6.2 Representing Data

• Statistical data is information gathered and used for analysis
• Frequency distribution tables summarize numerical data by dividing it into intervals
• What is relative frequency expressed as?

  Percentage
• Match the type of statistical data with its description:

  Numerical ↔️ Represents quantities that can be measured or counted

  Categorical ↔️ Represents characteristics or qualities divided into categories
• There are two main types of statistical data: numerical and categorical.


  True
• Frequency distribution tables divide data into class intervals.


  True
• A frequency distribution table summarizes data by showing its distribution across class intervals
• Frequency distribution tables must present intervals and frequencies in a clear table format.

  True
• Match the type of bar chart with its description:

  Simple Bar Chart ↔️ Each category has one bar

  Grouped Bar Chart ↔️ Compares categories within classes

  Stacked Bar Chart ↔️ Shows composition of categories
• Match the component of a line graph with its description:

  Axes ↔️ Horizontal: Time periods, Vertical: Values

  Points ↔️ Data points plotted at each time period

  Lines ↔️ Connect data points to show the trend
• Statistical data is information used for analysis and decision-making.


  True
• Steps to create a frequency distribution table

  1️⃣ Decide on appropriate class intervals

  2️⃣ Count the number of data points within each interval

  3️⃣ Record the frequency in the table
• Steps to create a frequency distribution table

  1️⃣ Choose class intervals

  2️⃣ Count frequencies

  3️⃣ Organize into a table
• The highest frequency in the example table is 4, which corresponds to the class interval 90-100
• Steps to construct a simple bar chart

  1️⃣ Draw axes

  2️⃣ Label categories along the x-axis

  3️⃣ Determine a scale for the y-axis

  4️⃣ Draw bars
• Match the favorite color with its percentage:

  Blue ↔️ 50%

  Green ↔️ 33.3%

  Red ↔️ 16.7%
• In a line graph, the x-axis typically represents time
• What is a disadvantage of using pie charts?

  Limited to categories totaling 100%
• What is the first step in creating a frequency distribution table?

  Decide on class intervals
• Numerical data represents qualities divided into categories.

  False
• What is the first step in creating a frequency distribution table?

  Choose class intervals
• In the example, the highest frequency is observed in the class interval 90-100
• To construct a simple bar chart, you label the categories along the x-axis
• In a pie chart, if a category represents 50% of the data, it occupies half of the circle
• Which data representation method is ideal for comparing categorical data?

  Bar charts
• What is an example of categorical data?

  Eye color
• A frequency distribution table allows you to visualize the distribution of numerical data across different intervals.


  True
• Using intervals of 10 for the given test scores, the frequency for the interval 50-59 is 3
• Bar charts are used to display categorical
• Pie charts show the relative size or proportion of each category in a whole.

  True
• Line graphs are used to display the relationship between two numerical variables.


  True
• What is an example of an altered scale in a misleading graph?

  Starting the y-axis at a value other than zero
• Starting the y-axis at 50 instead of 0 can make small differences appear larger.


  True
• Relative frequency is expressed as a percentage
• What is an example of categorical data?

  Eye color
• In a frequency distribution table, you count the number of data points falling within each interval
• Bar charts use rectangular bars to display categorical data.


  True
• Pie charts are used to display categorical data and show the relative size of each category.

  True
• What is the primary purpose of a line graph?

  Show trends over time
• Pie charts are useful for displaying proportions but can be difficult for comparing exact values