Quartiles/IQR/Box and Whisker Plots (10)

Determine quartiles and interquartile range (ACMSP248)

Construct and interpret box plots and use them to compare data sets (ACMSP249)

Compare shapes of box plots to corresponding histograms and dot plots (ACMSP250)

LO:To determine quartiles and interquartile range and use them to construct and compare box and whisker plots.
Know:

  • How to use data to create a box and whisker plot
  • How to identify min/max values from a data set
  • How to find the median of a data set
  • How to place values on a number line

Understand:
That a box and whisker plots can help us to visually represent data and develop generalizations
Do:

  • I can determine quartiles and interquartile range
  • I can construct and interpret box plots and use them to compare data sets
  • I can compare shapes of box plots to corresponding histograms and dot plots.

Visual Representations

Box and Whisker plots are an easy way of organizing data. It shows our min/max values as well as median of our data.

Notes

Creating Box and Whisker Plots Step by Step Process

  1. Organize your data in ascending order (smallest to biggest)

  2. Find the min/max values

  3. Find the median (middle number) of the data

  4. Find the median value of Quarter 1

  5. Find the median value of Quarter 3

  6. Draw your lines with min/max values

  7. Add in Q1 and Q3 values and draw box around the two values

  8. Add in your median value and draw a line to split the box.

Box Plots Videos

Practise Questions

My Maths 10/10A

Exercise 10D pg. 489 Q. 2-15

Exercise 10D pg. 501 Q. 1-5, 12

Exercise 10D pg. 501 Q. 6-11

Next Lesson – Scatterplots