Applications & Interpretation SL · Topic 4 · Statistics & Probability

IB Math AI SL Normal Distribution Worksheet (with full solutions)

The normal model: probabilities, inverse normal, standardising, and finding unknown mean or standard deviation.

28 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Applications and Interpretation SL students.

28pages
120marks
3difficulty levels
Yessolutions included
T4Statistics & Probability

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What this AI SL normal distribution worksheet covers

The normal model: probabilities, inverse normal, standardising, and finding unknown mean or standard deviation. The questions follow the order of the AI SL syllabus for Topic 4 (Statistics & Probability) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

P(X < a), P(a < X < b) with the GDC
Inverse normal for percentiles and cut-offs
Standardising with z = (x − μ)/σ
Finding μ or σ from given probabilities
Exam tip for this topic. Draw the bell curve and shade the region for every question — it makes the correct inequality obvious.

Preview

How to use it

  1. Do the first band without the AI SL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AI SL worksheets on Statistics & Probability

✓ = solutions included

The same topic for other courses

Questions

Is this AI SL normal distribution worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Applications and Interpretation SL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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