Year 12 statistical sampling and data test to download as PDF

This Year 12 statistical sampling and data test lasts 60 minutes and is marked out of 20. It covers the whole chapter for pupils aged 16-17, and the full answers are on a separate page.

⏱️ Duration : 60 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Sampling
A college has 800 students: 300 in Year 12 and 500 in Year 13. A stratified sample of 80 is taken.
1. Find the number from each year. (2 marks)
2. Explain one advantage of stratified over opportunity sampling. (2 marks)
Question 2 – Mean and standard deviation
The table shows the number of goals scored in 20 matches.
Goals 0 1 2 3 4
Matches 3 6 7 3 1
1. Find the mean. (2 marks)
2. Find the standard deviation. (2 marks)
Question 3 – Outliers
\(Q_1=14\), \(Q_3=22\) for a data set with maximum 41 and minimum 3. Test for outliers using the 1.5 IQR rule.
Question 4 – Histogram
A histogram has a bar of width 5 and height 3.2 for the class 10-15 and a bar of width 10 and height 1.5 for 15-25. Find the frequency of each class and the total.
Question 5 – Problem: correlation and regression
The regression line of \(y\) (price in £) on \(x\) (age in years) for used laptops is \(y=620-85x\).
1. Interpret the gradient. (1 mark)
2. Estimate the price of a 3-year-old laptop. (1 mark)
3. Why can the line not be used for a 9-year-old laptop? (2 marks)

Goals	0	1	2	3	4
Matches	3	6	7	3	1

How to use this Year 12 statistical sampling and data test

First, revise with the statistical sampling and data lesson and the worksheet. Then sit the test in one go, with a timer set to 60 minutes. After that, mark your work with the statistical sampling and data test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 12 statistical sampling and data 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.

Statistical sampling and data – Year 12 A level maths test to download as PDF

Question 1 – Sampling

Question 2 – Mean and standard deviation

Question 3 – Outliers

Question 4 – Histogram

Question 5 – Problem: correlation and regression

How to use this Year 12 statistical sampling and data test

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