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Stem and leaf diagrams

Free Printable Stem and leaf diagrams PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 2)

Download free stem and leaf diagrams worksheets (PDF), GCSE maths past paper questions and worked solutions for Stem and leaf diagrams (2U). This is a Grade 2 statistics topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Maths Made Easy, 1st Class Maths, Metatutor, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our stem and leaf diagrams revision notes and worked examples with diagrams, try real GCSE past paper stem and leaf diagrams questions with step-by-step solutions, or download a PDF of all stem and leaf diagrams worksheet links.

Free Stem and leaf diagrams PDF Worksheets & Answers

Grade 2 • Topic 2U
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Grade 2 topics
2A - Calculation problems2B - Using a calculator
2C - Systematic listing2D - Fraction of an amount
2E - FDP2F - Simplifying algebra
2G - Writing an expression2H - Function machines
2J - Solving one step equations2K - Angles
2L - Area and perimeter2M - Reading scales
2N - Probability & Probability Scale2P - Frequency polygons
2Q - Unitary method2R - Bar charts
2S - Pie charts2T - Averages
2U - Stem and leaf diagrams
GCSE Maths Grade 2 Revision Notes & Method

Guide to Stem and leaf diagrams: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

A stem and leaf diagram splits each number into a stem (usually the tens digit) and a single-digit leaf (the units digit). Always write the leaves in numerical order from smallest to largest moving outward from the stem, and always include a Key (e.g. 2 | 5 = 25).

For n values, the median is at position n + 12. For the range, subtract the very first number (top stem, first leaf) from the very last number (bottom stem, last leaf).

Example 1: This ordered stem and leaf diagram shows the ages of 15 people.

14 7 8 8 9
21 3 5 6 6 6 9
30 2 4
Key: 1 | 4 represents 14 years (15 values in total)

Example 2: Using the diagram in Example 1, find:
(a) the mode   (b) the median   (c) the range

Solution:

(a) Mode: Leaf 6 appears three times in row 2 → 26
(b) Median: 15 + 12 = 8th value → count to 8th leaf = 25
(c) Range: Largest (34) − Smallest (14) = 20
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Stem and leaf diagrams Questions & Answers

Past Paper Example 1 GCSE Nov 2022 2F Q15 5 marks
Full Paper (PDF) • Mark Scheme (PDF)
Hetvi asked her friends how many stickers they each have in their collection.
Here are her results.
77 86 94 87 71 98
74 103 71 85 82 84
97 91 88 89 75
(a) Show this information in a stem and leaf diagram. [3 marks]
Key:
(b) Find the median number of stickers. [2 marks]
Worked Solution & Mark Scheme (5 marks)
Part (a) Solution:
7 | 1 1 4 5 7 M1
8 | 2 4 5 6 7 8 9
9 | 1 4 7 8 M1
10 | 3
Key: 7 | 1 = 71 A1
7114578245678991478103Key:71 represents 71
Answer (a): 7 | 1 1 4 5 7; 8 | 2 4 5 6 7 8 9; 9 | 1 4 7 8; 10 | 3; Key: 7 | 1 = 71
Part (b) Solution:
9th value in ordered list of 17 is 86 M1 A1
Answer (b): 86
Past Paper Example 2 GCSE Nov 2023 2F Q17 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
Here are the heights, in cm, of 16 sunflowers.
Key:
168 173 172 180 162 191 183 160
178 184 197 177 172 186 188 180
Show this information in a stem and leaf diagram.
Worked Solution & Mark Scheme (3 marks)
Ordered stems 16, 17, 18, 19 with leaves in ascending order and key M2 A1
Key:16028172237818003468191716 | 0 = 160 cm
Answer: 16 | 0 2 8; 17 | 2 2 3 7 8; 18 | 0 0 3 4 6 8; 19 | 1 7; Key: 16 | 0 = 160 cm
Past Paper Example 3 Specimen Set 2 3F Q10 4 marks
Full Paper (PDF) • Mark Scheme (PDF)
The stem and leaf diagram gives information about the speeds of 27 cars.
38413467889952246778896112222370Key:38 means 38 miles per hour
(a) Find the median speed. [1 mark]
(b) Work out the range. [1 mark]
(c) Jack is wrong.
Explain why. [2 marks]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
(Median = middle value when the numbers are in order)
14th value out of 27 is 56 mph B1
Answer (a): 56 miles per hour
Part (b) Solution:
(Range: Largest − smallest)
70 – 38 = 32 mph B1
Answer (b): 32 miles per hour
Part (c) Solution:
(Average speed = distance ÷ time)
7 cars in 60s + 1 car at 70 = 8 cars M1
8/27 ≠ 1/3 (9/27) C1
Answer (c): There are 8 cars with speed more than 60 mph, so the probability is 8/27, not 9/27 (1/3)

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