Count the number of distinct elements in the set.
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The cardinal number of a set is the number of elements in the set. Example: the cardinal number of the set {6, prune, 675, biscuit, London} is 5, since the set contains five elements. If a set contains repeated elements, they should only be counted once. Example: the cardinal number of the set {6, 7, 3, 4, 4, 7} is 4 (not 6) since the fours and sevens are only counted once.
The average of a set of numbers is defined as the sum of those numbers divided by the number of numbers. If the average is given, multiply that by number of items in the set including the missing number. Subtract the sum of given numbers from this quotient and the missing number is revealed.
The median of a set of numbers in the number that is exactly center. For example, if 1,2,3,4,5,6,&7 were a set of numbers that you were asked to find the median of, 4 would be the correct answer. To find the median, one must order the number from least to greatest and cross out all the numbers until you find the center. In such case that you are asked to find the median in a set of number that has a even amount such as 1,2,3,&4, one would have to add together 2 an 3 then divide the product by 2.
1. Find the mean (average) of each set. 2. Subtract each value from its set mean. 3. Square each difference. 4. Add the squared values for each set. The sum of the squared differences for each set is that set's variance. If you want to find standard deviation (a much more useful number in most cases), divide the variance by the number of values in the set minus 1 (n-1), and then take the square root of the result.
If you order the numbers from the higher to the lowest, the median is the number separating the lower half of the numbers from the higher half of the numbers in the set. If you have an odd number of elements in the set then the median is in the middle of this descending ordered numbers. If you have an even number of elements then, in order to determine the median, you calculate the mean of the two middle values.