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A set of all possible data values for a subject under consideration is called?
a population
Can the sample mean can equal to zero?
Yes, it can. This happens when all of the observations are equal. This can also happen when some values are negative and some are positive (assuming that the variable under consideration can assume negative values).
What did Euclid contribute to history?
The Elements, a book explaining all about the elements.
How do you Derive The Number of reflexive relation of a Set 's' having n elements?
make a table as I did below for the set {a,b,c} with 3 elements. A table with all n elements will represent all the possible relations on that set of n elements. We can use the table to find all types of relations, transitive, symmetric etc. | a | b | c | --+---+---+---+ a | * | | | b | | * | | c | | | * | The total number of relations is 2^(n^2) because for each a or b we can include or not include it so there are 2 possibilities and there are n^2 elements so 2^(n^2) total relations. A relation is reflexive if contains all pairs of the form {x,x) for any x in the set. So this is the diagonal of your box. THESE ARE FIXED! No, in reflexive relation we still can decide to include or not include any of the other elements. So we have n diagonal elements that are fixed and we subtract that from n^2 so we have 2^(n^2-n) If you do the same thing for symmetric relations you will get 2^(n(n+1)/2). We get this by picking all the squares on the diagonal and all the ones above it too.
What is the number of books in Euclid's elements?
There are thirteen books in Euclid's Elements. You can read them all online at http://aleph0.clarku.edu/~djoyce/java/elements/elements.html .
