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Statistics GCSE questions

Studying stats? Practice makes perfect, so you’re in the right place. For additional help preparing for stats – or any other part of the GCSE maths exam – our professional GCSE maths tuition is the solution.

 

Each one-to-one session with TLC LIVE covers the topics that the student needs assistance with, and tutors draw from an extensive library of in-depth teaching resources. Here is a set of nine sample statistics GCSE questions from our library.

10 sample statistics GCSE questions

1. A statistics GCSE question: This box plot shows information about the amount of money a family spent on petrol over one month. Find the interquartile range in pounds. The box plot has vertical lines at £80, 265, 360, 425, and 640.

 

2. 2

3. a statistics GCSE question: Calculate the frequency density for pupils who spent between 60 and 80 minutes on their homework. The table reads time in minutes and number of pupils. 5 took 0 ≤ t ≤ 30 7 took 30 ≤ t ≤ 60 10 took 60 ≤ t ≤ 80 22 took 80 ≤ t ≤ 100 4 took 100 ≤ t ≤ 120 2 took 120 ≤ t ≤ 180

4. a statistics GCSE question: Calculate the frequency density for pupils who spent between 100 and 120 minutes on their homework. The table reads time in minutes and number of pupils. 5 took 0 ≤ t ≤ 30 7 took 30 ≤ t ≤ 60 10 took 60 ≤ t ≤ 80 22 took 80 ≤ t ≤ 100 4 took 100 ≤ t ≤ 120 2 took 120 ≤ t ≤ 180

5. a statistics GCSE question: The following information is drawn into a pie chart. Calculate the size of angle representing robins. The table has a column for birds and another for frequency Robin is 10 Sparrow is 5 Blackbirds is 8 Thrush is 2 Pigeon is 14 Pheasant is 1

6. a statistics GCSE question: 20 students were asked their favourite colour. How many students chose blue? The pie chart shows the degrees and names of colours. Blue is 126 degrees Red is 108 degrees Yellow is 72 degrees Other is 54 degrees

7. a statistics GCSE question: 20 students were asked their favourite colour. How many students chose yellow? The pie chart shows the degrees and names of colours. Blue is 126 degrees Red is 108 degrees Yellow is 72 degrees Other is 54 degrees

8.a statistics GCSE question: 315 Year 8 and 9 students in a secondary school were asked to choose which language they would prefer to learn in KS4. The results are shown below. A table shows that 52 Year 8 students and 55 Year 9 students want to learn French. 50 Year 8 students and 48 Year 9 students want to learn German. Find A on the following tree diagram The diagram shows 315 branching into year 8 and year 9. Year 8 leads to A, which branches into French, German and Spanish. French leads to C, German to D, and Spanish to 49.

9.  a statistics GCSE question: Find the diagram that has a moderate negative correlation.

10. a statistics GCSE question: A stratified sample of 70 students is to be taken from the school. How many pupils would be taken from class 1. The table shows that the school has 550 students across five year groups. Year 1 is 120 Year 2 is 125 Year 3 is 98 Year 4 is 102 Year 5 is 105

Answers to our sample statistics GCSE questions

1. £160

2. £230

3. 5

4. 2

5. 90⁰

6. 7

7. 4

8. 151

9. B

10. 15

 

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Written by Ryan Lockett, director of studies at TLC.

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