Stem and leaf diagrams Quiz (Grade 2)

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Score: 0 / 10

Stem and leaf diagrams — Notes & Worked Examples Show / Hide

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.

1	4 7 8 8 9
2	1 3 5 6 6 6 9
3	0 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

One Page Guide (PDF) Stem and leaf diagrams Worksheets

Question 1

[2 marks]

Draw a stem and leaf diagram for these ages:
29, 34, 48, 31, 18
45, 37, 34, 12, 28
41, 15, 23, 23, 24

Worked Solution & Answer

1) Put all the numbers in order from smallest to largest
2) Split each number into stem (first digits) and leaf (last digit) and write a Key
1 | 2 5 8; 2 | 3 3 4 8 9; 3 | 1 4 4 7; 4 | 1 5 8 (Key: 2 | 9 = 29)

Answer: 1 | 2 5 8; 2 | 3 3 4 8 9; 3 | 1 4 4 7; 4 | 1 5 8 (Key: 2 | 9 = 29)

Question 2

[2 marks]

Here is a stem and leaf diagram showing marks in a test out of 60.
Find the range and the median of the marks.

Worked Solution & Answer

(Range: Largest − smallest) B1

Answer: Range: 32 Median: 34

Question 3

[2 marks]

The stem and leaf diagram below gives information about the ages of people in a social club.

Find the range of these ages.

years

Worked Solution & Answer

Greatest age = 74, least age = 31 M1
Range = 74 – 31 = 43 years. A1

Answer: 43 years

Question Paper (PDF) • Mark Scheme (PDF)

Question 4

[2 marks]

Jake and Sarah each played a computer game six times.
Their scores for each game are shown below.
**Jake** 10 9 8 11 12 8
**Sarah** 2 10 7 14 4 10

(a) Who had the most consistent scores, Jake or Sarah?
You must give a reason for your answer. [1 mark]

(b) Is Jake correct?
You must explain your answer. [1 mark]

Worked Solution & Answer

(a)

Jake range = 12 – 8 = 4
Sarah range = 14 – 2 = 12 C1

Answer (a): Jake, because his scores have a smaller range (4 compared to Sarah's range of 12)

(b)

Four 6s in stem 2 represent 26 points C1

Answer (b): No, he did not include the stem; the modal score is 26 points

Question Paper (PDF) • Mark Scheme (PDF)

Question 5

[3 marks]

Here are the heights, in cm, of 16 sunflowers.

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 & Answer

Ordered stems 16, 17, 18, 19 with leaves in ascending order and key M2 A1

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

Question Paper (PDF) • Mark Scheme (PDF)

Question 6

[3 marks]

Here are the heights, in cm, of 12 children.

Show this information in a stem and leaf diagram.

146 135 142 150 138 149
152 146 137 154 147 144

Worked Solution & Answer

Order leaves for each stem: M1
13 | 5 7 8
14 | 2 4 6 6 7 9 M1
15 | 0 2 4
Key: 13 | 5 represents 135 cm. A1

Answer: 13 | 5 7 8; 14 | 2 4 6 6 7 9; 15 | 0 2 4; Key: 13 | 5 = 135 cm

Question Paper (PDF) • Mark Scheme (PDF)

Question 7

[3 marks]

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

15 20 25 33 17 22 25 18
22 19 32 35 24 28 19
Draw a stem and leaf diagram for these heights.

Worked Solution & Answer

Ordered stems 1, 2, 3 with leaves in ascending order and key shown M2 A1

Answer: 1 | 5 7 8 9 9; 2 | 0 2 2 4 5 5 8; 3 | 2 3 5; Key: 2 | 5 = 25 cm

Question Paper (PDF) • Mark Scheme (PDF)

Question 8 Specimen Set 2 3F Q10

[4 marks]

The stem and leaf diagram gives information about the speeds of 27 cars.

(a) Find the median speed. [1 mark]

miles per hour

(b) Work out the range. [1 mark]

miles per hour

Worked Solution & Answer

(a)

(Median = middle value when the numbers are in order)
14th value out of 27 is 56 mph B1

Answer (a): 56 miles per hour

(b)

(Range: Largest − smallest)
70 – 38 = 32 mph B1

Answer (b): 32 miles per hour

(c)

(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)

Question Paper (PDF) • Mark Scheme (PDF)

Question 9

[4 marks]

Tessa recorded the times that 15 adults took to complete a run.
She showed her results in a stem and leaf diagram.

(a) Find the median. [1 mark]

minutes

(b) Find the range. [2 marks]

minutes

Worked Solution & Answer

(a)

(Median = middle value when the numbers are in order)
8th value out of 15 = 64 minutes B1

Answer (a): 64 minutes

(b)

Range = 81 – 45 = 36 minutes M1 A1

Answer (b): 36 minutes

(c)

Adults were faster on average because their median time (64 minutes) is less than the children's (75 minutes)

Answer (c): Adults were faster on average because their median time (64 minutes) is less than the children's (75 minutes)

Question Paper (PDF) • Mark Scheme (PDF)

Question 10

[5 marks]

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]

(b) Find the median number of stickers. [2 marks]

Worked Solution & Answer

(a)

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

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

(b)

9th value in ordered list of 17 is 86 M1 A1

Answer (b): 86

Question Paper (PDF) • Mark Scheme (PDF)

Score: 0 / 10 (0 / 30 marks)

Stem and leaf diagrams Worksheets Next: Error intervals →

Grade 2 Quizzes

19 Topics

2A - Calculation problems	2B - Using a calculator
2C - Systematic listing	2D - Fraction of an amount
2E - FDP	2F - Simplifying algebra
2G - Writing an expression	2H - Function machines
2J - Solving one step equations	2K - Angles
2L - Area and perimeter	2M - Reading scales
2N - Probability & Probability Scale	2P - Frequency polygons
2Q - Unitary method	2R - Bar charts
2S - Pie charts	2T - Averages
2U - Stem and leaf diagrams