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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.
Histogram: It is generally used for charting continuous frequency distribution. In histogram, data are plotted as a series of rectangle one over the other. Class intervals
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
Variance The term variance was used to describe the square of the standard deviation by R.A.Fisher. The concept of variance is highly important in areas where it is possible to
If the data set contains an odd number of items, the middle item of the array is the median. If there is an even number of items, the median is the average of the two items. If the
Year Production 2006 8 2007 6 2008 10 2009 12 2010 11 2011 15 2012 14 2013 16 Determine the trend from data given above?
Assumption of extrapolation
What does the confidence level of a confidence interval tell you? Suppose that a population has mean, µ, and standard deviation, σ. What does the central limit theorem tell us
Chebychev inequality
show that (N,/) IS NOT A SEMI GROUP
In the context of multivariate data analysis, one might be faced with a large number of v&iables that are correlated with each other, eventually acting as proxy of each other. This
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