← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 10 · Statistics
Statistics: Five-Number Summary & Box Plots (Grade 10)
WORKSHEET
Name: 
Class: 
Date: 
Mark
  / 17

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    The mean of 23, 31, 27, 35, 29 and x is 29. Solve for x.
    (3)
  2. 2
    Find the mean of 4, 8, 9, 11, 13.
    (2)
  3. 3
    Find the median of 3, 7, 9, 12, 15, 18.
    (2)
  4. 4
    Find the mode of 2, 5, 5, 7, 9, 5.
    (1)
  5. 5
    Find the range of 12, 15, 18, 20, 35.
    (1)
  6. 6
    For 12, 15, 18, 20, 22, 25, 28, 30, 35 find Q₁, Q₂ and Q₃.
    (3)
  7. 7
    Using the box plot below of that summary, find the IQR.
    (1)
    12min16,5Q₁22Q₂29Q₃35max
  8. 8
    What does the line inside the box represent?
    (1)
  9. 9
    What fraction of the data lies inside the box?
    (1)
  10. 10
    A box plot has minimum 4, Q₁ = 9, median 14, Q₃ = 21 and maximum 30. Calculate the interquartile range, and state what fraction of the data lies inside the box.
    (2)
TOTAL: 17 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.