CAEC Mathematics Preparation Course: Data management and probability

Quiz tematico senza limite di tempo: 17 domande su Data management and probability, con una spiegazione dopo ogni risposta. Domande e risposte vengono mescolate ogni volta.

  • Corso
  • Canada
  • 100 domande
  • Verificato: 13 ottobre 2026
  • Verificato il 13 ottobre 2026
Inizia dalle lezioniCAEC Mathematics Preparation: Lessons: circa 360 minuti di lettura. Ogni domanda del test è trattata nelle lezioni.

Quiz tematico 6: Data management and probability

  1. Domanda 1 di 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
    Mostra la risposta

    Risposta: B. 39

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

  2. Domanda 2 di 17

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

    Risposta: A. 80

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

  3. Domanda 3 di 17

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

    Risposta: B. 9

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

  4. Domanda 4 di 17

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

    Risposta: 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. Domanda 5 di 17

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

    Risposta: B. 20 °C

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

  6. Domanda 6 di 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?
    Mostra la risposta

    Risposta: 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. Domanda 7 di 17

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

    Risposta: C. $7.00

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

  8. Domanda 8 di 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
    Mostra la risposta

    Risposta: D. 25%

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

  9. Domanda 9 di 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
    Mostra la risposta

    Risposta: B. 146.25

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

  10. Domanda 10 di 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?
    CategoriaShare of monthly take-home pay
    Housing35%
    Food15%
    Transportation12%
    Savings10%
    Altro28%
    Mostra la risposta

    Risposta: C. $570.00

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

  11. Domanda 11 di 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
    Mostra la risposta

    Risposta: 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. Domanda 12 di 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
    Mostra la risposta

    Risposta: A. 19

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

  13. Domanda 13 di 17

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

    Risposta: B. 1/2

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

  14. Domanda 14 di 17

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

    Risposta: 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. Domanda 15 di 17

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

    Risposta: A. 1/12

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

  16. Domanda 16 di 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?
    Mostra la risposta

    Risposta: A. 4%

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

  17. Domanda 17 di 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?
    Mostra la risposta

    Risposta: A. 2%

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

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