Grade 11 Maths · Statistics

Read values from an ogive

Read values off an ogive (cumulative frequency curve), for example the median, or how many learners scored less than 60.

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Median and interquartile range of cumulative frequency graphSum Help

How to Find Median and Quartiles from a Cumulative Frequency CurveYes, I Can Do Math

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Question 2.4 · 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. $Diagram for this question$

2.4 Determine the number of employees that earned

R 20 \leq x \leq R 40

.(2)

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3. Question 2.5 · 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. $Diagram for this question$
It is further given that, for a boxer to qualify for the next upcoming match, he must have a mass that is in the interval of $75 < x \leq 100$ .
2.5 Using the cumulative frequency graph (ogive) and estimate the number of boxers that will qualify for the upcoming match.(2)
Show the memo (2 ticks)Memo
1. ✓
  15 or reading from the graphFrom the ogive: at $x = 100$ the cumulative frequency is about 15; at $x = 75$ it is 4.
  1 mark · Read values from an ogive
2. ✓
  AnswerNumber of boxers $= 15 - 4 = 11$
  1 mark · Read values from an ogive
4. 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

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