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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.
(i) Plot the step responses of the following second order systems and state the nature of each system. For each case, find the poles and plot the location of the poles in the compl
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Assume that a simple random sample has been selected from a normally distribute population and test the given claim. Identify the null and alternative hypotheses, test statistic,
Harmonic Mean The harmonic mean also called harmonic average, in the total numbers of items of variable divided by the sum of r reciprocals of the values of the variable. In
Other Measures of Dispersion In this section, we look at relatively less used measures of dispersion like fractiles, deciles, percentiles, quartiles, interquartile range and f
The Null Hypothesis - H0: The random errors will be normally distributed The Alternative Hypothesis - H1: The random errors are not normally distributed Reject H0: when P-v
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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 )
The regression line should be drawn on the scatter diagram in such a way that when the squared values of the vertical distance from each plotted point to the line are added, the to
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