Grade 11 Maths · Statistics · Paper 2

Ogives Grade 11

Real Ogives past paper questions and answers from 2023 to 2025, with each memo split into the ticks examiners give. Try one, mark yourself, and see exactly which skill cost you marks.

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Question 2.3 · November 2025 · Paper 2 · Provincial · 2 marks

The cumulative frequency graph presents data from a survey conducted in a certain restaurant, detailing the distribution of tips earned by employees during their shift. $Diagram for this question$

2.3 Determine how many employees earned R24 or less from the cumulative frequency graph.(2)

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More Ogives Grade 11 questions and answers

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4. Question 9.2.1 · November 2023 · Paper 1 · Provincial · 3 marks
9.2 A cellphone distribution company investigated the number of defective phones that they obtain from two suppliers, Axis Phones and Direct Phones. They recorded their findings in a contingency table, shown below.

Answer the questions that follow. $Diagram for question 9.2$
9.2.1 Determine the values of $a$ , $b$ and $c$ .(3)
Show the memo (3 ticks)Memo
1. ✓
  $a = 28$ $a = 28$
  1 mark · Read and complete a frequency table
2. ✓
  $b = 86$ $b = 86$
  1 mark · Read and complete a frequency table
3. ✓
  $c = 216$ $c = 216$
  1 mark · Read and complete a frequency table
5. Question b · Siyavula Grade 11 Mathematics, 11.3 Ogives, Worked example 8 · 3 marks
The grouped data below is given in a table. $Diagram for this question$
b Use the table to draw an ogive of the data.(3)
Show the memo (3 ticks)Memo
1. ✓
  Grounded at the startThe first point is $(10; 0)$ : at the beginning of the first interval, with a count of $0$ .
  1 mark · Draw an ogive
2. ✓
  Points at the upper limitsPlot each cumulative frequency at the end of its interval: $(20; 5)$ , $(30; 12)$ , $(40; 24)$ , $(50; 34)$ , $(60; 40)$ .
  1 mark · Draw an ogive
3. ✓
  Points joinedConnect the points to give the ogive. $Memo diagram$
  1 mark · Draw an ogive
6. Question WE9 · Siyavula Grade 11 Mathematics, 11.3 Ogives, Worked example 9 · 5 marks
$Diagram for this question$
WE9 Use the following ogive to compute the five number summary of the data. Remember that the five number summary consists of the minimum, all the quartiles (including the median) and the maximum.(5)
Show the memo (5 ticks)Memo
1. ✓
  MinimumThe minimum value is $1$ , since this is where the ogive starts on the horizontal axis.
  1 mark · Read values from an ogive
2. ✓
  MaximumThe maximum value is $10$ , since this is where the ogive stops on the horizontal axis.
  1 mark · Read values from an ogive
3. ✓
  First quartileThe counts go up to $40$ , so $Q_{1}$ is at a count of $10$ : $Q_{1} = 3$
  1 mark · Read values from an ogive
4. ✓
  MedianA count of $20$ corresponds to a value of $7$ : median $= 7$
  1 mark · Read values from an ogive
5. ✓
  Third quartile and summaryA count of $30$ corresponds to a value of $8$ : $Q_{3} = 8$
  The five number summary is $(1; 3; 7; 8; 10)$ .
  1 mark · Read values from an ogive

Ogives Grade 11 videos

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

Grade 8 Data Handling: Tally tables and frequency tablesMaths Monkey

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

Median and interquartile range of cumulative frequency graphSum Help

Statistics Grade 11: Ogive curveKevinmathscience

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