Worksheet library · GCSE

GCSE Statistics Exam Questions by Topic

Practise GCSE Statistics one topic at a time with original Edexcel and AQA-style questions. The 97 topic sets below contain 1411 printable pages, with the mark scheme beside the questions so you can check the method before moving on.

EdexcelAQA

How to practise exam questions by topic

  1. Choose the topic that cost marks in classwork or a past paper. Try the questions without notes so the first attempt shows what the student can actually recall.
  2. Use the mark scheme to compare the method as well as the final answer. For written subjects, check that each credited point is stated clearly; for calculations, identify the first step that went wrong.
  3. Revisit the same topic after a gap, then mix it into a full paper. Topic practice repairs one weakness at a time, while a timed paper checks whether the method can still be recognised among other questions.
See the method: Data Cleaning and Outliers (Foundation)

A nurse records the weights (kg) of 8 patients: 62, 65, 71, 68, 640, 70, 66, 69. (a) Identify the outlier. (b) Suggest a likely explanation. (c) Calculate the mean weight with the outlier removed.

  1. Compare each value with the rest: 640 kg is far larger than all the other weights (62 to 71 kg), so 640 is the outlier.
  2. A likely explanation is a data entry error, for example the decimal point was missed and the true value was 64.0 kg.
  3. Remove the outlier, leaving 7 values: 62, 65, 71, 68, 70, 66, 69.
  4. Sum the remaining values: 62 + 65 + 71 + 68 + 70 + 66 + 69 = 471.
  5. Divide by the number of values: 471 divided by 7 = 67.285714...
  6. Final answer: the outlier is 640 kg, likely a data entry error, and the mean weight of the remaining 7 patients is 67.3 kg (1 dp).
5.1 Risk (Foundation)12p + answers · 85 marks · PDF
3.1 Skewness by Inspection11p + answers · 72 marks · PDF
3.2 Percentiles12p + answers · 82 marks · PDF
6.1 Crude Rate and Rates of Change11p + answers · 76 marks · PDF
4.2 Spearman's Rank Interpretation12p + answers · 61 marks · PDF
5.2 Conditional Probability (Foundation)12p + answers · 80 marks · PDF
1.2 Estimating from Samples (Foundation)11p + answers · 72 marks · PDF
2.1 Spreadsheets and ICT (Foundation)10p + answers · 60 marks · PDF
1.3 Stratified Sampling (Foundation)11p + answers · 79 marks · PDF
1.4 Pilot Surveys (Foundation)8p + answers · 59 marks · PDF
2.3 Data Cleaning and Outliers (Higher)13p + answers · 95 marks · PDF
4.3 Correlation and Causation (Higher)13p + answers · 80 marks · PDF
5.3 Risk (Higher)12p + answers · 91 marks · PDF
3.3 Standard Deviation11p + answers · 102 marks · PDF
3.4 Standardised Scores13p + answers · 85 marks · PDF
7.1 The Normal Distribution11p + answers · 67 marks · PDF
7.2 The Binomial Distribution11p + answers · 98 marks · PDF
3.5 Quality Assurance and Control Charts13p + answers · 79 marks · PDF
4.4 Spearman's Rank Correlation14p + answers · 104 marks · PDF
2.4 Spreadsheets and ICT (Higher)12p + answers · 69 marks · PDF
4.5 Regression and the PMCC14p + answers · 80 marks · PDF
1.5 Stratified Sampling (Higher)14p + answers · 97 marks · PDF
1.6 Capture Recapture13p + answers · 86 marks · PDF
6.2 Crude and Standardised Rates12p + answers · 81 marks · PDF
5.4 Conditional Probability (Higher)14p + answers · 105 marks · PDF
2.5 Histograms and Frequency Density15p + answers · 102 marks · PDF
1.7 Estimating from Samples (Higher)12p + answers · 78 marks · PDF
3.7 Skewness13p + answers · 89 marks · PDF
3.8 Weighted and Geometric Mean13p + answers · 84 marks · PDF
1.8 Pilot Surveys (Higher)10p + answers · 76 marks · PDF
2.8 Recognising Misleading Graphs (Higher)17p + answers · 101 marks · PDF
5.5 The General Addition Law12p + answers · 80 marks · PDF
3.9 Mean Median Mode and Range10p + answers · 77 marks · PDF
1.9 The Statistical Enquiry Cycle8p + answers · 62 marks · PDF
3.10 Averages from a Frequency Table11p + answers · 80 marks · PDF
1.10 Types of Data17p + answers · 119 marks · PDF
3.11 Estimated Mean from Grouped Data14p + answers · 76 marks · PDF
1.11 Sampling Methods11p + answers · 79 marks · PDF
1.12 Collecting Data9p + answers · 65 marks · PDF
3.12 Comparing Data Sets15p + answers · 103 marks · PDF
3.13 Combined Mean8p + answers · 83 marks · PDF
1.14 Experimental Design10p + answers · 68 marks · PDF
3.14 Median Quartiles and IQR12p + answers · 67 marks · PDF
6.4 Index Numbers14p + answers · 92 marks · PDF
2.9 Frequency Tables and Tally Charts11p + answers · 76 marks · PDF
4.6 Time Series and Moving Averages12p + answers · 68 marks · PDF
2.10 Grouped Frequency Tables13p + answers · 64 marks · PDF
2.11 Pictograms15p + answers · 75 marks · PDF
2.12 Bar and Composite Bar Charts13p + answers · 77 marks · PDF
5.7 Mutually Exclusive Events12p + answers · 72 marks · PDF
2.13 Pie Charts15p + answers · 66 marks · PDF
5.8 Sample Space Diagrams14p + answers · 99 marks · PDF
5.9 Relative and Expected Frequency14p + answers · 80 marks · PDF
2.14 Stem and Leaf Diagrams13p + answers · 68 marks · PDF
2.15 Histograms11p + answers · 67 marks · PDF
5.10 Venn Diagrams17p + answers · 90 marks · PDF
2.16 Frequency Polygons16p + answers · 72 marks · PDF
5.11 Tree Diagrams14p + answers · 102 marks · PDF
2.17 Cumulative Frequency13p + answers · 62 marks · PDF
2.18 Box Plots14p + answers · 79 marks · PDF
4.7 Scatter Graphs and Line of Best Fit17p + answers · 70 marks · PDF
4.8 Time Series13p + answers · 74 marks · PDF
2.19 Population Pyramids9p + answers · 56 marks · PDF
2.20 Choropleth Maps11p + answers · 55 marks · PDF

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