Year 11 charts, averages and cumulative frequency test to download as PDF

This Year 11 charts, averages and cumulative frequency test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 15-16, and the full answers are on a separate page.

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

Mark/20

Question 1 – Averages
The number of goals scored by a team in 9 matches was: 2, 0, 1, 3, 1, 4, 1, 0, 2.
1. Find the mode, the median and the range. (3 marks)
2. Work out the mean. (1 mark)
Question 2 – Frequency table
A shop recorded how many items 25 customers bought.
Items 1 2 3 4 5
Customers 6 8 5 4 2
1. Work out the mean number of items. (3 marks)
2. Find the median. (1 mark)
Question 3 – Grouped data
The table shows the masses of 40 parcels.
Mass, \(m\) (kg) \(0\lt m\le2\) \(2\lt m\le4\) \(4\lt m\le6\) \(6\lt m\le10\)
Frequency 8 14 12 6
1. Write down the modal class. (1 mark)
2. Work out an estimate of the mean mass. (3 marks)
Question 4 – Histogram (Higher)
The table shows the ages of people in a choir.
Age, \(a\) (years) \(10\lt a\le20\) \(20\lt a\le40\) \(40\lt a\le70\)
Frequency 12 30 45
1. Work out the frequency density for each class. (3 marks)
2. Estimate how many people are aged between 30 and 50. (1 mark)
Question 5 – Problem: cumulative frequency (Higher)
The cumulative frequency of the heights of 60 plants is: up to 10 cm: 4, up to 20 cm: 15, up to 30 cm: 40, up to 40 cm: 56, up to 50 cm: 60.
1. Estimate the median height. (2 marks)
2. Estimate the number of plants taller than 35 cm. (2 marks)

Items	1	2	3	4	5
Customers	6	8	5	4	2

Mass, \(m\) (kg)	\(0\lt m\le2\)	\(2\lt m\le4\)	\(4\lt m\le6\)	\(6\lt m\le10\)
Frequency	8	14	12	6

Age, \(a\) (years)	\(10\lt a\le20\)	\(20\lt a\le40\)	\(40\lt a\le70\)
Frequency	12	30	45

How to use this Year 11 charts, averages and cumulative frequency test

First, revise with the charts, averages and cumulative frequency 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 charts, averages and cumulative frequency test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 11 charts, averages and cumulative frequency 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.

Charts, averages and cumulative frequency – Year 11 GCSE maths test to download as PDF

Question 1 – Averages

Question 2 – Frequency table

Question 3 – Grouped data

Question 4 – Histogram (Higher)

Question 5 – Problem: cumulative frequency (Higher)

How to use this Year 11 charts, averages and cumulative frequency test

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