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Frequency Trees

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by

Mr Mattock

on 20 June 2018

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Transcript of Frequency Trees

Frequency Trees
Example
Example
Nationally 48% of people pass their driving test first time. For those that fail, 68% pass on their second attempt. For those that fail the first two times, fail the third time. Roughly 600000 people try to pass their test every year. What is the maximum number of people that pass by the third attempt.
Starter
Replace the question marks with three different mathematical operations to get the right answer.

a) 28 ? 7 ? 3 ? 5 = 17

b) 5 ? 7 ? 8 ? 3 = 40

c) 6 ? 8 ? 3 ? 7 = 23

d) 12 ? 24 ? 6 ? 2 = 14

L.O. - Use frequency trees to track frequencies and solve problems.
Example
2% of adult men have anemia. A test is developed to check for for anemia. The test is accurate 95% of the time on people that don't have anemia, and 98% of the time when people do have anemia. 150000 people a year are tested for anemia. Work out how many people will be wrongly told they are anemic.
150000
Anemic?
Yes
No
3000
147000
Test positive?
2940
60
Yes
No
No
Yes
139650
7350
1
20
Example
Nationally 48% of people pass their driving test first time. For those that fail, 68% pass on their second attempt. For those that fail the first two times, fail the third time. Roughly 600000 people try to pass their test every year. Work out the number of people that pass by the third attempt.
1
20
1st time
2nd time
3rd time
600000
288000
312000
Pass
Pass
Pass
Fail
Fail
Fail
212160
99840
4992
94848
600000 -
4992
= 595008 people
Activity
Complete the frequency trees worksheet
Activity
Complete the frequency trees worksheet
1b) 33/96
2b) 115/300
3b) 44/108
4)
73
55
18
44
11
6
12
Result
Prediction
Pass
Pass
Pass
Fail
Fail
Fail
Activity
Use the frequency trees to answer the questions
Activity
Use the frequency trees to answer the questions
Starter
Replace the question marks with three different mathematical operations to get the right answer.

a) 28
÷
7
X
3
+
5 = 17

b) 5
X
7
+
8
-
3 = 40

c) 6
+
8
x
3
-
7 = 23

d) 12
+
24
÷
6
-
2 = 14

Activities
Activity
Answers

Key
Examples

Worked
Examples

Worked
Examples

2% of adults have anemia. A test is developed to check for for anemia. The test is accurate 95% of the time on people that don't have anemia, and 98% of the time when people do have anemia. 150000 people a year are tested for anemia. Work out how many people will be wrongly told they are anemic.
Full transcript