Strand D · Data & Probability

Data & Probability Practice — Ontario MPT Prep

Master data collection, visualization, central tendency, and probability for Grades 3–9. Free practice with step-by-step solutions.

What's Covered

D1 Data Collection & Organization

Designing surveys, organizing data in tables and charts, primary vs secondary data.

D2 Data Visualization

Reading and creating bar graphs, circle graphs, histograms, scatter plots, and stem-and-leaf plots.

D3 Central Tendency

Calculating and interpreting mean, median, and mode for data sets.

D4 Probability

Theoretical and experimental probability, tree diagrams, independent and dependent events.

D5 Data-Driven Predictions

Drawing conclusions, making inferences, identifying bias, and evaluating data reliability.

Grade Coverage

GradesTopics
Grades 3–4Tally charts, pictographs, bar graphs, simple probability (likely/unlikely)
Grades 5–6Double bar graphs, mean/median/mode introduction, probability as fractions
Grades 7–8Circle graphs, histograms, theoretical vs experimental probability, sampling
Grade 9Scatter plots, lines of best fit, two-variable data analysis, correlation

Data & Probability FAQ

What Data & Probability topics are on the MPT?
The MPT covers Strand D across Grades 3–9, including reading and creating graphs (bar, circle, histogram, scatter plot), calculating mean/median/mode, understanding probability as fractions and percents, and interpreting data to draw conclusions. Questions may ask you to analyze a graph or calculate probability from a scenario.
How are probability questions formatted on the MPT?
Probability questions on the MPT are typically multiple-choice and may present scenarios involving coins, dice, spinners, or real-world contexts. You may need to calculate theoretical probability, compare experimental results to theoretical predictions, or determine whether events are independent or dependent.
What's the difference between mean, median, and mode?
Mean is the average (sum divided by count), median is the middle value when data is ordered, and mode is the most frequent value. The MPT may ask you to calculate each, determine which measure best represents a data set, or explain how outliers affect the mean compared to the median.

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