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Grade 4 · Foundation and Higher · free GCSE maths worksheet

Stem and leaf diagrams

Drawing, reading and finding the median.

11 original questions, 38 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

The stem and leaf diagram shows the masses, in grams, of some tomatoes.

StemLeaves
21  4  6
30  2  5  8
43  7

Key: 2 | 1 = 21 grams

Find the range of the masses.

2 marks
Show answer
26 grams
2

The stem and leaf diagram shows the number of minutes 13 students spent reading last night.

StemLeaves
05  8
10  2  5  5  9
21  4  6
30  3  8

Key: 1 | 2 = 12 minutes

  1. How many students read for more than 20 minutes?
  2. Write down the mode.
  3. Write down the longest time.
3 marks
Show answer
a) 6 b) 15 minutes c) 38 minutes
3

Here are the ages, in years, of 15 people at a family party.

23  31  8  17  25  36  12  29  34  15  21  9  27  33  18

Draw an ordered stem and leaf diagram for these ages. Include a key.

StemLeaf
3 marks
Show answer
stem 0) 8 9 stem 1) 2 5 7 8 stem 2) 1 3 5 7 9 stem 3) 1 3 4 6
4

The stem and leaf diagram shows the number of customers in a shop on each of 13 days.

StemLeaves
12  3  7
20  4  5  8  9
31  4  6
40  2

Key: 1 | 2 = 12 customers

Find the median number of customers.

3 marks
Show answer
28
5

Here are the masses, in kg, of 12 parcels.

2.4  3.1  1.8  2.9  3.5  2.2  1.5  3.3  2.7  1.9  3.0  2.5

  1. Draw an ordered stem and leaf diagram for these masses. Include a key.
  2. Find the median mass.
4 marks
Show answer
a) 1 | 5 8 9 ; 2 | 2 4 5 7 9 ; 3 | 0 1 3 5, key 1 | 5 = 1.5 kg b) 2.6 kg
6

Here are the times, in seconds, that 14 swimmers took to swim one length of a pool.

42  57  61  45  53  68  44  50  62  59  47  55  66  51

Draw an ordered stem and leaf diagram for these times. Include a key.

StemLeaf
3 marks
Show answer
stem 4) 2 4 5 7 stem 5) 0 1 3 5 7 9 stem 6) 1 2 6 8
7

Nine students in Class P and nine students in Class Q sat the same test, marked out of 50.

Class P

StemLeaves
12  8
21  5  7
31  4  8
45

Class Q

StemLeaves
22  4  8
30  1  3  5  7
41

Key: 2 | 1 = 21 marks

  1. Find the median and the range for each class.
  2. Compare the marks of the two classes.
5 marks
Show answer
a) P: median 27, range 33; Q: median 31, range 19 b) Class Q has the higher median so did better on average, and the smaller range so was more consistent
8

The stem and leaf diagram shows the number of press-ups 11 students did in one minute.

StemLeaves
06  8
11  3  5  7  9
22  4  6  8

Key: 1 | 1 = 11 press-ups

  1. Find the median number of press-ups.
  2. Find the range of the number of press-ups.
3 marks
Show answer
a) 17 b) 22
9

The stem and leaf diagram shows the ages of the 20 members of a chess club.

StemLeaves
14  5  8  9
20  1  3  3  6  7
30  2  2  5  6  8  9
41  3  7

Key: 1 | 4 = 14 years

A member is chosen at random. Sam says, "The probability that the member is aged 40 or over is 14 because one of the four rows is for the 40s."

  1. Explain why Sam is wrong.
  2. Work out the correct probability that the member is aged 40 or over. Give your answer as a fraction in its simplest form.
3 marks
Show answer
a) The rows do not contain the same number of members, so one row out of four is not the probability. Count the members (leaves) instead. b) 3/20
10

Here are the heights, in centimetres, of 15 sunflower plants.

132  145  128  150  141  136  129  147  153  138  144  131  149  140  135

  1. Draw an ordered stem and leaf diagram for these heights. Include a key.
  2. Find the median height.
StemLeaf
4 marks
Show answer
a) 12 | 8 9 ; 13 | 1 2 5 6 8 ; 14 | 0 1 4 5 7 9 ; 15 | 0 3 b) 140 cm
11

20 players each scored points in a darts game. Here are their scores.

12  45  23  38  41  17  29  34  47  21  36  43  15  27  32  49  24  39  44  30

  1. Draw an ordered stem and leaf diagram for these scores. Include a key.
  2. One of the 20 players is chosen at random. Find the probability that the player scored 40 points or more. Give your answer as a fraction in its simplest form.
StemLeaf
5 marks
Show answer
a) 1 | 2 5 7 ; 2 | 1 3 4 7 9 ; 3 | 0 2 4 6 8 9 ; 4 | 1 3 4 5 7 9 b) 3/10

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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