← Further Maths syllabus

Northern IrelandFurther Maths

Unit 3: Statistics

6 dot points across 6 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you describe and use the relationship between two variables with correlation and a regression line?

Analyse bivariate data: draw and interpret scatter graphs, describe correlation, find and use a regression line, and understand interpolation and extrapolation.
A CCEA GCSE Further Mathematics answer on bivariate analysis, covering scatter graphs and correlation, the line of best fit and regression, using the line to predict, and the limits of extrapolation in the Statistics unit.
12 min answer →

How do you calculate and interpret the mean, median, standard deviation and other measures of spread?

Calculate measures of location and spread: the mean, median and mode, the range and interquartile range, and the variance and standard deviation, including from frequency data.
A CCEA GCSE Further Mathematics answer on measures of location and spread, covering the mean median and mode, the range and interquartile range, and the variance and standard deviation, including calculations from frequency tables, in the Statistics unit.
12 min answer →

How do you use the addition and multiplication laws and conditional probability to solve probability problems?

Calculate probabilities: use the addition and multiplication laws, mutually exclusive and independent events, tree diagrams, and conditional probability.
A CCEA GCSE Further Mathematics answer on probability, covering the addition and multiplication laws, mutually exclusive and independent events, tree diagrams, and conditional probability in the Statistics unit.
12 min answer →

How do you use the binomial distribution to find probabilities for a fixed number of independent trials?

Use the binomial distribution: identify when it applies, calculate probabilities of r successes in n trials, and find its mean and variance.
A CCEA GCSE Further Mathematics answer on the binomial distribution, covering the conditions for its use, the probability formula for r successes in n trials, and the mean and variance in the Statistics unit.
12 min answer →

How do you use the normal distribution and standardising to find probabilities for continuous data?

Use the normal distribution: recognise its bell shape and symmetry, standardise values with the z-score, and find probabilities using the standard normal table.
A CCEA GCSE Further Mathematics answer on the normal distribution, covering its symmetric bell shape, standardising with the z-score, using the standard normal table, and finding probabilities for continuous data in the Statistics unit.
12 min answer →

How do you use the Poisson distribution to model the number of random events in a fixed interval?

Use the Poisson distribution: identify when it applies, calculate probabilities of r events given a mean rate, and use its mean and variance.
A CCEA GCSE Further Mathematics answer on the Poisson distribution, covering the conditions for its use, the probability formula for r events given a mean rate, the equality of mean and variance, and combining intervals in the Statistics unit.
12 min answer →