Stem and Leaf - Worksheets, Questions and Revision

18 original exam-style questions - 10 pages of questions with a full mark scheme - free printable PDF.

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2.16 Stem and Leaf

EDEXCEL 1MA1 · Calculator allowed · about 65 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Freya recorded the ages, in years, of 9 people at a coffee morning. The stem and leaf diagram shows her results.
Stem Leaf 1 8 9 2 0 2 2 5 7 3 1 4 Key: 2 | 0 means 20 years old
(a)Write down the age of the youngest person.(1)
(b)Write down how many people are 30 years old or older.(1)
(c)Write down the mode of the ages.(1)
(Total for Question 1 is 3 marks)
2
A student wants to record the values 21, 23, 23 and 28 as a single row of a stem and leaf diagram, using the stem 2 to represent the tens digit.
Which row has been written correctly?
A) 21 3 3 8
B) 221 23 23 28
C) 28 3 3 1
D) 21 3 8
  • A) 2 | 1 3 3 8
  • B) 2 | 21 23 23 28
  • C) 2 | 8 3 3 1
  • D) 2 | 1 3 8
(Total for Question 2 is 1 mark)
3
The leaves 5, 1, 5, 8 and 2 all belong in the stem 3 row of a stem and leaf diagram. Each leaf is the units digit of a time, in minutes, and the stem 3 represents the tens digit (so a leaf of 5 in this row represents 35 minutes).
(a)Write these leaves in order, smallest to largest.(1)
(b)Write down a suitable key for this diagram.(1)
(Total for Question 3 is 2 marks)
4
Callum has drawn this stem and leaf diagram to show the ages, in years, of some of his relatives.
1 9 2 5 2 8 1 6 6 Key: 1 | 9 means 19
(a)Write down what is wrong with Callum's stem and leaf diagram.(1)
(b)Draw the diagram again with the leaves written correctly.(2)
(Total for Question 4 is 3 marks)
5
The temperatures, in degrees Celsius, recorded at 10 different times on one day were:
14, 21, 9, 18, 22, 9, 16, 25, 21, 12
(a)Draw an ordered stem and leaf diagram to show this information. Use the stems 0, 1 and 2.(2)
(b)Write down a suitable key for your diagram.(1)
(Total for Question 5 is 3 marks)
6
In a javelin competition, the distance thrown by each of 13 athletes, to the nearest metre, is shown in the stem and leaf diagram.
Stem Leaf 2 3 5 8 9 3 0 2 4 4 7 9 4 1 3 5 Key: 3 | 2 means 32 metres
(a)Find the range of the distances thrown.(2)
(b)Find the median distance thrown.(2)
(c)Write down how many athletes threw further than 40 metres.(1)
(Total for Question 6 is 5 marks)
7
The number of minutes spent revising last night by each of 8 students in a class is shown in the stem and leaf diagram.
Stem Leaf 0 5 8 1 0 2 5 5 9 2 3 Key: 1 | 0 means 10 minutes
(Total for Question 7 is 3 marks)
8
The masses, in kg, of 12 parcels delivered to a post office were:
2.3, 1.8, 3.1, 2.7, 1.5, 3.4, 2.2, 1.9, 3.0, 2.5, 1.5, 2.9
(a)Draw an ordered stem and leaf diagram to show this information. Use the whole number as the stem and the first decimal digit as the leaf. Include a key.(3)
(b)Write down the modal mass.(1)
(Total for Question 8 is 4 marks)
9
11 students in Class 8A and 11 students in Class 8B each timed, in seconds, how long it took them to solve a puzzle. The results are shown in the back-to-back stem and leaf diagram.
Class 8A Stem Class 8B 9 8 5 2 1 4 6 9 9 7 4 2 1 2 0 3 3 5 8 3 1 3 1 2 5 Key: for Class 8A, 9 | 1 means 19 seconds. For Class 8B, 1 | 4 means 14 seconds.
(a)Write down the number of students in Class 8A who took less than 20 seconds to solve the puzzle.(1)
(b)Find the median time for Class 8B.(2)
(c)Find the range of times for Class 8A.(2)
(Total for Question 9 is 5 marks)
10
10 members of a book club recorded the number of pages they read last week. Their results are shown in the stem and leaf diagram.
0 2 5 9 1 1 3 4 6 8 8 2 3 0 Key: 1 | 1 means 11 pages
(a)Write down the value that is an outlier.(1)
(b)Find the range of the data, including the outlier.(2)
(c)Explain why the range may not be a good measure of the spread of this data.(1)
(Total for Question 10 is 4 marks)
11
The ages, in years, of 8 people in Group P and 8 people in Group Q at a yoga class were recorded.
Group P: 34, 41, 28, 45, 34, 22, 39, 41
Group Q: 25, 30, 44, 38, 22, 41, 35, 27
(a)Draw a back-to-back stem and leaf diagram to show this information. Use the stems 2, 3 and 4. Include a key.(3)
(b)Write down the modal age (or ages) for Group P.(1)
(Total for Question 11 is 4 marks)
12
The stem and leaf diagram shows the test scores, out of 40, of 11 students.
0 8 9 1 2 5 7 9 2 0 3 6 8 3 1 Key: 1 | 2 means a score of 12
(Total for Question 12 is 2 marks)
13
The stem and leaf diagram shows the shoe sizes of 10 customers in a shop one morning.
3 6 8 9 4 0 2 4 5 7 5 1 3 Key: 4 | 0 means shoe size 40
(a)Find the median shoe size.(2)
(b)Write down the range of the shoe sizes.(1)
(Total for Question 13 is 3 marks)
14
The stem and leaf diagram shows the number of runs scored by 12 batters in a cricket match.
0 4 4 7 9 1 0 3 3 3 8 2 1 5 5 Key: 1 | 0 means 10 runs
(a)Write down the modal number of runs.(1)
(b)Work out the mean number of runs scored. Give your answer correct to 1 decimal place.(3)
(Total for Question 14 is 4 marks)
15
Use the diagram in Question 14 to answer this question.
(a)Write down how many batters scored fewer than 10 runs.(1)
(b)Two more batters played in a later match and scored 12 runs and 30 runs. Find the range of runs scored by all 14 batters.(2)
(Total for Question 15 is 3 marks)
16
A stem and leaf diagram shows the number of emails received in one day by each of 9 employees.
The median number of emails received is 14.
Stem Leaf 0 3 5 6 8 1 x 6 8 2 2 4 Key: 2 | 2 means 22 emails
(a)Find the value of x.(3)
(b)Hence write down the range of the number of emails received.(2)
(Total for Question 16 is 5 marks)
17
Use your diagram from Question 11 to answer this question.
(Total for Question 17 is 2 marks)
18
The stem and leaf diagram shows the distances, in miles, driven by 12 delivery drivers in one day. As all the distances are greater than 100 miles, the stem shows the first two digits (hundreds and tens) of each distance.
Stem Leaf 10 2 5 8 11 0 3 3 6 9 12 1 4 4 7 Key: 11 | 3 means 113 miles
(a)Write down the smallest distance driven.(1)
(b)Find the median distance driven.(2)
(Total for Question 18 is 3 marks)
Mark scheme · 2.16 Stem and Leaf

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18