the construction of consumer price index numbersĮ. What is skew ness? Describe its various measures.Ĭ. What are partition values? How are they determined graphically? Explainī. H.Given P (A)=0.3 P(A UB)=0.6 P(B)=p find p if (i) A & B are mutually exclusive (ii) A &B are independent.Īnswer any three Sub-division: (4 Marks each)Ģ. What is time series? State the models used in time series analysis. Prove the Laspeyrc’s price index number is the weighted A.M. If two regression lines are 3x+xy-26=0 and 6x+y-31=0 find correlation coefficient.Į. Distinguish between (i) Nomial and ordinal data (ii) Simple and weighted averagesī. Answer sub-divisions from Section A in the first two pages only.Īnswer any Six Sub-division: (2 Marks each)ġ. 1.Answer Section A, Section B and any four question from Section CĢ.
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