Mastering Relative Frequency

Mathematics
Year 9
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A worksheet covering Relative Frequency for Year 9 students.

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Mastering Relative Frequency

Subject: MathematicsGrade: Year 9
Name:
Date:

Untitled Worksheet

Grade Year 9
A

Introduction

Review the key concept: Relative Frequency is the ratio of the number of times an event occurs to the total number of trials. It is often expressed as a fraction, decimal, or percentage.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A survey shows that out of 120 students, 30 prefer tea over coffee. Calculate the relative frequency of students who prefer tea.
[2 marks]
2.
In a class of 40 students, 10 students are absent on a particular day. What is the relative frequency of students present?
[2 marks]
3.
A die is rolled 60 times, and the number 4 appears 8 times. Find the relative frequency of rolling a 4.
[2 marks]
4.
A bag contains 20 red balls, 30 blue balls, and 50 green balls. What is the relative frequency of selecting a blue ball?
[2 marks]
5.
If 25 out of 200 trials result in success, what is the relative frequency of success?
[2 marks]
6.
A survey of 150 people shows that 45 like chocolate ice cream. What is the relative frequency of people who like chocolate?
[2 marks]
7.
A coin is flipped 100 times, and it lands on heads 55 times. Calculate the relative frequency of heads.
[2 marks]
8.
In a sample of 250 students, 60 are left-handed. What is the relative frequency of left-handed students?
[2 marks]
9.
A survey finds that out of 180 people, 54 prefer basketball over football. Calculate the relative frequency of people who prefer basketball.
[2 marks]
10.
A factory produces 200 units daily, with 10 defective units. Find the relative frequency of defective units.
[2 marks]
11.
Challenge: A survey indicates that 120 out of 300 people prefer online shopping. How would you interpret the relative frequency in terms of probability?
[4 marks]
12.
Real-world application: A company tests 500 products, and 25 are found defective. What is the relative frequency of defective products? How can this information be used to assess quality control?
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet