The following article is inspired from https://brilliant.org/daily-problems/average-visual/ of March 17th, 2019. The Arithmetic Mean Sequence for any 2 numbers, a1 and a2, is a progressive series of numbers where each number is the Arithmetic Mean of the previous 2 numbers, starting the sequence with a1 and a2. Solving intermediary values in the sequence Let x … Continue reading Finding Intermediate Values in Arithmetic Mean Sequence
Category: Mathematics
Median
The 3 most popular average algorithms are: Arithmetic Mean Median Mode In the previous articles the Arithmetic Mean and Mode have been covered. The last popular average algorithm the Median is covered in this article. Median average is when the middle value within a range is found. For example, consider a class of 5 students … Continue reading Median
Jacobsthal Number Sequence
In Mathematics several well-known sequences exist, like Fibonacci, Square numbers sequence, etc. One such sequence is Jacobsthal, which states that: Another way to calculate the Jacobsthal number without using recursion on the Jacobsthal equation, is to use the Binet formula [4][5]: Using any of the forumalas above to generate the first 50 numbers in the … Continue reading Jacobsthal Number Sequence
Mode
When dealing with sparse data or data that is distributed towards the edges (U-Shaped sample), finding the Arithmetic Mean or Medium can provide wrong information about the data distribution. A way to calculate the average in such scenarios is to find where the data peaks exist. This method is called Mode. The mathematical formula above … Continue reading Mode
Understanding Mathematical Symbols – Summation (Addition)
When a summation over a range of numbers is to be presented it is not uncommon to shorthand the notation using the Sigma (the letter S in Greek, written as a Big E with the middle t replaced by a less than symbol ). For example, the following sums can be represented in the Sigma … Continue reading Understanding Mathematical Symbols – Summation (Addition)