Mean is a measure of central tendency and is considered to be a very important parameter of statistics. Mean or Average is the sum of the data sets or numbers or values divided by the number of numbers or data sets or values.
What is a discrete number?
A discrete number is a standalone number. It might be a whole number or fractional number but it stands on its own with no extension or range. An example of a discrete number is 5, 12, 10.6, 17, 20
What is a continuous number?
A continuous number is a range of numbers packaged as a single entity. An example of a continuous number is 5 – 10, 20 – 30, 25 – 50.
There are two possibilities in calculating the mean of a set of discrete numbers. One can either compute the mean via the application of frequency or no frequency at all.
For Example: A set of discrete numbers such as these:
4, 5, 6, 7, 8, 9
These numbers all occur once and have a frequency of 1 per number.
Therefore, if you want to create a table for the number and frequency, it looks like this:
Number 4, 5, 6, 7, 8, 9
Frequency 1, 1, 1, 1, 1, 1
You can clearly see that there is no need for applying frequency to calculate the mean of the above set of numbers. Application of frequency on a large set of numbers makes it easier to organize and compute the mean.
Now, for a set of numbers such as these:
4, 4, 4, 2, 4, 5, 3, 3, 3, 2, 1, 1, 6, 4, 3, 2, 4, 2, 5, 2, 1
You can see that some of the discrete numbers occur more than once and this implies that application of frequency is useful and makes the computing of mean easier and comprehensive.
From the display of numbers above you can see that the number 4 occurred 6 times, the number 2 occurred 4 times, the number 5 occurred 2 times, the number 3 occurred 4 times, the number 1 occurred 3 times, the number 6 occurred 1 time.