GCSE · Data representation

Stem-and-leaf diagrams (including back-to-back)Exam-style questions

A stem-and-leaf diagram keeps every value and shows the shape of the data at once. How to draw an ordered diagram with a key, how to read the mode, median and range (and the quartiles) by counting leaves, and how to compare two groups on a back-to-back diagram with an average and a spread, in context.

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12 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4

1
The back-to-back stem-and-leaf diagram shows the number of minutes some girls and some boys spent reading one evening.

$\begin{array}{r|c|l} \llap{\text{Girls}} & & \rlap{\text{Boys}} \\[2pt] 8~~~5~~~2 & 1 & 4~~~6~~~9 \\ 9~~~5~~~5~~~3 & 2 & 2~~~7~~~8 \\ 6~~~4~~~1 & 3 & 0~~~5 \\ 7~~~0 & 4 & 1~~~4 \\ 8 & 5 & 3 \end{array}$

Key: $4 \mid 3 \mid 5$ represents $34$ minutes for a girl and $35$ minutes for a boy
(a) Write down the shortest time for the girls.

(1 mark)
(b) Find the median time for the girls.

(1 mark)
(c) How many boys read for more than $40$ minutes?

(1 mark)
Level 2 · 3 marksTry it