Grade 11 Maths · Paper 2

Statistics Grade 11

Real past paper questions and answers from 2024 to 2025, with each memo split into the ticks examiners give. Try one, mark yourself, and see exactly which skill cost you marks.

past paper questions: 33 past paper questions
skills: 8 skills
videos: 8 videos

Try a real exam question

No sign-up. Takes 3 minutes.

Question 1.3 · May/June 2025 · Paper 2 · National (DBE) · 2 marks

An insurance broker signed contracts with 15 people. The monthly premium (in rands) payable on each contract is given below.

134, 215, 325, 326, 362, 429, 515, 531, 598, 610, 624, 728, 923, 1034, 1200

1.3 Calculate how many monthly premiums are within ONE standard deviation of the mean.(2)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

What's in Statistics Grade 11

Each skill is one thing a memo gives a tick for. Tap a skill for its own questions, notes and videos.

Histograms and Frequency Polygons

Draw a histogram, polygon or ogiveDraw a histogram, frequency polygon or ogive from a frequency table, with correct scales, labels and heights.6 past paper questions · 3 videos

Ogives16 past paper questions

Variance and Standard Deviation10 past paper questions

Calculate and use standard deviationFind the standard deviation to measure how spread out data is from the mean, for example how many values lie within one standard deviation.11 past paper questions · 4 videos

Symmetrical and Skewed Data7 past paper questions

More Statistics Grade 11 questions and answers

Try each one on paper before you open the memo.

1. Question 1.4 · November 2025 · Paper 2 · Provincial · 2 marks
The following data represent the prize allocation (in R1 000) for the top ten male finishers in the 2025 20 km Marathon, listed in descending order from 10th place to the first place. Note that the prize money for 6th place and 3rd place were not disclosed.

The mean prize across the available data is R21 770.

The prizes are shown in the table below. $Diagram for this question$
1.4 Determine the standard deviation of the prize money.(2)
Show the memo (1 tick)Memo
1. ✓
  Answer (✓✓) $σ = 25258, 19$
  2 marks · Calculate and use standard deviation
2. Question 2.1 · November 2024 · Paper 2 · Provincial · 2 marks
The weight of the boxers who underwent fitness and health checks is shown in the frequency table below. $Diagram for this question$
2.1 Complete the cumulative frequency column provided in the table in the ANSWER BOOK.(2)
Show the memo (2 ticks)Memo
1. ✓
  4 and 13Cumulative frequencies: 1; 4; 13; ...
  1 mark · Read and complete a frequency table
2. ✓
  19 and 22...; 19; 22; 23
  1 mark · Read and complete a frequency table
3. Question 1.4.1 · November 2024 · Paper 2 · Provincial · 1 mark
The traffic department set up a roadblock on the N12 between Potchefstroom and Klerksdorp. During the first hour, they stopped 11 minibus taxis.
The following dataset is a summary of the number of passengers per minibus taxi.

18, 26, 25, 18, 16, 12, 10, 8, 18, 17, 8
1.4 During the second hour of the roadblock, a further 5 minibus taxis were stopped. The number of passengers in these 5 taxis are: $x$ , 13, 18, $y$ , 20.

These 5 numbers are already arranged from smallest to largest.

The entire dataset for the first and second hours is collectively represented on a box-and-whisker diagram. The new average number of passengers for the 16 taxis is 16. The five-number summary can be seen on the diagram below.

Answer the questions that follow. $Diagram for question 1.4$
1.4.1 Discuss the skewness of the data.(1)
Show the memo (1 tick)Memo
1. ✓
  AnswerSkewed to the left. $\overset{x}{ˉ} < Q_{2}$
  1 mark · Describe skewness and outliers
4. Question WE11 · Siyavula Grade 11 Mathematics, 11.4 Variance and standard deviation, Worked example 11 · 3 marks
WE11 What is the variance and standard deviation of the possibilities associated with rolling a fair die?(3)
Show the memo (3 ticks)Memo
1. ✓
  MeanThe data set is $x = {1; 2; 3; 4; 5; 6}$ and $n = 6$ .
  $\overline{x} = \frac{1}{6} (1 + 2 + 3 + 4 + 5 + 6) = 3, 5$
  1 mark · Calculate the mean
2. ✓
  Variance $σ^{2} = \frac{\sum ( x - x ) ^{2}}{n} = \frac{1}{6} (6, 25 + 2, 25 + 0, 25 + 0, 25 + 2, 25 + 6, 25) = 2, 917$
  1 mark · Calculate and use standard deviation
3. ✓
  Standard deviation $σ = 2, 917 = 1, 708$
  1 mark · Calculate and use standard deviation
5. Question 2.1 · November 2024 · Paper 2 · Provincial · 2 marks
The traffic department has also conducted further investigation into where the best locations would be on the N12 to install speed cameras. Part of the investigation involved a survey of the different speeds of vehicles on the N12 between Potchefstroom and Klerksdorp.

The following table shows the results of the investigation: $Diagram for this question$
2.1 Use the table in the answer book and complete the cumulative frequency column.(2)
Show the memo (2 ticks)Memo
1. ✓
  First three cumulative frequenciesCumulative frequencies: 25, 71, 138 $Memo diagram$
  1 mark · Read and complete a frequency table
2. ✓
  Last four cumulative frequenciesCumulative frequencies: 217, 241, 249, 250
  1 mark · Read and complete a frequency table

Statistics Grade 11 videos

Short lessons from South African teachers first. Videos load only when you tap play, to save your data.

How To Make a Histogram Using a Frequency Distribution TableThe Organic Chemistry Tutor

Grade 8 Data Handling: Tally tables and frequency tablesMaths Monkey

Median and interquartile range of cumulative frequency graphSum Help

Statistics Grade 11: Ogive curveKevinmathscience

3. Grade 11 Mathematics - Statistics - Standard DeviationJuniorTukkie at the University of Pretoria

How to spot a misleading graph - Lea GaslowitzTED-Ed

Free on Android

Know exactly which skill is costing you marks.

Mark past papers tick by tick in the NavyBlue app. It remembers every mark you lose, shows you the skills to fix first, and picks your next questions.

The NavyBlue app showing a learner's weak skills