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Data

Data can be of several types: data that you input into a computer program to get an output; it can also be statistics of a country's population. In fact, this information that you are reading at the moment can also be classified as data. Data in math can be any information or fact. It can be a number, an observation, an alphabet, or any collective knowledge about anything. 

1. What is Meant by Data?
2. Different Types of Data
3. Primary And Secondary Data
4. FAQs on Data

What is Meant by Data?

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining. For example, information gathered can be represented in the form of data as given below,

  • A set of numbers such as 1, 2, 3, 4, 5
  • The list of student names in a class
  • Physical attributes such as age, height, weight, etc.

You can go ahead and explore all important topics in Data by selecting the topics from this list below:

Data Handling Discrete Data
Pictograph Pie Chart
Line graph Bar Graph
Combinations Histogram

Data handling refers to the process of gathering, recording, and presenting information in a way that is helpful to others. Data is usually represented in the form of pictographs, bar graphs, pie charts, histograms, line graphs, etc. Below given are different ways to represent data:

  • Pictograph
  • Pie-Chart
  • Bar Graph
  • Line Graph
  • Histogram

Pictograph

A pictograph is a representation of data using different images or symbols." Pictographs in maths typically find application in concepts like data handling. They help in laying the foundation for the interpretation of data based on pictorial information.

For example, the pictograph given below depicts the data of the different types of pizzas that were ordered on a random day. 

Pictograph used for data handling

Pie-Chart

A pie chart is another type of graph that is used to visually display data in a circular graph. Pie charts are one of the most commonly used graphs for the representation of data using the attributes of circles, spheres, and angular data to represent real-world information. Pie charts are circular-shaped charts that record discrete data whereby pie represents the whole and the slices represent the parts of the whole.

For example, the pie chart given below depicts the data of the different kinds of desserts preferred by kids at model school. 

               pie charts application in data handling

Bar-Graph

The bar graph is a specific way of data representation using rectangular bars, where the length of each bar is proportional to the value the bar represents. Bar graphs, also referred to as are the pictorial representation of grouped data. Bar graphs are one of the examples of data handling that are an excellent tool when representing data that are independent of one another and don’t need to be in any specific order while being represented.

For example, the bar graph given below depicts the data of the number of employees in the different departments of Cmath Inc.

Bar graph used for data handling

Line-Graph

A line graph is a special type of graph used to display change over time as a series of data points connected by straight line segments on two axes. The line graph, also called a line chart, helps to determine the relationship between two sets of values, with one data set always being dependent on the other set.

They are helpful in demonstrating information factors and patterns unmistakably. Line diagrams can make future expectations about the consequences of information not yet recorded.

For example, the line graph given below depicts the data of the pass percentage of Grade 7 students in a scholarship exam from the year 2010-2016. 

Line graph used for data handling

Histogram

A histogram is defined as a graph with a set of rectangles with bases along with the intervals between class boundaries. Each rectangle depicts some sort of data and all the rectangles are adjacent. The heights of rectangles are proportional to corresponding frequencies of similar as well as for different classes. For example, the bar graph given below depicts the data of the preference of a particular sport among people. 

Histogram used for data handling

Different Types of Data

Dat can be grouped on the basis of the qualitative or quantitative aspect of the gathered information. Typically, data can be classified into different types as given below,

  • Qualitative Data
  • Quantitative Data

types of data

  • Qualitative Data - As the name itself suggests quality and quality means having uniqueness. Qualitative data is a type of data that can be observed and recorded. For example Gender, phone numbers, citizenship, etc. Qualitative Data is further classified as:

    1. Nominal Data - It is a type of data mostly used for naming something or labeling or in classification. It is also called "named data". For example gender, country, race, eye color, hair color, hairstyle, etc. An example is shown in the form of an image given below:

Set of different girl s hair styles and colors black, blue, blonde, red, brown Premium Vector

2. Ordinal Data -  It is a type of data that is named, ordered both, and a scale(range) is used. For example ranking in the class First, Second, Third. An example is shown in the form of an image given below:

Vector illustration of three kids with medals standing on winners pedestal. Premium Vector

  • Quantitative Data - As the name suggests it deals with quantity and quantity is related to numbers. It is also known as numeric data. For example the number of bananas in a dozen, the number of candies in a box, etc.
    Quantitative Data is further classified as:

    1. Discrete Data - This type of data takes values that can be counted such as counting the number of fruits on a tree, the number of students in a class, etc. An example is shown in the form of an image given below:

Count orange on the tree Premium Vector

2. Continuous Data - This type of data takes specific values that can be measured and fall under a specific range such as weight, length, temperature, speed, etc. An example is shown in the form of an image given below:

Height measure for little children Premium Vector

Primary And Secondary Data

Primary Data: Primary Data is a type of data that is gathered by the individual. For example, data recorded by a student in a lab experiment, teacher giving an oral test and writing the marks, letters, records, autobiographies, etc.

Secondary Data: Secondary data is a type of data that is gathered by someone else and used somewhere else. For example, Another teacher using the marks obtained in an oral test for evaluation, newspapers, encyclopedias, biographies, etc.

Primary and secondary data examples

Challenging Questions

  • Write something about yourself and tell what type of data you used while doing so.
  • When you go to school which means of transportation you use? Also, tell the type of data used.

Important Notes

  • The first step to collect data is to observe it.
  • Make sure under which category your data falls while recording.
  • It is important to make use of a combination of the types of data to improve any type of evaluation.
 
Solved Examples on Data

 

  1. Example 1: Charlie went to the supermarket with his mom to buy some fruits. He bought a dozen bananas, a pound of apples, and 500 ounces of grapes. What type of data can be used to observe what he purchased?

    Solution:

    The data shows that Charlie got some bananas, apples, and grapes. Each fruit has been measured as well. The type of data used here is Quantitative Data. ∴ Quantitative data is used.

  2. Example 2: One day while sitting with her friend Mia thought of playing a game "name, place animal or thing". Can you tell what type of data they are going to use while playing?

    Solution:

    The game that Mia is playing involves the name of places, animals, things all this type of data is unique. And we know the data which is unique comes under Qualitative Data. ∴ Qualitative data is used.

  3. Example 3: A teacher conducted an evaluation of her class based on their performance in different activities and gave scores on a scale ranging from 0-10. Which type of data the teacher is using to give them scores?

    Solution:

    As given in the questions the teacher is using a range of marks. So when there is a range used for sure the type of data used is Ordinal Data. ∴ Ordinal data is used

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Practice Questions on Data

 

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FAQs on Data

What is Data?

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things.

What is the Difference Between Data and Information?

The term data refers to the collection of certain facts that are quantitive in nature like height, number of children, etc. Information on the other hand is a form of data after being processed, arranged, and presented in a form that gives meaning to the data.

What are the Types of Graphical Representations?

There are numerous types of graphical representation for the data that are available. Some of the most extensively used graphical representations are :

  • Bar graph
  • Histogram
  • Pictograph
  • Scatter plot
  • Line graph
  • Area plot
  • Pie chart/ Circle chart

Is Age Categorical or Ordinal Data?

Age is both categorical and nominal data. Age, when used to depict certain order, comes under ordinal categorical data whereas age as an aspect without comparison based on the order of numerical data comes under nominal categorical data.

Is Birth Month Qualitative or Quantitative Data?

As there are 12 months exactly. It is qualitative data as here it is describing an attribute.

What Type of Data is Ranking?

The ranking is an ordinal type of data since it is arranged following a certain scale. Ordinal data is a type of data that is named, ordered both, and a scale(range) is used.

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