Grade 10 Maths · Statistics

Draw a box and whisker diagram

Draw a box and whisker diagram from the minimum, quartiles, median and maximum on a number line, and read values from one.

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Statistics Grade 10: Box and whiskerKevinmathscience

4. Grade 10 Mathematics - Statistics - Box and Whisker DiagramsJuniorTukkie at the University of Pretoria

Box and Whisker Plots Explained | Understanding Box and Whisker Plots (Box Plots) | Math with Mr. JMath with Mr. J

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Question 5.3 · September 2024 · Provincial · 3 marks

The following Life Sciences marks, for a test out of 50, were recorded from 15 grade 10 learners at a certain school. Diagram for this question

5.3 Draw a box and whisker diagram to represent the data above.(3)

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More past paper questions: draw a box and whisker diagram

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3. Question WE14 · Siyavula Grade 10 Mathematics, 10.5 Five number summary, Worked example 14 · 6 marks
WE14 Draw a box and whisker diagram for the following data set:
${1, 25; 1, 5; 2, 5; 2, 5; 3, 1; 3, 2; 4, 1; 4, 25; 4, 75; 4, 8; 4, 95; 5, 1}$ (6)
Show the memo (6 ticks)Memo
1. ✓
  Minimum and maximumThe data set is already sorted: minimum $= 1, 25$ ; maximum $= 5, 1$ .
  1 mark · Find quartiles, range and IQR
2. ✓
  MedianThere are $12$ values, so the median lies between the sixth and seventh values:
  $\frac{3 , 2 + 4 , 1}{2} = 3, 65$
  1 mark · Find the median
3. ✓
  Lower quartileThe first quartile lies between the third and fourth values:
  $\frac{2 , 5 + 2 , 5}{2} = 2, 5$
  1 mark · Find quartiles, range and IQR
4. ✓
  Upper quartileThe third quartile lies between the ninth and tenth values:
  $\frac{4 , 75 + 4 , 8}{2} = 4, 775$
  1 mark · Find quartiles, range and IQR
5. ✓
  BoxFive number summary: $(1, 25; 2, 5; 3, 65; 4, 775; 5, 1)$ .
  On a number line, draw the box from $2, 5$ (lower quartile) to $4, 775$ (upper quartile) with a line across it at the median $3, 65$ .
  1 mark · Draw a box and whisker diagram
6. ✓
  WhiskersDraw the whiskers from the box out to the minimum $1, 25$ and the maximum $5, 1$ (see the diagram). $Memo diagram$
  1 mark · Draw a box and whisker diagram
4. Question a · Siyavula Grade 12 Mathematics, 9.1 Revision, Worked example 3 · 5 marks
Three Matric classes wrote a Mathematics test. The test is out of $40$ marks and each class has $21$ learners. The results of the test are shown in the table below: $Diagram for this question$
a For each class, determine the five number summary and draw a box and whisker diagram on the same set of axes using an appropriate scale.(5)
Show the memo (5 ticks)Memo
1. ✓
  Minimum and maximumThe data is already ordered. The minimum of each data set is $4$ and the maximum of each data set is $40$ .
  1 mark · Find quartiles, range and IQR
2. ✓
  MediansThere are $21$ values, so the median is the eleventh mark: $16$ for Gr. 12A, $32$ for Gr. 12B and $21$ for Gr. 12C.
  1 mark · Find the median
3. ✓
  Lower quartilesThe first quartile lies between the fifth and sixth values: $12$ for Gr. 12A, $16$ for Gr. 12B and $14$ for Gr. 12C.
  1 mark · Find quartiles, range and IQR
4. ✓
  Upper quartilesThe third quartile lies between the $1 6^{th}$ and $1 7^{th}$ values: $36$ for Gr. 12A and Gr. 12B, and $\frac{30 + 32}{2} = 31$ for Gr. 12C.
  1 mark · Find quartiles, range and IQR
5. ✓
  Box and whisker diagramsGr. 12A $= [4; 12; 16; 36; 40]$
  Gr. 12B $= [4; 16; 32; 36; 40]$
  Gr. 12C $= [4; 14; 21; 31; 40]$
  Draw the three box and whisker diagrams on the same scale from $0$ to $40$ (see the diagram). $Memo diagram$
  1 mark · Draw a box and whisker diagram
5. Question 1.4.2 · 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. $Diagram for question 1.4$
1.4.2 What percentage of the minibus taxis had more than 11 passengers?(1)
Show the memo (1 tick)Memo
1. ✓
  Answer $75%$
  1 mark · Draw a box and whisker diagram

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