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Enterprise Skills
LESSON OBJECTIVES
We are learning to:
Enhance our Mathematical learning skills.
(Which Enterprise skills?)
Accurately construct stem and leaf diagrams and work out the mode, median and range. (Level 6)
Always aim high!
Where are we in our journey?
Real life cross/curricular links?
AUTHOR

2. Creative Entrepreneur
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LEARNING JOURNEY
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3. Creative Entrepreneur
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BRAIN IN GEAR
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EXAMPLE
DITDIONA can be rearranged to make ADDITION
TASK
Work out the following Mathematical anagrams:
DEOM
EAMIND
GRANE
Mode
Median
Range
EXTENSION
Develop your own Mathematical anagrams as above as a creative entrepreneur. 3

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STARTER
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TASK
EXTENSION 1)
Work out the averages and range for: 2, 3, 6, 6, 8 1)
Solve the equation:
7𝑥 + 9 = 3𝑥 + 17
Mode = 6
- 3𝑥
- 3𝑥
Median = 6 4𝑥 + 9 = 17 5
Mean =
= 5
- 9
- 9
Range = 4𝑥 = 8
8 - 2
= 6 2)
Work out the value of b – 4ac when a=2, b=5, c=-2 2
÷ 4
÷ 4 𝑥 = 2 5 2 – 4 x 2 x -2 = 25 + 16
= 41 3) x x x
Reflect the object in the line x = 1 4

5. Creative Entrepreneur Eleven were more than 30mph
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STEM AND LEAF DIAGRAMS
EXAMPLES 1) 2)
The speeds of vehicles in 30mph zone are recorded. Below are the results:
16 children in a class have a competition to find out who sells the most items in one day. Below are the results:
39,
42,
35,
29,
28,
42,
31, 33
26,
12,
25,
21,
12,
24,
24, 32
32,
35,
35,
27,
37,
23,
29,
27, 45
17,
24,
12,
17,
30,
13,
35, 25
(a) Draw a stem and leaf diagram to represent this data.
(a) Draw a stem and leaf diagram to represent this data.
Smallest = 23
Smallest = 12 2 3 7 7 8 9 9
Biggest = 45 1 2 2 2 3 7 7
Biggest = 35 3 1 2 3 5 5 5 7 9 2 1 4 4 4
Key: 5 5 6
3I5 means 35
Key: 4
2I5 means 25 2 2 5 3 2 5
(b) Work out the mode
Most common
(b) Work out the mode
Most common
35mph
No mode
(c) Work out the median
(c) Work out the median
33mph 24
(d) Work out the range
(d) Work out the range
Biggest - Smallest
Biggest - Smallest 22 23
(e) What fraction were over the 30mph limit?
(e) What fraction sold 30 or more? 11 17
Eleven were more than 30mph 3 16
Three sold 30 or more 5

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STEM AND LEAF DIAGRAMS
TASK 1 (LEVEL 4) 1)
Write out all the numbers shown in each of the stem and leaf diagrams below:
Key:
6I4 means 64
(a) 2 5 5 7 9
(b) 5 1 2 6 8 9 9
(c) 1 3 4
(d) 68 2 5
Key:
11I5 means 115 3 3 7 8 6 3 4 5 5 1 2 4 5 8 69 1 7 8 4 1 2 7 2 2 2 4 6 7 2 1 3 7 70 1 3 5 6 3 4 71 2 9
25,
25,
27,
29,
51,
52,
56,
58,
59,
59, 6
33,
37,
38,
60,
63,
64,
65,
65,
682,
685, 1, 3, 4,
41, 42
72,
72,
72,
74,
76, 77
691,
697,
698,
12,
14,
15,
18,
700,
701,
703,
705,
706,
21,
23,
27,
712,
719
34, 36
EXTENSION 1 (LEVEL 5) 2)
Write out all the numbers shown below in the back-to-back stem and leaf diagram for results in a Mathematics test out of 30 for both boys and girls.
Key:
0I8 means 8
Girl’s scores
Boy’s scores 5 ,2 8 9 1 2 5 6 4 7 3 8, 8, 9 19
,18
,17
,16
10,
15,
16,
18,
19, 19 29
,29
,28
,27
,25
,23
21,
24,
26,
26,
27, 28 6

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STEM AND LEAF DIAGRAMS
TASK 2 (LEVEL 6) 1)
Draw a stem and leaf diagram for the data below:
(a)
5, 23, 31, 2,18, 7, 25, 21, 10, 1, 33, 22, 39
(b)
32, 21, 12, 5,12, 6, 36, 22, 14, 2, 26, 17, 29
(c)
47, 31, 22, 31,25, 40, 44, 36, 27, 29, 36, 39
(d)
77, 85, 92, 72, 84, 76, 89, 76, 85, 67, 61, 75 6 1 7 1 2 5 7 2 5 6 2 2 5 7 9 7 2 5 6 6 7 1 8 1 2 2 4 7 3 1 1 6 6 9 8 4 5 5 9 2 1 2 3 5 2 1 2 6 9 4 4 7 9 2 3 1 3 9 3 2 6
Key:
3I6 means 36
Key:
8I4 means 84
Key:
2I3 means 23
Key:
1I4 means 14
EXTENSION 2 (LEVEL 6) 1)
Draw a stem and leaf diagram for the data below:
(a)
134, 154, 144, 131, 137, 142, 145, 150, 146, 149
(b)
1261, 1275, 1253, 1255, 1260, 1278, 1257, 1258, 1266, 1279 13 1 4 7
125 3 5 7 8 14 2 4 5 6 9
126 1 6 15 4
127 5 8
Key:
13I7 means 137
Key:
127I5 means 1275 7

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STEM AND LEAF DIAGRAMS
TASK 3 (LEVEL 6) 1) 2)
The pulse rates of 11 teachers are recorded. Below are the results:
The journey times, in minutes, for students on the school bus are shown below:
21,
18,
24,
31,
21,
30,
19, 22
63,
71,
52,
65,
65,
74,
57,
60,
59,
64, 78
24,
32,
33,
28,
22,
29, 18
(a) Draw a stem and leaf diagram to represent this data.
(a) Draw a stem and leaf diagram to represent this data.
Smallest = 52
Smallest = 18 78 5 2 7 9
Biggest =
Biggest = 33 1 8 8 9 6 3 4 5 5 2 1 1 2 2 4 4 8 9
Key:
6I3 means 63 7 1 4 8
Key:
2I4 means 24 3 1 2 3
(b) Work out the mode
Most common
(b) Work out the mode
Most common 65
No mode
(c) Work out the median
(c) Work out the median 64
24 minutes
(d) Work out the range
(d) Work out the range
Biggest - Smallest
Biggest - Smallest 26
15 minutes
(e) What fraction were over the pulse rate of 70?
(e) What fraction took half an hour or more? 3 11
Three were more than 70 4 15
Four were 30 or more 8

9. Creative Entrepreneur Four were under 15 e-mails
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STEM AND LEAF DIAGRAMS
TASK 3 (LEVEL 6) 3) 4)
The number of lates to school in a week are shown below:
The number of s received over 10 days are shown below: 8,
16,
24,
32,
26,
25,
15, 7
15,
23,
16, 7, 5,
27,
12, 12
,18
14,
25,
25,
30,
11,
13,
15,
19, 38
(a) Draw a stem and leaf diagram to represent this data.
(a) Draw a stem and leaf diagram to represent this data.
Smallest = 7
Smallest = 5
Biggest = 38 7 8
Biggest = 27 5 7 1 1 3 4 5 5 6 9 1 2 2 5 6 8 2 4 5 5 5 6
Key:
1I2 means 12
Key:
2I5 means 25 2 3 7 3 2 8
(b) Work out the mode
(b) Work out the mode
Most common
Most common 12 25
(c) Work out the median
(c) Work out the median 15 19
(d) Work out the range
(d) Work out the range
Biggest - Smallest
Biggest - Smallest
38 - 7
27 - 5 22 31
(e) What fraction were over 20 lates?
(e) What fraction were less than 15?
Eight were over 20 lates 8 17
Four were under 15 s 4 10 2 5 = 9

10. Creative Entrepreneur Fourteen were less than 30 texts
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STEM AND LEAF DIAGRAMS
TASK 3 (LEVEL 6) 5) 6)
The number of text messages sent a week by 16 students is shown below:
The ages of patients seen by a doctor on a particular day are shown below:
32, 6,
14,
16,
24,
35,
22, 23
16,
24,
37,
48,
27,
39,
55, 46
,35
,39
40,
38, 35
,28
,56
17,
19,
19, 5,
16,
16,
23, 27
47,
49,
58,
51,
12,
(a) Draw a stem and leaf diagram to represent this data.
(a) Draw a stem and leaf diagram to represent this data.
Smallest = 5
Smallest = 12 1 2 6 5 6
Biggest = 35
Biggest = 58 1 4 6 6 6 7 9 9 2 4 7 8 3 5 5 7 8 9 9 2 2 3 3 4 7
Key:
3I2 means 32
Key:
5I5 means 55 4 6 7 8 9 3 2 5 5 1 5 6 8
(b) Work out the mode
Most common
16 texts
(b) Work out the mode
Most common
(c) Work out the median
No mode
(c) Work out the median
19 texts
39 texts
(d) Work out the range
Biggest - Smallest
(d) Work out the range
35 - 5
Biggest - Smallest 30
(e) What fraction were less the 30 texts? 46 14 16 7 8 2 20 1 10
Fourteen were less than 30 texts
(e) What fraction were not adults? = =
Two were children 10

11. Creative Entrepreneur
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STEM AND LEAF DIAGRAMS
EXTENSION 3 (LEVEL 6) 1) 2)
The heights (cm) of 11 students is shown below:
The heights of plants (mm) in a greenhouse are shown below:
121,
144,
134,
152,
126,
135,
134,
177,
188,
140,
146,
164,
168,
151,
141,
136,
158,
147,
145,
142
172,
166,
172,
165,
163,
159,
154
(a) Draw a stem and leaf diagram to represent this data.
(a) Draw a stem and leaf diagram to represent this data.
Smallest =
121 12 1 6
Biggest =
158
Smallest =
140
188 14 6
Biggest = 13 4 4 5 6 15 1 4 9 14 1 2 4 5 7
Key:
14I1 means 141 16 3 4 5 6 8 15 2 8
Key:
18I1 means 181
(b) Work out the mode 17 2 2 7
Most common
134cm 18 8
(c) Work out the median
(b) Work out the mode
Most common
172mm
(c) Work out the median
141cm
164.5mm
(d) Work out the range
Biggest - Smallest
(d) Work out the range
37cm
Biggest - Smallest
(e) What fraction were less the 140cm? 12 14 6 7 =
48mm 6 11
Six were less than 140cm
(e) What fraction were more than 1.5m?
Twelve were more than 1.5m 11

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STEM AND LEAF DIAGRAMS
EXTENSION 4 (LEVEL 6) 1)
The back-to-back stem and leaf diagram below shows the Mathematics score for the same test for two different classes:
Class A
Class B 6 7 9 9 6 4 1 1 2 3 3 3 6 6 9 7 4 3 3 1 2 1 1 2 5 8
Key:
3I2 means 32 9 8 2 2 2 1 3 4 6 6 3 4 5
Compare the averages and range for both classes.
Class A
Class B
Mode =
32marks
Mode =
13marks
Median =
27marks
Median =
19.5marks
Mean =
Mean = 19 20
Mean =
20.8marks (1d.p.)
Mean =
26.9marks (1d.p.)
Range =
43 - 6
Range =
45 - 7
Range =
37marks
Range =
38marks 12

13. Creative Entrepreneur MINI-PLENARY (SPOT THE MISTAKES)
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STEM AND LEAF DIAGRAMS
MINI-PLENARY (SPOT THE MISTAKES)
Find the mistakes below: 1) 2)
Median = 3.1
Range = 5.3 – 1.4
Range = 3.9cm
Not ordered
Mode = 3.6cm 13

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LINK BACK TO OBJECTIVES
Accurately construct stem and leaf diagrams and work out the mode, median and range.
What level are we working at? 14

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STEM AND LEAF DIAGRAMS
PLENARY ACTIVITY
The following are the results of the final 12 throws in the men’s and women’s javelin in the 2012 London Olympics. The distances are in metres.
Men 83 85 86 82 87 88 79 76 93
Women 73 65 67 52 66 53 60 72
Draw a stem and leaf diagram(s) and discuss your findings.
Women
Men
Men
Women 3 3 2 5 7 6 9 5 2 3 3 7 6 6 5 5 5 6 8 2 2 2 3 5 6 7 8 8 6 5 5 5 6 6 7 3 2 7 6 9 9 3 7 2 3 8 2 2 2 3 5 6 7 8 8
Mode =
82m
Mode =
65m
Median =
84m
Median =
65m 9 3
Range =
17m
Range =
21m 15

16. Where are we in our journey? What level are we working at?
What have you learnt?
Draw your brain
In your brain, write or draw everything you can remember about constructing stem and leaf diagrams and working out the mode, median and range. It can be a skill or a reflection, or something else that might be prominent in your brain.
Where are we in our journey?
What level are we working at?

17. Creative Entrepreneur
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SELF ASSESSMENT
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Plenary Activity
How well do you understand the task? .
I don’t understand
I nearly understand
I fully understand

18. Creative Entrepreneur
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Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it notes…
Think about how you can improve your work.