Calculate the sum of a data set with this calculator!
Answer
Learn about Summation
Knowing the sum of a data set is a something that does not immediately seem relevant to statistical analysis. However, knowing a set's sum is required to find other helpful metrics, such as the mean (mathematical average). Finding the sum of many numbers is a question that can appear in technical interviews for software engineering positions and math classes of all levels.
To find the sum of a data set, add every element of the set together. Take the following data set.If there is a calculator handy, then summing up the data points is simple.If none is available, try splitting the data set into groups of similar points, then using multiplication.Another trick is to "redistribute" values from other numbers to make the summing process simpler, since addition is associative. For instance, by removing 1 or 2 from the 19s and 20s in the set and adding them to the 17s, we can make every value into 18, which can be multiplied by the total number of elements to find the sum.
The most common number of this data set is 24. By subtracting from numbers greater than 24 in the set, and adding the difference to the numbers smaller than 24, every value can be turned into 24, with a remainder of 11.Multiplying our newly created set of 24s by 12 (the size of the data set) and adding the remainder yields the sum.Given the small size of the numbers and set, the best tactic here is simply adding all the values together.The most common number in this set is 67. By subtracting from the numbers larger than 67, and adding that difference to those numbers less than 67, seventeen 67s are left, with a remainder of 19. Multiplying 67 by the total number of elements and adding the remainder yields the sum.
Watch detailed video tutorials about Summation!
Sigma notation for sums | Sequences, series and induction | Precalculus | Khan Academy
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