Chapter 4: Further Statistics 1: Chi-Squared Tests

A-level Further MathsFurther Statistics 1 & 23 topicsHigher

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Further Statistics 1: Chi-Squared Tests: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FS04-1 Find the required result for Further Statistics 1: Chi-Squared Tests. Given Observed counts for colours red, blue, green, yellow are 38, 27, 22, 13. Expected ratio is 4:3:2:1. Use calculate expected frequencies and a chi-squared statistic. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

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8 marksshow thathardEdexcel

FS04-2 Show that expected counts are 40, 30, 20, 10 for Further Statistics 1: Chi-Squared Tests. Start from Observed counts for colours red, blue, green, yellow are 38, 27, 22, 13. Expected ratio is 4:3:2:1. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

FS04-3 Determine the requested value in this structured Further Statistics 1: Chi-Squared Tests problem: state the degrees of freedom and test at 5%. Use the same data: Observed counts for colours red, blue, green, yellow are 38, 27, 22, 13. Expected ratio is 4:3:2:1. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

FS04-4 Hence use the result expected counts are 40, 30, 20, 10 to complete the extension for Further Statistics 1: Chi-Squared Tests: state the degrees of freedom and test at 5%. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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3. Further Statistics 1: Hypothesis Testing

5. Further Statistics 1: Probability Generating Functions

Key learning objectives

Understand the key principles behind Further Statistics 1: Chi-Squared Tests.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.