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HSC-STD-2 · Statistical Analysis

Statistical Analysis

HSC HSC Mathematics Standard 2 · 2024 NESA Syllabus

MS-S1MS-S2MS-S4MS-S5
MS-S1

Data Analysis

Represent, interpret and analyse data using tables, graphs and summary statistics including mean, median and standard deviation.

Sample questions
  1. 1.The following data shows exam scores: {45, 52, 63, 71, 71, 82, 94}. Find the mean, median, and IQR.
Exam weighting

5–8 marks — data interpretation is consistently tested.

Common student mistakes
  • ·Confusing mean, median and mode when data is skewed
  • ·Using a population formula instead of sample standard deviation
  • ·Misreading box-and-whisker plots
MS-S2

Relative Frequency and Probability

Use relative frequency and theoretical probability to solve practical problems and model random experiments.

Sample questions
  1. 1.A spinner has 3 red, 5 blue, and 2 green sections. Find P(not red).
Exam weighting

2–4 marks.

Common student mistakes
  • ·Confusing 'at least' with 'exactly' in probability problems
  • ·Not listing all outcomes in a sample space
MS-S4

Bivariate Data Analysis

Investigate relationships between two variables using scatterplots, correlation coefficients and lines of best fit.

Sample questions
  1. 1.A scatterplot shows study hours vs exam scores. Describe the correlation and use the line of best fit to predict the score for 4 hours of study.
Exam weighting

3–5 marks — interpreting a given scatterplot is typical.

Common student mistakes
  • ·Confusing correlation with causation
  • ·Incorrectly reading/interpolating from a line of best fit
MS-S5

The Normal Distribution

Apply the properties of the normal distribution and z-scores to interpret and compare data sets.

Sample questions
  1. 1.Test scores are normally distributed with mean 65 and SD 10. What percentage of students scored between 55 and 85?
Exam weighting

3–5 marks — z-score calculations and interpretation.

Common student mistakes
  • ·Forgetting to include both tails when using the 68-95-99.7 rule
  • ·Using wrong mean or SD when standardising

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