 FLAT 30% off & \$20 sign up bonus Order Now FLAT 30% off & \$20 sign up bonus Order Now

# Frequency Distribution Table: Definition, Types and Calculations

Home / Blog / Frequency Distribution Table: Definition, Types and Calculations November 19, 2019  0

Frequency distribution tables are one of the most crucial topics in the field of Statistics. If you are studying statistics frequency distribution, the chances are that you may be asked to solve mathematical problems based on this idea. Most of the students flinch at the thought of working on frequency tables because it consists of different categories and too many numbers. Therefore, we have narrowed down the information on the frequency table in this blog. Read on to understand the basic overview and how to solve mathematical problems based on frequency table definition. If you are not knowing “how to calculate frequency distribution?” You are at right platform. Here, you will come to know everything about frequency distribution tables.

## What is the Frequency Distribution Table?

Let us consider frequency distribution examples to understand the frequency distribution table definition better. Say the marks obtained by 10 students in a class are as follows:

23, 26, 11, 18, 09, 21, 23, 25, 22, 11

This is known as raw data. Usually, statistics students are asked to determine the range of a frequency distribution. The range is the difference between the largest and smallest number in a given set of data. In the example given above, range = 26 – 09 = 17.

The above calculation was easier since there were limited observations. But what do you do when you have to deal with the frequency distribution for several observations? In that case, you need to use the frequency distribution table.

The table consists of categorical variables and quantitative variables. The categorical variables define categories such as (in this case) subjects like math and history. Quantitative variables define the numbers as shown below in the table.

 Subjects (Categorical variables) No. of students pursuing the subject (Quantitative variables) Maths 14 Chemistry 58 History 1 English 4 Total 77

Table 1: Frequency distribution table showing categorical variables

The table mentioned above shows the subject in the left column and the number of students who pursue the respective subjects in the right column. A frequency distribution table gives you a snapshot of the data that let you find patterns in the data sets. For instance, we can understand from the above table that only a few students pursue history in the future.

## What Are The Types Of Frequency Distribution Table?

The two main categories of frequency distribution table are:

• Grouped frequency distribution table

Say, for instance, you have been asked to gather data on the test scores of 100 students. It will be quite tricky to tally the scores of all the 100 students. The table will also be huge in length and complicated to understand. That is when we use the grouped frequency tables.

In this case, we need to consider the groups of data in regular class intervals. Then we can tally the frequency for the data that belongs to a specific class interval.

Here is grouped frequency distribution table example:

 Marks obtained in the test [Class Interval] Number of students [frequency] 0-5 4 5-10 11 10-15 35 15-20 34 20-25 7 25-30 9 Total 100

Table 2: Grouped Frequency Distribution Table

In the example shown above, the left column consists of the marks obtained in the class interval form. The lower limit is the smallest number in the interval, and the upper limit is the highest number in the range. Thus, if there is a student who has scored 6 marks in the test, her marks would be included in the interval (5-10).

• Ungrouped frequency distribution table

Let’s assume that the scores of 20 students are as follows:

23, 26, 11, 18, 09, 21, 23, 30, 22, 11, 21, 20, 11, 13, 23, 11, 29, 25, 26, 26

Now, remember that frequency is the number of times a certain observation has appeared in a set of data. Thus, if a number is repeated, its frequency increases.

Look at the table for better understanding:

 Marks Number of students 09 1 11 4 13 1 18 1 20 1 21 2 22 1 23 3 25 1 26 3 29 1 30 1 Total 20

Table 3: Ungrouped Frequency Distribution Table

The ungrouped frequency distribution table calculates the frequency of each data singularly. Also, the frequency must be equal to the total number of observations noted after tallying.

Although the blog covers the basics of frequency distribution tables and tallying, it is okay if you still find it challenging to solve mathematical problems based on the topic. In that case, you can opt for online statistics homework help and see how the writers solve the problems. You can also get help from your professors as and when required whether It is Grouped, Ungrouped or Cumulative frequency distribution. All the best!

## Get Help from the Best Experts @TopHomeworkhelper.com

Our Ph.D. qualified statisticians will take care of your task based on frequency distribution tables with care. It’s okay if you find it hard to work on this topic and thinking of “how to make a frequency distribution table?”. You may have other tasks to focus on. No worries; get statistics homework help from Tophomeworkhelper, and we will handle your paper with the utmost precision and you will also come to know “how to construct a frequency distribution?”

The perks of getting academic help at TopHomeworkhelper.com are:

1. Customised price quote
2. Impressive discounts
3. Referral rewards
4. Round the clock support
5. Instant response
6. On-time delivery

What are you sitting tight for? You can check out our client testimonials to understand how great our writers are at what they do. We will leave no stone unturned to deliver an accurate statistical frequency distribution paper to you on time. Give us a call to know more.

### Place order

Complete and submit the form to get \$20

## Recent Post

Comparison of Two Academic Writing Services

30

## Popular Posts

Active Vs Passive Immunity