New
New
Year 10
Higher

Constructing stem and leaf diagrams

I can construct a stem and leaf diagram.

New
New
Year 10
Higher

Constructing stem and leaf diagrams

I can construct a stem and leaf diagram.

Lesson details

Key learning points

  1. The stem is made of all but the last digit of each value.
  2. The leaves are made from the last digit of each value.
  3. It is important that place value is preserved in the diagram through use of a key.
  4. A stem and leaf diagram can display data in strata.

Common misconception

That the stem always has to have the same number of digits.

Data with a range between 93 cm and 147 cm, draw the stem-and-leaf diagram but how do they write a key for it? Stress the leaf is the final single digit (all truncated so final digits have same place value), and all other digits form the stem.

Keywords

  • Stem and leaf diagram - A stem and leaf diagram is a systematic way to visually organise and represent numerical data.

The "post it" activity can be a great way to introduce a real life data investigation into your classroom. Use data engaging to your pupils, e.g. their heights. Depending on group define accuracy of the measure or look at importance of truncation. Value what can be seen from distance/up close.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Starting with the smallest, put these numbers in ascending order.
1 - -3.4
2 - -3.04
3 - -2.16
4 - -2
5 - 3.1
6 - 3.15
7 - 3.403
Q2.
Which of these numbers is not equivalent to the others?
12.5
Correct answer: 12.05
12.500
12.50
Q3.
The last digit in 13.8 represents __________.
8 ones
8 tens
Correct answer: 8 tenths
8 hundredths
Correct answer: 80 hundredths
Q4.
Simplifying a number by 'cutting off' one or more of the digits and replacing them with zeros if necessary to preserve place value is known as __________.
cutting
rounding
simplifying
Correct answer: truncating
Q5.
23.6473 truncated to 2 decimal places is .
Correct Answer: 23.64
Q6.
Here is a list of numbers: 56, 624, 40.6, 62, 668, 256, 60.06, 36, 0.66, 68, 62, 62.9. How many of the numbers have 6 tens?
Correct Answer: 6, six

6 Questions

Q1.
What part of the stem and leaf diagram is highlighted?
An image in a quiz
the key
Correct answer: a leaf
the stem
Q2.
The value of the highlighted data point is cm.
An image in a quiz
Correct Answer: 3.9
Q3.
The value of the highlighted data point is kg.
An image in a quiz
Correct Answer: 0.045
Q4.
Sam draws this stem and leaf diagram. Is Sam's diagram complete?
An image in a quiz
Yes, as it has a key.
Correct answer: No, the leaves are not ordered.
Yes, as the leaves are evenly spaced.
Q5.
The highlighted leaf represents seconds.
An image in a quiz
Correct Answer: 42
Q6.
Sam and Andeep draw a back-to-back stem and leaf diagram to compare their classes' scores in a quiz. The lowest score in Andeep's class is more than the lowest score in Sam's class.
An image in a quiz
Correct Answer: 2, two