Mean
There are numerous distinct types of means, and we have a variety of different techniques and formulae for calculating them. However, the arithmetic mean is the most widely used type of mean in mathematics.
Moreover, the arithmetic mean is the most commonly employed measure of central tendency in the context of mean. A mean may be calculated from both discrete as well as continuous data sets. Albeit, most probably the mean is calculating incorporating continuous data.
It may also be defined as the ratio of the sum of all observations to the total number of observations, which is an alternative definition. Generally, it is known as the concept of average.
In mathematical terms, the mean finder may be defined as the sum total of all the data values’ result being divided by the number of data values that were taken in the analysis.
How to Calculate Mean Value
To find the mean of a group of numbers, you must first add up all of the numbers and then divide the amount by the number of numbers in the group. In a nutshell, it is the process of calculating the average of all numbers in the data.
The arithmetic mean is represented by the number of individual data points using x bar as x̅. For instance, if we take a set with n elements x1, x2, …, xn, the arithmetic mean, also known as the average, is computed using the following formula:
x̅ = x1 + x2 +………..+xn / n
However, it is customary to write this formula in a slightly different method, employing the Greek capital letter,Σ which is pronounced “sigma”, to denote the sum of the numbers as
x̅ = Σx / n
Midpoint
The midpoint is the point present on a line segment that is “halfway” between the two points. The line segment is divided into two equal or congruent halves by the midpoint.
The midpoint is just the average of each coordinate in the section, which results in the formation of a new coordinate point. For instance, the x-coordinate of the midpoint is the average of the x-values from the two points that were provided as starting/ending points.
In the similar manner, the midpoint’s y-coordinate is the average of the y-values from the initial and ending points of a line segment.
How to Calculate Midpoint Value
To calculate the midpoint of a line segment, we take the average of the x-coordinates and the average of the y-coordinates of the starting and ending points. Midpoint formula calculator provides accurate and quick results if you want to take help from online tools.
Given the coordinates (x1,y1) and (x2,y2), the midpoint of these coordinates is defined by (x1 + x2)/2, and the midpoint of these coordinates is determined by (y1 + y2)/2.
This creates a new coordinate that you can refer to as (x3,y3). If you put your coordinate value into the midpoint formula mentioned above, the midpoint of any line segment could be found accurately.
It is possible to compute the midpoint values of a line segment; even for bigger values and decimal values of coordinates. However, another quickest and most convenient method of calculating the midpoint is the use of an online midpoint calculator.
Below however, is given the step by step procedure to calculate the midpoint of a line segment using the midpoint formula.
1. Name the Coordinates
First of all label the given coordinates as (x1,y1) and (x2,y2) with their respective coordinates.
2. Put Values in Formula
Next, put all the values in the formula of midpoint and make sure to place them accurately specifically considering the decimal point.
3. Perform Arithmetics
Perform the arithmetic’s operations by first summing up the values within the parenthesis and dividing the sum of each result by two.
4. Coordinates Value
Those calculated values are what we can call as the coordinates for the midpoint. For x and y coordinates the mean is separately calculated and ultimately the separate values collectively give the midpoint value of a line segment.
