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Statistics

Introduction of Statistics

Type of Graphs

1. Bar Graph (Bar Chart)

  • Purpose: Compare categories of data.

  • Data Type: Categorical or discrete numerical

  • Description: Bars are used to show the size or frequency of each category.

  • Example:

    • Number of students in different majors

    • Sales per product category

Example: Favorite Fruit Survey

Fruit Number of People
Apple 12
Banana 9
Orange 7
Mango 5

Use a bar graph to compare the popularity of each fruit.

2. Line Graph

  • Purpose: Show trends over time.

  • Data Type: Continuous numerical data (especially over time)

  • Description: Points are connected by lines to show changes over intervals.

  • Example:

    • Temperature changes throughout the week

    • Stock prices over months

Example: Monthly Sales (£ in thousands)

Month Sales
Jan 22
Feb 25
Mar 30
Apr 28
May 35

Use a line graph to show the trend of sales over time.

3. Histogram

  • Purpose: Show the distribution of a numerical dataset.

  • Data Type: Continuous numerical

  • Description: Like a bar graph, but bars touch. Used to group values into intervals (bins).

  • Example:

    • Heights of people in a group

    • Exam scores distribution

Example: Test Scores of 20 Students

Score Range Frequency
40–49 2
50–59 5
60–69 8
70–79 3
80–89 2

 Use a histogram to show how scores are distributed.

Graph types-2

4. Pie Chart

  • Purpose: Show parts of a whole as percentages.

  • Data Type: Categorical

  • Description: A circle divided into slices representing proportions.

  • Example:

    • Market share of companies

    • Budget spending breakdown

Example: Time Spent on Daily Activities

Activity Hours
Sleep 8
Work 9
Exercise 2
Leisure 3
Others 2

Use a pie chart to show what percentage of the day is spent on each activity.

5. Box Plot (Box-and-Whisker Plot)

  • Purpose: Show spread, median, and outliers in a dataset.

  • Data Type: Numerical

  • Description: Shows minimum, Q1, median, Q3, and maximum.

  • Example:

    • Comparing test scores across different classes

    • Income distributions

Example: Heights (cm) of Two Groups

Group A Group B
160 170
165 172
162 169
158 174
164 175

 

 

Use a box plot to compare the spread and central tendency of both groups.

6. Dot Plot

  • Purpose: Show frequency of small numerical datasets.

  • Data Type: Discrete numerical

  • Description: Dots represent data points above a number line.

  • Example:

    • Number of pets owned by students

    • Daily absences over a week

 Example: Number of Pets Owned by Students

Number of Pets Frequency
0 3
1 5
2 6
3 4
4 2

 Use a dot plot to show how many students own how many pets.

 

 

Graph types-3

7. Scatter Plot

  • Purpose: Show the relationship (correlation) between two variables.

  • Data Type: Two numerical variables

  • Description: Each point shows one observation for two variables (x, y).

  • Example:

    • Height vs. weight

    • Hours studied vs. test score

Example: Hours Studied vs. Test Score

Hours Studied Test Score
1 52
2 55
3 60
4 68
5 75
6 80

Use a scatter plot to explore the relationship between studying and scores.

Summary Table

Graph Type Data Type Best For Example
Bar Graph Categorical Comparing categories Favorite fruit of students
Line Graph Numerical (over time) Showing trends Monthly sales over a year
Histogram Continuous numerical Distribution of data Ages of participants
Pie Chart Categorical Proportions Department budget allocations
Box Plot Numerical Spread and outliers Salaries in different cities
Dot Plot Discrete numerical Small data distributions Number of siblings per student
Scatter Plot Two numerical values Correlation between variables Height vs. weight

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