RS Aggarwal Class 9 Solutions Chapter-17 Bar Graph, Histogram and Frequency Polygon

RS Aggarwal Solutions

RS Aggarwal Class 9 Solutions Chapter-17 Bar Graph, Histogram and Frequency Polygon

Class 9 RS Aggarwal Chapter-17 Bar Graph, Histogram and Frequency Polygon Solutions - Free PDF Download

Mathematics is a subject of numbers and statistics. Maths brings a bag full of crunching diplomatic topics, theories, and concepts. Therefore, the students require a lot of practice and hard work to conquer that mathematician’s throne. In our modern education mechanism, mathematics plays a critical role in framing the future of the youth. However, several students fail to climb the hill of complexity set up by the subjects. Students require to have a solid base of mathematics such that they do not struggle to grasp the formulas, theorems, and concepts. Specifically, class 9 students must prepare well for their boards in the upcoming year. For the students who struggle to find the best guide and study material to score well in the examination, Vedantu has come up with a customized RS Aggarwal class 9 chapter 17 solution to help the students.

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RS Aggarwal Class 9 Solutions Chapter 17 Statistics

Mathematics uses various patterns and shapes to deliver different formulas to structure logic and abstractions. Mathematics has widespread roots in natural science, social science, medicine, finance, and engineering. One of the essential parts of Mathematics is Statistics. Statistics are present as an efficient method to collect, analyze, and visually represent a specific data set. It plays an impactful role in significant scientific discoveries and prediction, analysis, and handling of data. The students often find RS Aggarwal class 9 chapter 17 solution, which defines the complexities of Statistics, to be puzzling. Therefore, to make geometry and statistics clear to the students, we will discuss Graphs, histograms, and Polygon Class 9.

Basics of Statistics

Data

It is defined as facts or figures that are numerical or otherwise collected for a specific purpose.
Primary data is data gathered from first-hand sources
Secondary data is data was gathered from a source that already had information on hand.
Ungrouped data is data in its most basic or unprocessed form. The observations are not divided into categories.
Observations are sorted into groups in grouped data.
Class Interval is the size of the class into which a particular data is divided.

Bar Graph

Bar graphs are visual representations of organized data in vertical or horizontal rectangular bars, with bar length proportional to data measure. The horizontal axis of the chart shows category data, while the vertical axis represents discrete data. The comparison between two discrete measured values is depicted by a bar graph. It's a representation of the axis that shows a comparison of two separate value categories. To depict particular variables, it is represented by uniform width bars placed with the axis at an identical spacing. The variable is depicted on the base axis, and the height of the bar represents the value. Let's take an example; let's say a student scored 50 in maths, 79 in English, 60 in Science. So, we can represent his overall performance through a bar graph. The base axis, i.e., the x-axis, depicts the student's subjects, while the other axis, i.e., the y-axis, represents his marks in different topics. This is a pictorial representation, which is more convenient to understand.

RS Aggarwal Bar Graph Histogram and Frequency

One of the most used graphs for displaying frequency distribution is the histogram. The frequency distribution, as we all know, determines how frequently each individual value appears in the data set. The histogram resembles the bar graph in appearance, however, there is a distinction between the two.

A histogram is a form of representation of specific data used in the case of continuous class intervals. It is similar to bar charts and simply represents figures identical to rectangles, with areas equal to the frequency of the given variables and width similar to the class intervals. Let's see how we can construct a histogram –
First, construct a horizontal line to denote the classes.
Now, draw even marks on the line corresponding to the class.
Now, label the marks and name the horizontal axis to prevent any confusion later.
Now construct a vertical line ending at the lowest class.
Again label and name the line.
Now, draw a rectangle on the baseline of heights equal to the frequency of the class.
A histogram is widely used in statistics and carries many concepts that few students struggle to understand. If the students are stuck with the histogram problem, they may refer to RS Aggrawal Bar Graph Histogram and Frequency.

Frequency Polygon

A frequency polygon is constructed when the midpoints of each rectangle in a histogram are connected by line segments. It is possible to draw without using a histogram. Midpoints of class intervals are required. Frequency polygon refers to a particular type of graph used to represent a specific set of data visually. A frequency polygon is drawn by optimizing the data and joining each class interval's midpoints with a line. The heights of these lines highlight the frequencies of the class. Students can initiate a frequency polygon formation from a histogram or calculate the intervals’ midpoints utilizing the frequency distribution table. To calculate the midpoints more precisely, students must add the upper and lower limits of the intervals' boundary values and then divide them by 2.
The midpoint of the polygon = ( Upper limit + Lower limit)/2
In some cases, students can use a histogram and a frequency polygon at the same time to mix the most accurate result or pictorial representation. Students may learn more about frequency polygon class 9 by consulting the RS Aggarwal Class 9 Maths chapter 17 solution.

Mean, Median, and Mode

The sum of all the values of all the observations divided by the total number of observations is the mean (or average) of a set of observations.
The median is the value of a set of observations that divides them into two equal portions. As a result, the median is the score that falls in the middle.
The mode is the value of an observation that happens the most frequently, i.e., an observation with the highest frequency.

RS Aggarwal Polygon Class 9 Chapter 17 Preparation Tips

Students must grab the best study material to understand the statistics highlighted in RS Aggarwal Class 9 Maths Chapter 17.
Students must get a perfect timetable that suits them and supplies the maximum time to revise the complex topics.
Students must concentrate on developing a base of understanding the concepts rather than jotting them down.
Students must practice various types of questions, participate in online examinations, and solve the past year’s question papers to explore more problems.
Students must understand and practice the graphing of linear equations
Students must know how to arrange data in a natural way. A chart's purpose is to make data easier to understand.

FAQs on RS Aggarwal Class 9 Solutions Chapter-17 Bar Graph, Histogram and Frequency Polygon

1. Why is Statistics Important in Mathematics?

Mathematics is a large field of study that encompasses almost all quantitative disciplines, but Statistics is a subset of it that is closely linked to Applied Mathematics. Statistics are limited in scope because it is solely concerned with physical data and its interpretation. Statistics is an efficient method to amalgamate, analyze, and pictorially represent a specific set of data. It plays a significant role in scientific discoveries and prediction, analysis, and handling of data. It enables an in-depth understanding of particular subjects and guides for analyzing information.

2. What are Graphs, and Mention Some Common Types of Graphs are there in Maths?

A graph is a structure consisting of a set of items in which some pairs of the objects are in some way "connected" in mathematics, and more specifically in graph theory. Each of the connected pairs of vertices is termed an edge, and the objects correspond to mathematical abstractions called vertices. The graph depicts a process of collection, analysis, operations, and presentation of information. A few common types of graphs are – bar graphs, like graphs, pie charts, histograms, Cartesian Graphs.

3. Why is Vedantu best for RS Aggarwal Solutions Class 9 Maths Chapter 17 Solutions?

Vedantu focuses on presenting the students with the best possible quality of education with efficiently designed study material. Therefore, the team of its expert teachers, under the monitoring of Vedantu, works hard to create unique and quality content for the students that assists them to dismantle complex topics with ease. This makes Vedantu one of the most trustworthy online platforms supplying the best solutions. Plus, all the resources available are free of cost. All this just adds to the Vedantu advantage.

4. Is Chapter - 17 of Class 9 Maths NCERT an easy Chapter?

Chapter 17 - Bar Graph, Histogram, and Frequency Polygon is a comparatively easier chapter to prepare for an exam. It is easier because graphs can swiftly display a big quantity of data in an easy-to-understand format without overwhelming people with numbers. It’s easier for a student to grasp information quickly when it includes visual representation. Sometimes, numbers can look intimidating. Histograms, frequency polygons, and graphs are easier to make and read at the same time. Hence, it is a very easy chapter that does not take a lot of time to cover.

5. What are Histograms?

A histogram is a graphical depiction of a continuous-classed grouped frequency distribution. It's an area diagram, and it's made up of rectangles with bases and intervals between class boundaries, and areas proportional to the frequency of the respective classes. The shape of the data distribution is checked using a histogram. A histogram is used to see if the process changes from one period to the next. When two or more processes are involved, this is used to see if the outcome is different.