Constructing box plots | Maths | Quizalize & Oak National Academy

Starter quiz

Match each term to the correct $Q$ .

Lower quartile

⇔

$Q_1$ ✓

Median

⇔

$Q_2$ ✓

Upper quartile

⇔

$Q_3$ ✓
Use this graph to estimate the median.

10

15

30 ✓

36

38
Use this graph to estimate the lower quartile.

5

7.5

18 ✓

21

24
Use this graph to estimate the upper quartile.

15

30

31

36 ✓

42
60% of people score ______ or less.

'13' ✓
Any pupil scoring over 16 marks gets a certificate. How many certificates are given out?

'4' ✓

Exit quiz

Match the letters to the correct term.

A

⇔

Lowest value ✓

B

⇔

Lower quartile ✓

C

⇔

Median ✓

D

⇔

Upper quartile ✓

E

⇔

Highest value ✓
What is the median height?

'125 cm' ✓
What is the upper quartile height?

'131 cm' ✓
What is the lower quartile of this set of data? 17, 13, 19, 21, 13, 14

'13' ✓
Below is a box plot for this set of data: 17, 13, 19, 21, 13, 14. What is the value of point E on the box plot?

'21' ✓
Below is a box plot for this set of data: 17, 13, 19, 21, 13, 14. What is the value of point C on the box plot?

'15.5' ✓

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

A box plot requires 5 pieces of information
These are lowest value, lower quartile, median, upper quartile and highest value
Outliers should be included in the range for now
At A level, there are suggested ways to identify outliers and indicate these

Common misconception

Forgetting to order the list of data before finding the 5 key pieces of information.

Ask some pupils to stand at the front of the classroom. Find the person in the middle, and pose the question "is they the median sized person?" Repeat with quartiles. This should highlight the importance of putting the numbers in order first.

Keywords

Box plot - A box plot is a diagram that clearly shows the minimum and maximum value of a data set along with the three quartiles.