Data handling is the process of systematically collecting, organizing, analyzing, and presenting data to extract useful information and support decision-making. It involves ensuring the accuracy and integrity of data and processing it into a manageable form.
For studying this topic, we also focus on how data is collected or generated for our use from any source. This procedure involves the steps to acquire the data, clean it, and prepare it for analysis and study.
Important Terms in Data Handling
There are some terms used often in data handling to better understand and deal with data:
1) Data: The set of facts or figures obtained from observations or measurements.
2) Raw Data: Raw and unstructured data collected directly from the source and could require cleaning or formatting.
3) Range: The range is the difference between the largest and smallest value in a set of data. It provides a measure of spread or variability of the data.
4) Statistics: The branch of science that deals with the collection, organization, analysis, interpretation, and presentation of numerical data. It facilitates data-informed decisions.
Steps Involved in Data Handling
Data handling is a methodical process of handling and interpreting data properly.
Purpose: Define and state specifically the purpose or problem. This makes the data handling process dedicated to answering one specific question or resolving a unique problem.
Collection of Data: Collect data pertaining to the set purpose. The accuracy and quality of data gathered play a very important role in significant analysis.
Presentation of Data: Display the gathered data in a simple and easy-to-read manner. It can be in the form of tables, graphs, or marks, based on the complexity of the data.
Graphical Representation of Data: Employ visual aids such as graphs, histograms, and bar charts to represent the data. Graphical representation assists in the easy analysis of trends and patterns in the data.
Analyzing the Data: Scan the data carefully to derive useful information. Statistical techniques or other techniques of analysis are used to derive insights.
Conclusion/Inference: From the analysis, make conclusions or inferences to give a solution or response to the problem statement. This step helps in decision-making or subsequent actions.
Solved Examples
Example 1: In a survey conducted over a week, from Monday to Sunday, for two cities, Agra and Delhi, the temperatures of both cities were measured, and the obtained temperatures are represented as numbers.
Draw the Bar Graph for the given table in the question.
Solution:
The given table has two categories of data: one for the temperature in Agra and the other for the temperature in Delhi. Therefore, the graph can be drawn as a double-bar graph, which would look like the following
Example 2: In a theater, there are 3 plays with a different number of actors participating in each play. In Play 1, there are 9 actors; in Play 2, there are 3 fewer actors, and the number of actors in Play 3 is one less than in Play 1. Draw the pictograph for the information given and analyze at which point the stage will be most crowded..
Solution:
From the information given in the question, we can say that Play 1 has 9 actors, Play 2 has 6 actors, and Play 3 has 10 actors. Representing the actors in pictorial form:
Representing the actors in pictorial form as follows:
Therefore, we can conclude that Play 3 has the most crowded stage, as it has 10 actors performing on stage.
Example 3: In a weather report conducted over 5 consecutive weeks, it was noted that not all days were sunny during the spring season. The observation revealed that Week 1 had 4 sunny days, Week 2 had 5 sunny days, Week 3 had only 2 sunny days, Week 4 had sunny days throughout the entire week, and Week 5 had only 3 sunny days.
Pictograph for the number of sunny days in each week:
Solution:
Representing sunny days in pictorial form for better understanding,
Example 4: Calculating the Mode
Problem: Find the mode of the following data set: 7, 8, 7, 9, 10, 7, 8.
Solution:
Note:- If one number appears more frequently than others, it is the mode.
- Count the frequency of each number.
- 7 appears 3 times, 8 appears 2 times, 9 appears 1 time, and 10 appears 1 time.
- The mode is the number that appears most frequently.
- Mode = 7
Example 5: Determining the Range
Problem: Calculate the range of the following set of numbers: 12, 7, 15, 9, 14.
Solution:
- The range is the difference between the highest and lowest numbers.
- Highest number = 15
- Lowest number = 7
- Range = Highest - Lowest = 15 - 7 = 8
Practice Problems
- Draw a pictograph to represent the number of apples, oranges, and bananas sold in a fruit store: Apples (10), Oranges (15), Bananas (12).
- Create a vertical bar graph showing the number of books sold in January (100), February (120), March (90), and April (110).
- Draw a horizontal bar graph to represent the number of cars sold in five months: January (15), February (20), March (10), April (25), May (30).
- Represent the number of students in three classes (Class A: 20, Class B: 25, Class C: 30) using a double-bar graph.
- Draw a line graph for the temperature recorded over five days: Monday (22°C), Tuesday (25°C), Wednesday (27°C), Thursday (24°C), Friday (23°C).