If you’re interested in understanding more complex statistics lessons and geometry lessons, it’s a great idea to teach yourself about the use of empirical formulas and the use of endpoint formulas. If so, simply continue reading to discover everything which you need to know about both formulas.

Understanding empirical formulas and endpoint formula:

What is an empirical formula:

In the study of statistics the term empirical formula refers to a simple, mathematical formula which shows the relationship between the mean, the mode and the median. All of which are common statistical terms.

What does the term mean refer to in statistics?

The term mean is statistics refers to the average number of a group of numbers. To find the mean of a group of numbers add up all the numbers in your specified range and divide the answer which you get by the number of items which you added up.

What does the term median refer to in statistics?

The term median refers also refers to an average number. However if you were to look at a group of numbers and used the formula for the mean and the formula for the median to find your average number, you’d get two very different results.

To find the median of a set of numbers, sort your numbers from smallest to largest, then work your way inwards from the bottom number and the top number in your ordered list, until you successfully find the middle number. If you find that there are two numbers in the middle of your ordered list, your answer will be the average of the two numbers which you’re looking at.

What does the term mode refer to in statistics?

The mode in statistics, refers to the number in a list or group which appears most frequently. To find the mode of a group of numbers, it’s a great idea to use a tally chart to chart the number of times which each of your numbers appears in your list.

Why is the empirical formula important?

If you’re looking for a true average, it’s a great idea to use an empirical formula, to figure out a number which is influenced by your mode, median and mean, not just a single calculation.

What is an endpoint formula?

The endpoint formula is used by mathematicians, particularly in geometry and algebra, in order to find the endpoint of a line. In order to figure out the end point of a line, you’ll need to know the midpoint and the opposite end of your line. After which point, you’ll need to use a two line algebra equation to find your endpoint.

If you’d like to have a go at working out the end point of a line, simply use the endpoint formula which is (x2, y2) = (2_m1 – x1, 2_m2 – y1). If you’re a bit overwhelmed by the end point formula just remember to use the acronym BEDMAS, in order to work out your equation.

Hopefully you’re now confident about your understanding of the endpoint formula and the empirical formula both of which are commonly used in mathematics.