What this topic covers
Statistics has 4 subtopics:
- Sampling and Statistical Enquiry
- Charts, Diagrams and Distributions
- Averages and Spread
- Scatter Graphs and Correlation
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GCSE AQA Higher Maths · Topic 6 of 6
Statistics – GCSE AQA Higher Maths revision notes
Choose a subtopic. Statistics covers Sampling and Statistical Enquiry, Charts, Diagrams and Distributions, Averages and Spread, and Scatter Graphs and Correlation in GCSE AQA Higher Maths. 11 lessons in 4 subtopics.
Revise Statistics for GCSE AQA Higher Maths, including Sampling and Statistical Enquiry and Charts, Diagrams and Distributions. 11 lessons across 4 subtopics.
11
Lessons
4
Subtopics
Statistics lessons by subtopic
11 lessons, grouped by subtopic.
Sampling and Statistical Enquiry
- Populations, Samples and Sampling: Distinguish populations from samples, explain why sampling is used, and evaluate the limits of sample-based data collection.
- Making Inferences from Samples: Explore higher-level concepts and learn how to infer properties of populations from samples while understanding the limitations of sampling methods.
- Comparing Populations with Statistical Measures: Use averages and measures of spread to describe, compare, and evaluate populations in context.
Charts, Diagrams and Distributions
- Choosing and Interpreting Statistical Charts: Choose appropriate statistical charts for different data sets, construct them accurately, and interpret what each chart shows.
- Constructing Statistical Diagrams and Comparing Distributions: Construct statistical diagrams accurately, compare what different diagrams reveal about distributions, and justify the best representation for a data set.
- Histograms and Cumulative Frequency Curves: Construct and interpret histograms and cumulative frequency curves, including estimating medians, quartiles, and spread from grouped data.
Averages and Spread
- Choosing Statistical Diagrams and Summary Measures: Choose the most suitable statistical diagrams and summary measures for a data set and justify those choices in context.
- Box Plots and Quartiles: Understand how to construct and interpret box plots. Learn about quartiles, inter-quartile range, and how these measures help identify the spread and distribution of data including outliers.
- Measures of Central Tendency and Spread: Master the calculation and interpretation of mean, median, mode, modal class, and range. Learn when each measure is most appropriate and how to consider the impact of outliers on these statistics.
Scatter Graphs and Correlation
- Scatter Graphs and Correlation: Interpret scatter graphs, classify correlation precisely, and explain why correlation alone does not prove causation.
- Lines of Best Fit, Interpolation and Extrapolation: Draw and use a line of best fit on a scatter graph, make estimates, and judge the reliability of interpolation and extrapolation.
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Frequently asked questions
What is Statistics?
Statistics covers Sampling and Statistical Enquiry, Charts, Diagrams and Distributions, Averages and Spread, and Scatter Graphs and Correlation in GCSE AQA Higher Maths. 11 lessons in 4 subtopics.
What is the mode in maths?
The mode is the value that appears most often in a data set. The Measures of Central Tendency and Spread notes cover this in full.
How do you calculate the mean?
The mean is calculated by adding all the values together and dividing by how many values there are. The Measures of Central Tendency and Spread notes cover this in full.
What is frequency density?
Frequency density = frequency ÷ class width, and it goes on the vertical axis of a histogram with unequal class widths. The Histograms and Cumulative Frequency Curves notes cover this in full.
What is the interquartile range?
The interquartile range (IQR) = Q3 - Q1, and it measures the spread of the middle 50% of the data. The Box Plots and Quartiles notes cover this in full.
How do you find the range of a data set?
The range is the difference between the largest and smallest values in a data set, so range = largest value − smallest value. The Measures of Central Tendency and Spread notes cover this in full.
How do you find the mean from a frequency table?
To find the mean from a frequency table, multiply each value by its frequency to make an fx column, add up the fx column, then divide by the total frequency. The Measures of Central Tendency and Spread notes cover this in full.
What is a census?
A census collects data from an entire population. The Populations, Samples and Sampling notes cover this in full.
What are the types of correlation on a scatter graph?
The types of correlation on a scatter graph are positive, negative and no correlation. The Scatter Graphs and Correlation notes cover this in full.