Year 9 statistics test to download as PDF

This Year 9 statistics test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 13-14, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Averages
Here are seven numbers: \(6,9,4,9,7,5,9\).
1. Find the mean. (1 mark)
2. Find the median. (1 mark)
3. Find the mode. (1 mark)
4. Find the range. (1 mark)
Question 2 – A frequency table
A class rated a film from 1 to 5 stars.
Rating 1 2 3 4 5
Frequency 2 3 5 6 4
1. Work out the total number of ratings and the total number of stars. (2 marks)
2. Find the mean rating. (1 mark)
3. Find the median rating. (1 mark)
Question 3 – Grouped data
The table shows the masses of 20 parcels.
Mass \(w\) (kg) \(0\lt w\le10\) \(10\lt w\le20\) \(20\lt w\le30\)
Frequency 5 8 7
1. Write the modal class. (1 mark)
2. Complete the midpoints (5, 15, 25) and calculate an estimate of the mean. (3 marks)
Question 4 – Problem: test marks
Five test marks have a mean of 14.
1. Find the total of the five marks. (1 mark)
2. A sixth test is taken and the mean rises to 15. Find the sixth mark. (2 marks)
3. If the sixth mark had been 8 instead, find the new mean. (1 mark)
Question 5 – Problem: two teams
Team X scores a mean of 3.2 goals per match with a range of 4. Team Y scores a mean of 3.0 goals per match with a range of 1.
1. Which team has the higher average? (1 mark)
2. Which team is more consistent? (1 mark)
3. Which team would you expect to win a match? Give a reason using both statistics. (2 marks)

Rating	1	2	3	4	5
Frequency	2	3	5	6	4

Mass \(w\) (kg)	\(0\lt w\le10\)	\(10\lt w\le20\)	\(20\lt w\le30\)
Frequency	5	8	7

How to use this Year 9 statistics test

First, revise with the statistics: averages and grouped data lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the statistics: averages and grouped data test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 9 statistics test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.