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Lesson Packs · Grade 12 · Mathematics

Sampling Distributions and Confidence Intervals

Students learn how a sample mean and a sample proportion vary from sample to sample, find standard errors, use the central limit theorem, and build and interpret z-confidence intervals for a population mean and a population proportion.

Unit 10 · Lesson 30 · Further Complex Numbers and Statistics

Preview

Sampling Distributions and Confidence Intervals — Slide 1
  • Sampling Distributions and Confidence Intervals — Slide 4
    Slide 4
  • Sampling Distributions and Confidence Intervals — Slide 8
    Slide 8
  • Sampling Distributions and Confidence Intervals — Slide 17
    Slide 17
  • Sampling Distributions and Confidence Intervals — Slide 18
    Slide 18
  • Sampling Distributions and Confidence Intervals — Worksheet, page 1
    Worksheet, page 1
  • Sampling Distributions and Confidence Intervals — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Describe the sampling distribution of a sample mean and a sample proportion, and calculate its standard error.
  • Use the central limit theorem and the normal distribution to find probabilities for a sample mean or proportion.
  • Construct z-confidence intervals for a mean and a proportion, and interpret them correctly.

What's inside

  • 40 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 11 worksheet questions (33 marks) with step-by-step solutions
  • Printable worksheet (3 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in this unit

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

Which languages are available?

Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

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