CIE IAL · Mathematics · 9709 P6 · A Level

9709 P6 Sampling and estimation Topic Questions

Every 9709 P6 Sampling and estimation topic question from the 2020–2027 syllabus, drawn from 49 papers (2020–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time.

9709 P6 8 subtopics 187 topic questions 49 papers 517 tagged marks

Back to Sampling and estimation All paper codes

Core finding

calculate unbiased estimates of the population mean and variance from… is the most frequently assessed subtopic in Sampling and estimation, with 38 topic questions and 141 marks across 35 papers. determine and interpret a confidence interval for a… follows with 31 topic questions and 93 marks. The topic contains 8 subtopics, 187 topic questions and 517 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table.

Topic question count and mark distribution

Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total.

Questions by subtopic

question items

• calculate unbiased estimates of the population mean and variance from a sample, using either raw or summarised data 35 papers

3821.1%

• determine and interpret a confidence interval for a population mean in cases where the population is normally distributed with known variance or where a large sample is used 20 papers

3117.2%

• determine, from a large sample, an approximate confidence interval for a population proportion 18 papers

2715.0%

• use the Central Limit Theorem where appropriate 19 papers

2513.9%

• recognise that a sample mean can be regarded as a random variable, and use the facts that

E (\overset{ˉ}{X}) = μ

and that

Var (\overset{ˉ}{X}) = \frac{σ ^{2}}{n}

19 papers

2212.2%

• use the fact that

(\overset{ˉ}{X})

has a normal distribution if

X

has a normal distribution 11 papers

147.8%

• understand the distinction between a sample and a population, and appreciate the necessity for randomness in choosing samples 9 papers

137.2%

• explain in simple terms why a given sampling method may be unsatisfactory 10 papers

105.6%

Marks by subtopic

marks

• calculate unbiased estimates of the population mean and variance from a sample, using either raw or summarised data 35 papers

14127.1%

• determine and interpret a confidence interval for a population mean in cases where the population is normally distributed with known variance or where a large sample is used 20 papers

9317.9%

• determine, from a large sample, an approximate confidence interval for a population proportion 18 papers

8917.1%

• recognise that a sample mean can be regarded as a random variable, and use the facts that

E (\overset{ˉ}{X}) = μ

and that

Var (\overset{ˉ}{X}) = \frac{σ ^{2}}{n}

19 papers

7314.0%

• use the Central Limit Theorem where appropriate 19 papers

5510.6%

• use the fact that

(\overset{ˉ}{X})

has a normal distribution if

X

has a normal distribution 11 papers

417.9%

• understand the distinction between a sample and a population, and appreciate the necessity for randomness in choosing samples 9 papers

183.5%

• explain in simple terms why a given sampling method may be unsatisfactory 10 papers

112.1%

Subtopic comparison matrix

Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list.

Subtopic	Topic questions	Papers	Marks	Years
• calculate unbiased estimates of the population mean and variance from a sample, using either raw or summarised data	38	35	141	2020–2026	Open topic questions
• determine and interpret a confidence interval for a population mean in cases where the population is normally distributed with known variance or where a large sample is used	31	20	93	2020–2026	Open topic questions
• determine, from a large sample, an approximate confidence interval for a population proportion	27	18	89	2020–2026	Open topic questions
• explain in simple terms why a given sampling method may be unsatisfactory	10	10	11	2020–2026	Open topic questions
• recognise that a sample mean can be regarded as a random variable, and use the facts that $E (\overset{ˉ}{X}) = μ$ and that $Var (\overset{ˉ}{X}) = \frac{σ ^{2}}{n}$	22	19	73	2020–2026	Open topic questions
• understand the distinction between a sample and a population, and appreciate the necessity for randomness in choosing samples	13	9	18	2020–2025	Open topic questions
• use the Central Limit Theorem where appropriate	25	19	55	2020–2026	Open topic questions
• use the fact that $(\overset{ˉ}{X})$ has a normal distribution if $X$ has a normal distribution	14	11	41	2021–2026	Open topic questions

Browse every topic question

• calculate unbiased estimates of the population mean and variance from a sample, using either raw or summarised data 38 question items · 35 papers 141 marks · 2020–2026 • determine and interpret a confidence interval for a population mean in cases where the population is normally distributed with known variance or where a large sample is used 31 question items · 20 papers 93 marks · 2020–2026 • determine, from a large sample, an approximate confidence interval for a population proportion 27 question items · 18 papers 89 marks · 2020–2026 • explain in simple terms why a given sampling method may be unsatisfactory 10 question items · 10 papers 11 marks · 2020–2026 • recognise that a sample mean can be regarded as a random variable, and use the facts that $E (\overset{ˉ}{X}) = μ$ and that $Var (\overset{ˉ}{X}) = \frac{σ ^{2}}{n}$ 22 question items · 19 papers 73 marks · 2020–2026 • understand the distinction between a sample and a population, and appreciate the necessity for randomness in choosing samples 13 question items · 9 papers 18 marks · 2020–2025 • use the Central Limit Theorem where appropriate 25 question items · 19 papers 55 marks · 2020–2026 • use the fact that $(\overset{ˉ}{X})$ has a normal distribution if $X$ has a normal distribution 14 question items · 11 papers 41 marks · 2021–2026

Topic question rules and edge cases

How many subtopics does Sampling and estimation contain?: This page lists 8 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions.
How are the subtopic question and mark totals calculated?: A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them.
Why do some subtopics have no numbered prefix?: Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically.
Is the LaTeX rendered without JavaScript?: Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site.