P1 Frequency of outcomes: tables and frequency trees Quiz: AQA Maths, Unit 5

The 20 questions

1. In a frequency tree, what is written at the end of each branch?

   • Total sample size
   • Probability sum
   • Percentage change
   • Frequency of outcome

2. A coin is tossed 40 times and lands on heads 22 times. What is the relative frequency of heads?

   • 0.45
   • 0.55
   • 1.8
   • 0.22

3. Which of these is a valid relative frequency after 20 trials?

   • -3/20
   • 27/20
   • 21/20 with no units
   • 7/20

4. What do second-stage frequencies branching from one first-stage node sum to?

   • Always 1
   • First-stage frequency
   • Total experiment frequency
   • Always 100

5. What value is calculated by dividing an outcome's frequency by total trials?

   • Relative frequency
   • Expected frequency
   • Theoretical probability
   • Cumulative frequency

6. How do you calculate the relative frequency of an outcome?

   • Frequency × trials
   • Frequency ÷ trials
   • Trials ÷ frequency
   • Frequency ÷ 100

7. What do the relative frequencies of all possible outcomes in an experiment sum to?

   • 10
   • 1
   • 0
   • 100

8. A fair dice is rolled 60 times and shows a 6 on 9 of the rolls. Which is the relative frequency of a 6?

   • 2/3
   • 1/6
   • 3/20
   • 9/51

9. In an experiment with 50 spins, red appears 18 times, blue 20 times and green 12 times. What is the relative frequency of green?

   • 0.24
   • 0.12
   • 0.6
   • 0.4

10. A frequency tree shows 30 of 80 students wear glasses and 12 of those 30 are girls. What fraction of all 80 students are girls who wear glasses?

    • 12/50
    • 12/80
    • 30/80
    • 12/30

11. In 200 trials, an outcome occurs 52 times. What is its relative frequency as a percentage?

    • 5.2%
    • 74%
    • 26%
    • 52%

12. A bag has four colours. Three have relative frequencies 0.3, 0.25 and 0.2. What is the relative frequency of the fourth colour?

    • 0.5
    • 0.25
    • 0.45
    • 0.75

13. In 150 trials, an event happens 45 times. Which is its relative frequency?

    • 3/10
    • 1/3
    • 4/15
    • 2/5

14. In a survey of 100 people, 60 chose tea and 25 of them took sugar. What is the relative frequency of tea with sugar as a decimal?

    • 0.42
    • 0.15
    • 0.25
    • 0.6

15. A coin is tossed 500 times and lands on heads 240 times. What is the relative frequency of tails as a percentage?

    • 260%
    • 48%
    • 24%
    • 52%

16. A dice is rolled 120 times and an even number appears 70 times. What is the relative frequency of odd numbers?

    • 5/12
    • 50/70
    • 7/12
    • 7/120

17. In 90 spins, the relative frequency of red is 0.4. How many times did red come up?

    • 40
    • 22
    • 36
    • 45

18. An outcome has relative frequency 0.35 after 60 trials. How many times did it occur?

    • 17
    • 24
    • 21
    • 18

19. A frequency tree has 140 people, 56 in group A, and 14 of group A answer yes. What is the relative frequency of group A and yes, out of all 140?

    • 0.4
    • 0.14
    • 0.25
    • 0.1

20. What do the frequencies on branches branching from a single node in a frequency tree add up to?

    • Grand total
    • 1
    • 100%
    • Node's total frequency

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