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    Introduction to Statistics
    STAT2115
    Progress0 / 24 topics
    Topics
    1. Scope of Statistics2. Introduction to Basic Concepts of Statistics: Descriptive and Inferential Statistics3. Population, Sample, Parameter, and Statistic4. Types of Data and Scales of Measurement5. Frequency Distribution and Graphical Representation6. Bar Chart, Pie Chart, and Histogram7. Frequency Polygon, Frequency Curve, and Cumulative Frequency Polygon8. Measures of Central Tendency9. Quantiles10. Absolute and Relative Measures of Dispersion11. Moments, Skewness and Kurtosis12. Basic Concepts of Probability13. Counting Rules: Multiplication Principle, Permutation and Combination14. Probability Spaces and Laws of Probability15. Conditional Probability and Bayes' Theorem16. Discrete and Continuous Random Variables17. Probability Distributions: Binomial, Poisson, and Hypergeometric18. Probability Distributions: Uniform, Exponential, and Normal19. Overview of Sampling: Sample Design and Sampling Frame20. Sampling and Non-Sampling Errors21. Sampling Distributions for Mean and Proportion22. Sampling Distributions for Difference of Means and Difference of Proportions23. Overview of Hypothesis Testing24. Overview of Regression Analysis
    STAT2115›Bar Chart, Pie Chart, and Histogram
    Introduction to StatisticsTopic 6 of 24

    Bar Chart, Pie Chart, and Histogram

    2 minread
    334words
    Beginnerlevel

    Bar Chart, Pie Chart, and Histogram

    These are three common methods of graphical representation of data. They help present information visually, making it easier to interpret and compare.


    1. Bar Chart

    A Bar Chart (or Bar Graph) is used to represent categorical or qualitative data.

    Features

    • Consists of rectangular bars.
    • Bars are separated by gaps (spaces).
    • Height (or length) of each bar represents the frequency or value of a category.
    • Useful for comparing different groups or categories.

    Types of Bar Charts

    • Simple Bar Chart
    • Multiple Bar Chart
    • Component (Stacked) Bar Chart

    Examples

    • Number of students in different classes
    • Sales in different regions
    • Favorite sports of students

    2. Pie Chart

    A Pie Chart is a circular chart divided into slices or sectors to represent parts of a whole.

    Features

    • Total value of the data is represented as 360°.
    • Each sector’s angle is proportional to its percentage in the total.
    • Best for showing percentage distribution or proportion.

    Formula for Sector Angle

    Sector Angle=(ValueTotal)×360∘\text{Sector Angle} = \left( \frac{\text{Value}}{\text{Total}} \right) \times 360^\circSector Angle=(TotalValue​)×360∘

    Examples

    • Budget allocation
    • Market share of companies
    • Population distribution

    3. Histogram

    A Histogram is used for continuous (quantitative) data and is based on grouped frequency distribution.

    Features

    • Consists of adjacent (touching) rectangular bars.
    • Each bar represents a class interval.
    • Height of the bar = frequency of the class interval.
    • Shows the distribution or shape of the data (e.g., normal, skewed).

    When to Use Histogram

    • Height distribution of students
    • Weight distribution
    • Marks in exams (grouped data)

    Difference Between Bar Chart, Pie Chart, and Histogram

    Feature Bar Chart Pie Chart Histogram
    Data Type Categorical Proportion of whole Continuous
    Gaps Yes Not applicable No
    Shape Bars Circle with sectors Bars (touching)
    Use Comparison Percentage distribution Distribution shape

    Conclusion

    • Bar Chart → compares categories
    • Pie Chart → shows parts of a whole
    • Histogram → shows frequency distribution of continuous data

    Previous topic 5
    Frequency Distribution and Graphical Representation
    Next topic 7
    Frequency Polygon, Frequency Curve, and Cumulative Frequency Polygon

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      Reading Stats
      Est. reading time2 min
      Word count334
      Code examples0
      DifficultyBeginner