Ontario MPT overview

Ontario MPT: Data and probability

Reading and choosing graphs, mean, median, mode and range, sampling and bias, and the probability of simple and compound events.

  • 14 questions
  • Topic drill
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Data and probability · Question 1Score 0/0

A survey about school lunches asks only students in the chess club. What is the main problem?

Study reference: The Ontario Curriculum, Grades 1–8: Mathematics (2020) and Grade 9: Mathematics MTH1W (2021), Ch. 3 Data strand — Grades 3–8 strand D, Grade 9 strand D

All 14 questions in this test

Every question and its answer choices. The correct answers and explanations appear when you take the test above.

  1. A survey about school lunches asks only students in the chess club. What is the main problem?

    1. Chess club members cannot answer surveys
    2. The sample is not representative of all students
    3. The survey has too many questions
    4. Lunch is not a suitable survey topic
  2. A bar graph's vertical axis starts at 90 instead of 0. What effect can this have?

    1. Small differences look much larger
    2. The graph becomes more accurate
    3. The bars show percentages instead
    4. The data values change
  3. A spinner lands on blue 18 times in 60 spins. What is the experimental probability of blue?

    1. 0.3
    2. 0.18
    3. 0.42
    4. 0.6
  4. Find the mean of 4, 8, 6, 5 and 7.

    1. 7
    2. 5
    3. 6
    4. 30
  5. Which graph is best for showing how a class's heights are distributed across intervals such as 140–149 cm and 150–159 cm?

    1. A circle graph
    2. A pictograph of pets
    3. A line graph
    4. A histogram
  6. Shoe sizes in a class are 6, 7, 7, 8, 8, 8, 9. What is the mode?

    1. 7
    2. 8
    3. 7.6
    4. 9
  7. A fair six-sided die is rolled once. What is the probability of rolling a number less than 3?

    1. 1/6
    2. 1/2
    3. 2/3
    4. 1/3
  8. A fair die is rolled and a coin is tossed. How many outcomes are in the sample space?

    1. 12
    2. 2
    3. 6
    4. 8
  9. On a scatter plot, as hours of practice increase, the number of errors decreases. What relationship is shown?

    1. A causal proof
    2. A negative correlation
    3. A positive correlation
    4. No correlation
  10. A bag holds 4 red, 6 yellow and 10 green counters. What is the probability of drawing a yellow counter?

    1. 3/5
    2. 1/6
    3. 6/14
    4. 3/10
  11. A data set is 12, 14, 13, 15, 61. Which measure is most affected by the 61?

    1. The mode
    2. The mean
    3. The number of values
    4. The median
  12. Which is an example of qualitative data?

    1. Favourite season of each student
    2. Number of siblings each student has
    3. Time to run 100 m in seconds
    4. Height of each student in cm
  13. Two fair coins are tossed. What is the probability of getting exactly one head?

    1. 3/4
    2. 1/3
    3. 1/2
    4. 1/4
  14. Find the median of the even-sized set 3, 9, 4, 12, 7, 10.

    1. 8
    2. 7.5
    3. 9
    4. 7

Data and probability: key rules to remember

Our summary of what the official handbook says on this topic, in our own words. Read it before or after the practice questions above, then check the original chapter. Read the official chapter ↗

Ontario Curriculum, Data strand (Grades 3–8 D; Grade 9 D)

  • Qualitative vs quantitative data; sampling and bias; representative samples.
  • Graph choice: histogram (intervals), circle graph (parts of a whole), line graph (change over time), scatter plot (relationship).
  • Mean, median (average of the two middle values for an even count), mode; outliers affect the mean most.
  • Misleading graphs: axis not starting at zero exaggerates differences.
  • Correlation (positive/negative) does not prove cause.
  • Probability: theoretical = favourable ÷ total; experimental = observed ÷ trials; sample space by tree or table (die and coin = 12).

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