Graphs And Statistics, Study notes of Mathematics

These notes provide an introduction to Data and Statistics, covering how to visualize facts through various types of graphs (Line, Bar, Pie, and Pictograph). They also explain the basic "measures of central tendency"—Mean, Median, and Mode—used to analyze and interpret data sets.

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2025/2026

Available from 04/04/2026

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Graphs
Introduction to Data & Statistics
Data: A collection of facts, such as numbers, measurements, or
observations.
Statistics: The science of collecting, organizing, interpreting, and
analyzing data.
Graphs: Visual tools used to display statistics and make data easier to
understand.
Types of Statistical Diagrams
Line Graph: Used to show trends or changes over time.
Example: Tracking the number of movies watched per year or
cookie sales per day.
Bar Graph: Uses rectangular bars to compare different categories of
data.
Example: Comparing the number of students who prefer
different types of fruit.
Pie Chart: A circular chart divided into sectors to show numerical
proportions (parts of a whole).
Example: Showing the percentage of a budget spent on
different expenses.
Pictograph: Uses pictures or symbols to represent data.
Example: Using apple icons to represent the amount of fruit
sold.
Key Statistical Measures
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Graphs

Introduction to Data & Statistics Data : A collection of facts, such as numbers, measurements, or observations. Statistics : The science of collecting, organizing, interpreting, and analyzing data. Graphs : Visual tools used to display statistics and make data easier to understand. Types of Statistical Diagrams Line Graph : Used to show trends or changes over time. Example : Tracking the number of movies watched per year or cookie sales per day. Bar Graph : Uses rectangular bars to compare different categories of data. Example : Comparing the number of students who prefer different types of fruit. Pie Chart : A circular chart divided into sectors to show numerical proportions (parts of a whole). Example : Showing the percentage of a budget spent on different expenses. Pictograph : Uses pictures or symbols to represent data. Example : Using apple icons to represent the amount of fruit sold. Key Statistical Measures

These measures help describe the "center" of a data set: Mean (Average) : The sum of all values divided by the total number of values. Formula : Sum of all values / Number of Values Median : The middle value in a data set when the numbers are ordered from least to greatest. If there is an even number of values, it is the average of the two middle numbers. Mode : The value that appears most frequently in a data set. A data set can have one mode, more than one mode, or no mode at all. Practical Application Example To find these measures for a set of test scores (e.g., 82, 66, 70, 59, 90...): Mean : Add all scores and divide by the total count (20). Median : Line the 20 scores up in order and find the average of the 10th and 11th scores.