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Frequency Distribution Calculator + Online Solver With Free Steps
The Frequency Distribution Calculator is used to find the frequency of an entry from a collection of the data point. It can therefore calculate how many times a number shows in the set of Values and counts them from there by comparing each entry with every other.
It is very useful for Statistical Analysis, and for finding medians. It is very easy and intuitive to use, as you just enter the inputs, and it finds the results.
What Is a Frequency Distribution Calculator?
The Frequency Distribution Calculator is an online calculator designed to extract information regarding the Frequency of an entry from a set.
So, we enter a set of values into this Calculator, and it solves the problem, by providing a list of frequencies of the entries of the set as a result.
This Calculator comes in very handy as working with statistical problems involves a lot of frequency management, and this Calculator can solve such problems for you in your browser.
How to Use the Frequency Distribution Calculator?
To use the Frequency Distribution Calculator, we first enter the set of values into the input box and just get the results. To get the best results from your Calculator, follow the step-by-step guide given below:
Step 1
We organize the set of values into the correct format for it to be entered. The format is set up in a way that the entries should be Comma Separated and with no square brackets or brackets of any kind.
Step 2
We enter this collection of data points into the input box.
Step 3
Then we press the button labeled “Calculate Frequency Distribution Table” as it produces the desired results for us.
Step 4
Finally, if you intend to solve similar problems you can enter their sets into the new interactable window in which this calculator shows your results.
How Does the Frequency Distribution Calculator Work?
The Frequency Distribution Calculator works by taking in a set of numbers, calculating the frequency of these numbers, and then expressing them in a Descending Order. This calculator can come in handy when working with Statistical Data.
It can prove to be very useful to find the Frequency of certain numbers as it tells a lot about the Median of the data. Now, let’s go into detail about the sets of numbers and their frequencies.
Sets
In Mathematics, data is very important, and sets are a method of recording data. Thus, a Set can be defined as a configuration of numbers compiled together, storing some sort of Information.
There are many different types of Sets, which are classified based on their properties. A set of data could be Empty, could only have one value, could contain a data point that would carry on till Infinity, or even have numbers that repeat themselves. These sets, therefore, form the basis for Frequency and frequency calculation.
Frequency
The Frequency of a number is defined as the number of times something occurs in a given amount of Time. So, if we are dealing with an event that is to be recorded as a data point, if it repeats itself, then it gets to have a Frequency, and that frequency is also time-based.
Frequency is used in engineering all the time, from the computer, to electrical, and even mechanical engineering frequency brings a lot of information forward. Now, in a set of numbers, a frequency is the number of times the same number exists in that Set.
Find the Frequency
The basic method of finding the Frequency of a number in a set is to go through every value and count the number of times the value in question appears. But if the Data is too big for it to be humanly impossible to go through every entry in it, then we rely on Computers.
The computational power of a computer does the same thing, it goes over a bunch of data points and extracts the Information it requires. Once the Frequency is acquired, then you can use that frequency and move downwards from the highest value using the Descending Order.
So, in our memory, we assign the Frequency to each number, and as we move through every entry, we set up a Database of information. Once we have completed the analysis, we move forward into our database of ours and get the Highest Frequency first, then the second highest and so on.
So, if we have a set A given as:
A = [ a, b, c, a, v, d, a, c ]
Then, by analyzing the data we can tell that a is repeating 3 times, and c is repeating 2 times, the rest are all existing once. Hence, the Frequency of those entries is found.
Solved Examples
Now, to get a better understanding of the concepts, we take a look at some examples.
Example 1
Consider the collection of numbers as set A:
A = [ 22, 20, 18, 23, 20, 25, 22, 20, 18, 20 ]
Find out the Frequency Distribution of these entries inside the set of numbers.
Solution
We begin by first taking into account all the numbers in this Set and taking each of them and comparing them against every other entry. So, let’s take 22 and check how many of the same numbers are there in our set.
We can see that 22 is repeated twice, so its Frequency is 2. Moving on to 20 we check it against every other entry and find out that it is repeating four times, hence its Frequency is 4. Moving on to 18 which has a frequency of 2, and 23 along with 25 with frequencies of 1.
This way we have a database of these frequencies, now we can take the maximum frequency and place it in a Descending Order in a series:
{20, 4}, {22, 2}, {18, 2}¸{25, 1}, {23, 1}
Example 2
Consider the following collection of alphabets in a set B:
B = [ a, d, g, h, j, s, a, d, v, f, g, h, d, f, g, s, a, f, g, h ]
Find the Frequency Distribution of each alphabet in this set.
Solution
We begin by first considering every entry and solving for each repetition in the set. So, starting at a we see that it is repeating three times, hence we can say it has a frequency of 3:
{a, 3}
Moving forward to d we find its Frequency to be equal to that of h and both these have the frequency of 3 as well, hence:
{ d, 3 }, { h, 3 }
Furthermore, we have g with the frequency 4 and j with the frequency 1:
{ g, 4 } , { j, 1 }
Finally, we have s, v, and f with frequencies equal to 2, 1, and 3 respectively:
{ s, 2 }, { v, 1}, { f, 3}
The compiled version of the Frequencies is therefore given as:
{ g, 4}, { d, 3}, { h, 3}, { f, 3}, { a, 3}, { s, 2}, { j, 1 }, { v, 1}