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    STAT2115

    Introduction to Statistics

    Progress0 / 24 done
    Topics24
    1Scope of Statistics
    2Descriptive and Inferential Statistics3Population, Sample, Parameter, and Statistic4Types of Data and Scales of Measurement5Frequency Distribution and Graphical Representation6Bar Chart, Pie Chart, and Histogram7Frequency Polygon, Frequency Curve, and Cumulative Frequency Polygon8Measures of Central Tendency9Quantiles10Absolute and Relative Measures of Dispersion11Moments, Skewness and Kurtosis12Basic Concepts of Probability
    13Multiplication Principle, Permutation and Combination14Probability Spaces and Laws of Probability15Conditional Probability and Bayes' Theorem16Discrete and Continuous Random Variables
    17Binomial, Poisson, and Hypergeometric18Uniform, Exponential, and Normal
    19Sample Design and Sampling Frame20Sampling and Non-Sampling Errors21Sampling Distributions for Mean and Proportion22Sampling Distributions for Difference of Means and Difference of Proportions23Overview of Hypothesis Testing24Overview of Regression Analysis
    2 min read
    Topic 6 of 24
    Topic Study Note Illustration
    06

    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.

    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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    Introduction to Statistics