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Central Tendency and Dispersion in Statistics:
Write a note on the following :
i) What is the importance of Measures Of Central Tendency and Dispersion in Statistics ?
ii) Define Correlation coefficient and discuss two methods of its computation .
iii) What is regression analysis ? Discuss the relation between 'correlation coefficient ' and the 'regression coefficients'.
Ques: Data on the scores obtained by A & B are given below :
A
B
23 24 43 37 26
43 37 29 49 41
23 37 43 41 26
37 24 29 43 49
29 18 23 24 25
23 24 28 35 39
34 18 35 24 42
37 41 25 23 39
i) Compare Arithmetic Mean and Standard Deviation for the two groups and compute pooled mean and variances.
ii) Comment on the consistency between A and B.
Properties of correlation
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Consider the linear transformation (a) Find the image of (3 , -2 , 2) under T. (b) Does the vector (5, 3) belong to the range of T? (c) Determine the matrix of the transf
The total number of overtime hours (in 1000s) worked in a large steel mill was recorded for 16 quarters, as shown below. Year Quarter Overtime hour
Cluster Sampling This method is also known as multi stage sampling .Under this method random selection is made of the ultimate or final units from a given stratum. The sampling
why we use dummy variable
Index Number Meaning and Definitions of Index Number The index numbers are the special type of averages which are presented in percentages and computed on certain base.
(a) At a stream gauging station, the following discharges and stage measurements were taken for the purpose of the rating curve at that section: Stage (m) 1
You are given the differential equation dy/dx = y' = f(x, y) with initial condition y(0 ) 1 = . The following numerical method is also given: where f n = f( x n , y n )
Test for Equality of Proportions For example, we may want to test whether the percentage of smokers (p 1 ) among the males equals the percentage of female smokers (p 2 ). W
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