## Statistics & number

Unit 1 includes

### Fractions & Decimals

- Add, subtract, multiply and divide any number
- Order of operations and inverse operations
- Rounding to the nearest whole number, 10, 100, 1000 or million
- Rounding to Decimal places
- Rounding to Significant figures
- Choosing an appropriate degree of accuracy
- Finding maximum and minimum values for rounded numbers
- Combining upper and lower bounds to find maximum and minimum values for calculations
- Practical problems involving bounds
- Using a calculator for adding, subtracting, multiplying and dividing
- Using a calculator to check answers
- Entering complex calculations on a calculator
- Understanding and using calculator functions
- Understanding and interpreting the calculator display
- Equivalent fractions
- Simplifying fractions
- Converting between fractions, decimals and percentages
- Using fractions to compare data
- Multiplying fractions
- Multiplying decimals
- Fractions of quantities
- Adding, subtracting, multiplying and dividing fractions using a calculator
- Compound interest

### Indices & Standard Form

- Converting ordinary numbers into standard form
- Converting standard form into ordinary form
- Ordering numbers in standard form
- Calculating with numbers in standard form
- Standard form on a calculator

### Collecting Data

- The Data Handling Cycle
- Hypotheses
- Sampling methods
- Choosing suitable sampling methods
- Discussing statistical findings and their significance
- Quantitative, qualitative, discrete and continuous data
- Identifying the type of data and choosing suitable diagrams
- Grouped and ungrouped data, including pros and cons of grouped data
- Primary and secondary data
- Bias: how and why it may arise and how to minimise it
- Writing and criticising questions and response sections for questionnaires
- Data collection methods observation, controlled experiment, questionnaire, survey and data logging
- Choosing suitable data collection methods
- Designing and using data collection sheets
- Extracting data from printed tables and lists
- Two-way tables
- Scatter graphs
- Stem-and-leaf diagrams
- Tally charts
- Bar charts and dual bar charts
- Pie charts
- Line graphs
- Frequency polygons
- Histograms
- Cumulative frequency diagrams
- Box plots
- Relative frequency diagrams
- Choosing appropriate diagrams for different data types

### Percentages

- Understanding percentage as a number out of 100
- Converting between fractions, decimals and percentages
- Using percentages to compare data
- Multiplying by percentages
- Percentage of quantities
- Percentage increase and decrease
- One quantity as a percentage of another
- Reverse percentage
- Compound interest

### Ratio & Proportion

- Understanding ratio notation
- Interpreting ratio as a fraction
- Simplifying ratios
- Ratio and proportion problems
- The unitary method
- Repeated proportional change

### Statistical Measures

- Scatter graphs
- Stem-and-leaf diagrams
- Tally charts
- Pictograms
- Bar charts and dual bar charts
- Pie charts
- Line graphs
- Frequency polygons
- Histograms
- Cumulative frequency diagrams
- Box plots
- Choosing appropriate diagrams for different data types
- Comparing diagrams in order to make decisions about a hypothesis
- comparing data using the mean and the range
- Comparing data using the median and the interquartile range
- Finding patterns in data and identifying unusual data values
- Calculating mean, median, range, mode and modal class from lists, tables or diagrams
- Mean from discrete frequency distributions
- Median from discrete frequency distributions or stem-and-leaf diagrams
- Mode or modal class from frequency distributions
- Estimating mean from grouped frequency distributions
- Median interval from grouped frequency distributions
- Lower quartile, upper quartile and inter-quartile range
- Estimating median from histograms
- Choosing the appropriate average

### Representing Data

- Scatter graphs
- Stem-and-leaf diagrams
- Tally charts
- Pictograms
- Bar charts and dual bar charts
- Pie charts
- Line graphs
- Frequency polygons
- Histograms
- Cumulative frequency diagrams
- Box plots
- Choosing appropriate diagrams for different data types
- Comparing diagrams in order to make decisions about a hypothesis
- comparing data using the mean and the range
- Comparing data using the median and the interquartile range

### Scatter Diagrams

- Types of correlation
- Correlation strength
- Correlation and causality
- Lines of best fit

### Probability

- Probability vocabulary
- Writing probabilities as fractions, decimals or percentages
- Probability scales
- Equally likely outcomes
- Relative frequency
- Listing outcomes systematically
- Using two-way tables to list outcomes
- Mutually exclusive outcomes
- The sum of the probabilities of all possible mutually exclusive outcomes is one