Everything to know about Frequency Distribution Table

A frequency distribution table is usually about portraying the frequency of each data set in an organized way. These help in finding the pattern in the data. Along with this, it helps in enabling the analysis of data using measures like central tendency and variance. With the help of a frequency distribution table, the first thing a mathematician does is the collection of data to organize properly. The organizing makes it more meaningful. Also, this is done based on the size of the data set and tallying the marks with the outcome of frequencies. Students who are studying statistics can face issues in solving the frequency distribution tables and problems related to them. In this case, students can get in touch with our online services that provide solutions to the frequency distribution problems.

Steps to make a Frequency Distribution Table

The use of a frequency table often displays frequency distribution tables. The table is an effective way to have a summary of the larger dataset. This is usually composed of two columns, firstly, the value columns and secondly, the frequencies. The method through which the frequency table differs is due to the types of frequency distribution. Moreover, the table can be made using applications that can Excel SPSS, R, etc. It is easy to make a frequency distribution table. Hence, students can easily frame the table.

• Step 1: Firstly it should start with making two columns one with the title and another column on the side that should be frequency.
• Step 2: The next step is finalizing the data according to the grouping and ungrouping, this can be done by looking at the items written as data.
• Step 3: The data has to be written in the first column as per the data set values.
• Step 4: Count the number of times the data repeats itself which is collected. In simpler form, seeing the frequency of the item that is counted.
• Step 5: Writing the frequency in the next column of the items
• Step 6: At last, the final lot of frequencies can be written in the last row.

All of these steps help in explaining the way data sets are out in the row. With the help of this, anyone can properly make the arrangement of the data set as well.

Major key terms in Frequency Distribution Tables

There are some important terminologies associated with the frequency distribution table. They are as follows:

• Categories or variables: The various groups and their values in the data set are the first columns of any distribution frequency table.
• Frequency: when a number of times a specific value or data is repeated in the set. These are generally mentioned in the table.
• Ungrouped frequency distribution table: this is the type of table where the individual values are enlisted with their frequencies without putting them in groups and intervals.
• Grouped frequency distribution table: these types of distribution tables are mainly about grouping the values in intervals, thereby recording their frequencies. Preferably, they are helpful in dealing with large data.
• Tally mark: marks that are used to represent the frequency of variables in a compact way are tally marks. They are generally seated in the third column of the table.
• Total frequency: the sum of the frequencies in the table is the tidal frequency. It helps in providing the overall count of the data. Also, sometimes, it is included in the last word of the table.

If students find issues in undertime assignments related to the terminology, they can get in touch with our assignment help online services. We provide help to the students related to the terminology in the frequency distribution table.

Types of data

There are generally two types of data. They are as follows

Grouped data

The grouped data is the form of organization of the information while dealing with a very large store of values. Here, instead of taking all the values, data can be grouped into ranges. These rangers are grouped in such a way that it has specific widths and cover a range of values. Here, for example, the portrayal of age can be between 0 to 10, 10 to 20, and so on.

Ungrouped data

An ungrouped form of data sets is the form where the data sets are organized without being in a proper group. Each of the data sets is presented individually. Also, this type of representation is common when the data sets are relatively small.

Main components of the Frequency Table

There are few companies in a frequency table. They are as follows:

Class intervals

These are the parts in the table that represent the range of groups in which data is organized. This helps in simplifying the portrayal of data sets.

Frequency

This is the number of times a single value or class interval is covered in a dataset. This is listed in the frequency column. Information through frequency helps in understanding the pattern of data.

Cumulative frequency

Cumulative frequency is the total number of frequencies that are moved through the class intervals. It states from the first-class interval to the last line in the table. Also, it helps in progressively adding the frequencies of each interval. Moreover, it is helpful in providing overall distribution to the table.

Relative frequency

Relative frequency is helpful in expressing the proportion of the overall dataset. Generally, it is calculated by dividing the class interval by the total number of observations. Generally, it is denoted by a percentage mark. 

Types of Frequency Distribution

Talking of the frequency distribution, there are generally four types.

Ungrouped Frequency Distribution Table

In this type of frequency distribution, the number of observations made in each value is generally categorical. These are based on variables in this frequency.

Grouped Frequency Distributions Table

This form of frequency distribution table is based on the class interval of the variable. Here the class intervals are ordered based on groupings of the value of the variables. Moreover, this can be used in the distribution of the quantitative variables.

Relative Frequency Distribution Table

The proposition of observation of values or class interval is seen here in the frequency distribution table. This type of table is used in distributing any type of variable when one is interested in comparing the frequency with the number of observations.

Cumulative Frequency Distribution

In this type of distribution, the total sum of the frequencies is less or equal to the value of the class interval of the variable. This type of frequency can be used for ordinal or quantitative when one wants to understand the ways observation can fall below certain values. All in all, these are the types of distribution. With the needs of the data, the types of tables are used likewise.

Ways to Graph the Data

There are a few ways through which the frequency distribution can be presented on the graphs. They are as follows:

Pie Chart

A pie chart is a form of a graph that helps in portraying the relative frequency distribution table of any nominal variable. These charts are basically in the form of a circle. Moreover, it is divided into slices depending on the value of the data. This type of graph is best for showing and emphasizing a particular variable. Even this is used in portraying the overall composition of the decided variable. A major disadvantage of the pie chart is the inability to provide small differences in many frequencies. Hence, this is not advisable to seek in case of portraying smaller differences in any frequency table. In order to have an assignment solution on a pie chart, the students can search for ‘assignment help online’ on the internet and get help from our services.

Bar Chart

The bar chart is the form of a graph that shows the frequency in the form of categorical variables. Here the axis of the bar shows the data, and the axis shows the value. Each value is presented by the bar and the length or height of the bar shows the frequency. Choosing a bar chart is a good choice for comparing frequencies of various values. Also, it is easier to compare the heights of the bar as compared to the angels in any lie chart.

Histogram

This is another type of graph that shows the frequency distribution table values in the form of quantitative variables. Moreover, it also looks similar to the bar chart. The continuous variable here is grouped into classes of intervals similar to the grouped frequency table. The y-axis of the bar shows the frequencies, and the x-axis shows the integral classes. Each of the classes is held in a bar. Along with this, the height of the bar portrays the frequency of the interval class. The histogram is thus an effective description of many important characteristics of the variable.

Advantages of the Frequency Distribution Table

Frequency distribution tables have been used in many ways and in many styles. There are advantages as well to using these tables. They are as follows:

Faster Visualization of Data

Frequency tables can help in revealing the outliers. In addition, they also help in providing significant trends within the data set without much curious inspection. Here the frequency distribution table example can be teachers who would portray the datasets of the marks of the students in such a way that would help in revealing how he or she is doing in class.

Relative Abundance Visualization

Frequency distribution tables can help the researchers in going through and examining the abundance of the particular targeted data set. Relative abundance shows how much the data set is compromised. Furthermore, relative abundance is helpful in presenting the histogram as well. Examples can be the percentage of the students who scored a particular grade and portraying these grades can be helpful in conceptualizing the data without overthinking it.

Simplifying the Complex Data

The frequency distribution table helps in training the details of any information into much easier chunks of information. This helps in allowing the data to be understood properly and apprehending it in a way that would make it easy to look out for what is going on.

Revealing the Patterns of Data

By grouping the numbers in the data sets, one can find trends and manage the frequency with which they are to be followed.

Provides a Scope of Comparison

With the help of the frequency distribution table, one can easily check and understand how the different sets of numbers are more or less in their versions.

Proper Statistical Analysis

With the help of the table, the analysis of statistical data becomes easier. This is where the crunching becomes simpler and helps in finding the difference and the average. It is useful in managing large amounts of data.

Promotes the Presentation of the Data

The various forms of charts and graphs which are based on the prototype of the data on the frequency distribution table can be grouped in a proper way. In addition, it also helps in portraying clearly the result that has been found.

Conclusion

In the end, it can be understood that frequency distribution is an important part of organizing and understanding the data sets. Therefore, students who are into learning these statistical methods must be able to excel in this. There are also many assignments associated with it. In case of any hassle with assignments, students can contact ‘Do My Assignment’ services. This service provides reliable answers to the questions based on the frequency distribution table. The prices charged are minimal, and students can easily afford it. All the information related to the assignments must be communicated with the experts so that they can provide solutions on time.