Data Representation Examples in Statistics

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Data Representation.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Statistics.

Concept Recap

Data representation is the process of organizing and displaying data using charts, graphs, or tables so that patterns, trends, and comparisons become easier to see and understand at a glance.

Raw data is like puzzle pieces scattered on a table - hard to make sense of. When you organize it into charts, graphs, or tables, the picture becomes clear. A bar chart of ice cream preferences instantly shows which flavor wins, while a list of 100 names wouldn't.

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: The right display makes patterns visible; the wrong display can hide them. Match your graph type to your data type.

Common stuck point: Students often choose the most familiar graph (bar chart) regardless of data type, instead of matching the display to the question.

Sense of Study hint: First, identify whether your data is categorical or numerical. Then choose the right display type: bar graphs for categories, line graphs for trends over time, and pictographs for simple counts. Finally, always label your axes, include a title, and use a consistent scale.

Worked Examples

Example 1

easy
A class recorded the number of pets owned by each student: 0, 1, 1, 2, 3, 1, 0, 2, 4, 1. Organise this data into a frequency table.

Solution

  1. 1
    Step 1: List the distinct values in order: 0, 1, 2, 3, 4.
  2. 2
    Step 2: Count how many times each value appears: 0 → 2, 1 → 4, 2 → 2, 3 → 1, 4 → 1.
  3. 3
    Step 3: Present in a table with columns 'Number of Pets' and 'Frequency'.

Answer

Frequency table: 0 pets → 2, 1 pet → 4, 2 pets → 2, 3 pets → 1, 4 pets → 1.
Organising raw data into a frequency table makes it easier to see patterns such as the most common value and the spread of the data.

Example 2

easy
Which type of graph would be most appropriate to display the favourite ice-cream flavours of 30 students: a bar graph, a line graph, or a scatter plot? Explain.

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
A student collected data on daily high temperatures (in °C) over two weeks. Should they use a bar graph or a line graph to display this data? Justify your answer.

Example 2

easy
A cafeteria records the number of sandwiches sold each day for six weeks. Which display would best show the overall trend over time: a line graph, a bar graph, or a pie chart? Explain.
← Back to Data Representation Practice Mode

Background Knowledge

These ideas may be useful before you work through the harder examples.

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