CAEC Mathematics Preparation Course: Data management and probability

Quiz thématique sans limite de temps : 17 questions sur Data management and probability, avec une explication après chaque réponse. Les questions et les réponses sont mélangées à chaque fois.

  • Formation
  • Canada
  • 100 questions
  • Vérifié le 13 octobre 2026
  • Vérifié (faits) le 13 octobre 2026
Commencez par les leçonsCAEC Mathematics Preparation: Lessons : environ 360 minutes de lecture. Chaque question du test est traitée dans les leçons.

Quiz thématique 6 : Data management and probability

  1. Question 1 sur 17

    The table shows the hours one employee worked last week. How many hours did they work in total?
    DayHours worked
    Monday7.5
    Tuesday8
    Wednesday6
    Thursday9.5
    Friday8
    Voir la réponse

    Réponse: B. 39

    Add all five days: 7.5 + 8 + 6 + 9.5 + 8 = 39 hours.

  2. Question 2 sur 17

    A learner's practice scores are 72, 85, 90, 64 and 89. What is the mean score?
    Voir la réponse

    Réponse: A. 80

    Mean = total ÷ number of values = 400 ÷ 5 = 80.

  3. Question 3 sur 17

    A store sold shoes in these sizes today: 8, 9, 9, 10, 9, 11, 8, 9, 10. What is the mode?
    Voir la réponse

    Réponse: B. 9

    The mode is the value that appears most often. Size 9 appears 4 times.

  4. Question 4 sur 17

    Six deliveries took 12, 15, 9, 20, 18 and 11 minutes. What is the median time?
    Voir la réponse

    Réponse: C. 13.5 minutes

    Sort first: 9, 11, 12, 15, 18, 20. With an even count, the median is the mean of the middle two: (12 + 15) ÷ 2 = 13.5.

  5. Question 5 sur 17

    The low temperatures for five days were −12 °C, −5 °C, 3 °C, 8 °C and −2 °C. What is the range?
    Voir la réponse

    Réponse: B. 20 °C

    Range = highest − lowest = 8 − (−12) = 8 + 12 = 20 °C.

  6. Question 6 sur 17

    Five homes on a street sold for $410,000, $425,000, $430,000, $445,000 and $1,900,000. Which measure best shows a typical price?
    Voir la réponse

    Réponse: A. The median

    The $1,900,000 sale is an outlier that pulls the mean up. The median ($430,000) is not affected by it.

  7. Question 7 sur 17

    Five workers earn $16, $17, $17, $18 and $52 per hour. By how much is the mean wage higher than the median wage?
    Voir la réponse

    Réponse: C. $7.00

    Mean = 120 ÷ 5 = $24. Median = $17. The outlier ($52) makes the mean $7.00 higher.

  8. Question 8 sur 17

    The table shows a security company's service calls. What was the percent increase from January to February?
    MonthService calls
    January120
    February150
    March135
    April180
    Voir la réponse

    Réponse: D. 25%

    Change = 150 − 120 = 30. Percent increase = 30 ÷ 120 × 100 = 25%. Always divide by the starting value.

  9. Question 9 sur 17

    The table shows a security company's service calls. What was the mean number of calls per month?
    MonthService calls
    January120
    February150
    March135
    April180
    Voir la réponse

    Réponse: B. 146.25

    Total = 120 + 150 + 135 + 180 = 585. Mean = 585 ÷ 4 = 146.25 calls.

  10. Question 10 sur 17

    A circle graph of a household budget is shown as this table. Take-home pay is $3,800 a month. How much goes to food?
    CatégorieShare of monthly take-home pay
    Housing35%
    Food15%
    Transportation12%
    Savings10%
    Autres28%
    Voir la réponse

    Réponse: C. $570.00

    Food is 15%: 0.15 × $3,800 = $570.00.

  11. Question 11 sur 17

    The table shows hours studied and test scores for six learners. What relationship does the data show?
    LearnerHours studiedScore (%)
    A252
    B461
    C566
    D774
    E983
    F1088
    Voir la réponse

    Réponse: C. A positive relationship: more study hours go with higher scores

    As hours go up, scores also go up. On a scatterplot the points would rise from left to right, which is a positive relationship.

  12. Question 12 sur 17

    A histogram of employee ages is shown as this table. How many employees are 30 or older?
    Age groupNumber of employees
    20–296
    30–399
    40–497
    50–593
    Voir la réponse

    Réponse: A. 19

    Add the groups from 30 up: 9 + 7 + 3 = 19.

  13. Question 13 sur 17

    A bag holds 3 red, 5 blue and 2 green marbles. You pick one without looking. What is the probability it is blue?
    Voir la réponse

    Réponse: B. 1/2

    Probability = favourable ÷ total = 5 ÷ 10 = 1/2.

  14. Question 14 sur 17

    You roll a fair six-sided die once. What is the probability of rolling a 2 or a 5?
    Voir la réponse

    Réponse: C. 1/3

    You cannot roll both at once, so the events are mutually exclusive. Add: 1/6 + 1/6 = 2/6 = 1/3.

  15. Question 15 sur 17

    You flip a coin and roll a six-sided die. What is the probability of getting heads and a 6?
    Voir la réponse

    Réponse: A. 1/12

    The events are independent, so multiply: 1/2 × 1/6 = 1/12.

  16. Question 16 sur 17

    A bus is late on 20% of days. Each day is independent. What is the probability it is late on both Monday and Tuesday?
    Voir la réponse

    Réponse: A. 4%

    Independent events: multiply. 0.20 × 0.20 = 0.04, which is 4%.

  17. Question 17 sur 17

    A raffle sells 500 tickets and draws one winning ticket. You buy 4 tickets and your friend buys 6. What is the probability that one of you wins?
    Voir la réponse

    Réponse: A. 2%

    Only one ticket wins, so the events are mutually exclusive. Add: 4/500 + 6/500 = 10/500 = 2%.

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