AQA•GCSE•Mathematics•Statistics
Frequency polygons
AQA GCSE Mathematics practice questions with step-by-step solutions
Start Practicing Now
Generate unlimited Frequency polygons questions. Choose your difficulty level, get instant feedback, and master this topic.
Unlimited questionsDetailed solutionsAQA exam style
Sample Questions
Try before you startPreview AQA GCSE style questions on Frequency polygons. Click "Show Solution" to see the step-by-step answer.
EasyQuestion 1
[3 marks]The following data represents the ages of a group of students: 10, 12, 10, 14, 16, 12, 14, 15, 16, 18. Create a frequency table with class intervals of 10-12, 13-15, and 16-18. What is the frequency for the class interval 13-15?
Solution for Question 1
MediumQuestion 2
[4 marks]A frequency table shows the following data for the scores of students in a test:
| Score Interval | Frequency |
|----------------|-----------|
| 0 - 20 | 5 |
| 21 - 40 | 10 |
| 41 - 60 | 8 |
| 61 - 80 | 7 |
Draw the frequency polygon for the data provided. What can you infer from the graph about the test scores?
Solution for Question 2
HardQuestion 3
[6 marks]A class of 30 students took a mathematics test, and their scores are summarised in the following table:
| Score Interval | Frequency |
|----------------|-----------|
| 0 - 10 | 2 |
| 11 - 20 | 3 |
| 21 - 30 | 8 |
| 31 - 40 | 7 |
| 41 - 50 | 10 |
(a) Calculate the cumulative frequency for each class interval.
(b) Draw the frequency polygon for the data.
(c) Based on the polygon, determine the range of scores where most students scored.
Solution for Question 3
Want more questions like these?
Generate Unlimited QuestionsAbout Frequency polygons in AQA GCSE
Frequency polygons are a graphical representation of the distribution of a dataset, commonly used in statistics. They are formed by plotting points corresponding to the midpoints of class intervals against their respective frequencies and connecting these points with straight lines. This method provides a visual interpretation of data that allows for easy comparison between different sets of data and can highlight trends and patterns that might not otherwise be obvious from raw data.
Understanding frequency polygons is crucial for GCSE Mathematics as it forms part of the statistics curriculum, which equips students with the skills necessary to analyse and interpret data effectively. A frequency polygon is particularly beneficial when comparing two or more datasets, as it allows for a clear visual representation of differences and similarities. Key concepts related to frequency polygons include midpoints, class intervals, and cumulative frequency, all of which are essential for constructing the graph accurately.
In UK examinations, questions regarding frequency polygons may require students to interpret given data, construct frequency polygons from a frequency table, or analyse graphs based on frequency polygons. Familiarity with the process of deriving midpoints and calculating frequencies is essential, as these skills are often tested. Additionally, students may encounter questions that ask them to compare frequency polygons or describe the distribution of data represented in the polygons.
In summary, mastering frequency polygons not only aids in achieving a good grade in GCSE Mathematics but also fosters essential analytical skills that are applicable in various real-world contexts.
What you'll practice
Exam-style questions matching the AQA specification, from basic to challenging
How it works
AI generates unique questions each time, with full worked solutions and mark schemes