AQA · GCSE Maths 8300

AQA GCSE Maths: Statistics — Practice Questions & Answers

Everything you need for AQA GCSE Maths Topic 6: data types and sampling, averages and spread from lists and tables, estimated mean for grouped data, comparing distributions, the main statistical diagrams, scatter graphs and correlation, cumulative frequency, quartiles, box plots, and histograms with frequency density.

122 practice questions available for this topic — here are 10 with full answers and explanations.

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Practice questions with answers

1 Multiple choice · Easy

Shoe size is an example of which type of data?

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WhyShoe sizes take separate, distinct values (you cannot have a shoe size of $7.342$), so the data is discrete.
2 Multiple choice · Easy

Which of the following is continuous data?

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WhyHeight can take any value within a range and is measured, so it is continuous. Number of pets and goals scored are counts (discrete), and eye colour is qualitative.
3 Multiple choice · Easy

Find the mode of the data set $3,5,5,7,8,8,8,10$.

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WhyThe mode is the value that appears most often. Here $8$ appears three times, more than any other value.
4 Multiple choice · Easy

Find the range of the data set $12,4,9,15,7$.

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WhyThe range is the largest value minus the smallest: $15-4=11$.
5 Multiple choice · Easy

Find the median of the data set $2,9,4,7,5$.

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WhyOrder the data: $2,4,5,7,9$. The middle value of the five numbers is $5$.
6 Multiple choice · Medium

Find the mean of the data set $6,8,11,3,12$.

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WhyAdd the values and divide by how many there are: $\frac{6+8+11+3+12}{5}=\frac{40}{5}=8$.
7 Multiple choice · Medium

A school has $600$ students. A stratified sample of $50$ is taken. If $240$ students are in Year $7$, how many Year $7$ students should be in the sample?

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WhyStratified sampling keeps proportions: $\frac{240}{600}\times 50=20$.
8 Multiple choice · Medium

A researcher surveys only her friends about a new product. This sample is most likely to be:

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WhySurveying only friends is not representative of the whole population, so the sample is biased.
9 Multiple choice · Medium

For the frequency table, value $1$ has frequency $4$, value $2$ has frequency $6$, value $3$ has frequency $10$. What is the modal value?

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WhyThe mode is the value with the highest frequency. Value $3$ has frequency $10$, the largest, so the mode is $3$.
10 Multiple choice · Medium

For the frequency table, value $5$ occurs $2$ times, value $6$ occurs $3$ times and value $7$ occurs $5$ times. Find the mean.

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WhyMean $=\frac{(5\times 2)+(6\times 3)+(7\times 5)}{2+3+5}=\frac{10+18+35}{10}=\frac{63}{10}=6.3$.

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Key terms in Statistics

Statistics: The branch of mathematics concerned with collecting, organising, presenting and interpreting data.
Data: Information, often numerical, collected for analysis.
Primary data: Data collected directly by the person carrying out the investigation.
Secondary data: Data collected by someone else and used by the investigator.
Qualitative data: Data that describes qualities or categories, such as colour or type, rather than numbers.
Quantitative data: Data that consists of numbers, such as heights or scores.
Discrete data: Numerical data that can only take particular separate values, such as the number of pets.
Continuous data: Numerical data that can take any value within a range, such as height or weight.

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Practise other AQA GCSE Maths topics

Topic 1: Number Topic 2: Algebra Topic 3: Ratio, proportion and rates of change Topic 4: Geometry and measures Topic 5: Probability