Download - Mean From a Grouped Table
We are learning to:- Enhance Mathematical core skills knowledge. (Which PLT skills?) -Calculate the mean from a grouped frequency table. (Grade C)
Always aim high!LESSON OBJECTIVES
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PLT Skills Which ones are you using?
Where are we in our
journey?
Real life cross/curricular
links?AUTHOR
LEARNING JOURNEY
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using?PLT Skills
STARTER
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EXTENSION
TASK1) 2) 3)
4)
51 x 3617793 ÷ 3 First 3 terms of:n - 1
5)
6)
or31
7)
Factorise:x - 9x
8)
Solve:5(x + 2) = 40
9)
Share £39 in the ratio 4:9
Find the product of prime factors of 30.
= 1836= 0, 3, 8
x(x - 9) 5x + 10 = 405x = 30x = 6
4 139
13
of
of
£39
£39
=
=
£12
£27
3 + 4= 27 + 16 = 43
= 5931 2
9 x 41
4= 9
= 21
4
3 2
52
Which is bigger?
=155
156
is bigger2
5
2
MIDPOINT(X)
FX
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PLT Skills Which ones are you using?Mean from a table
POCKET MONEY FREQUENCY (F)
0 < P ≤ 1 2
1 < P ≤ 2 5
2 < P ≤ 3 5
3 < P ≤ 4 9
4 < P ≤ 5 15
EXAMPLEFind the estimate of the mean and modal groupfrom the table below:
x
xxxx
TOTAL = 36
0.5
ESTIMATED MEAN = FX total F total =
120 36
One with highest frequencyMODAL GROUP =
= £3.33
MEAN = FX totalF total
1.52.5
3.5
4.5
17.5
12.531.5
67.5
120
= 4 < P ≤ 5
Effective Participator
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Task (Grade C)Mean from a table
1) 2)
3) 4)
Calculate the estimate of the mean and modal group from the table above.
Calculate the estimate of the mean and modal group from the table above.
Calculate the estimate of the mean and modal group from the table above.
Calculate the estimate of the mean and modal group from the table above.
Score Frequency Midpoint fx
1-5 11
6-10 12
11-15 15
16-20 9
21-25 3
Total
Marks Frequency Midpoint fx
10-19 7
20-29 5
30-39 8
40-49 15
50-59 25
Total
Mass Frequency Midpoint fx
50-54 17
55-59 52
60-64 36
65-69 12
70-74 4
Total
Height Frequency Midpoint fx130 ≤h<135 10 135 ≤h<140 15 140 ≤h<145 17 145 ≤h<150 11 150 ≤h<155 2
Total
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Task (Grade C)Answers
1) 2)
3) 4)
Score Frequency Midpoint fx
1-5 11 3 336-10 12 8 96
11-15 15 13 19516-20 9 18 16221-25 3 23 69Total 50 Total 555
Marks Frequency Midpoint fx10-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 15 44.5 667.550-59 25 54.5 1362.5Total 60 Total 2530
Mass Frequency Midpoint fx50-54 17 52 88455-59 52 57 296460-64 36 62 223265-69 12 67 80470-74 4 72 288Total 121 Total 7172
Height Frequency Midpoint fx130 ≤h<135 10 132.5 1325135 ≤h<140 15 137.5 2062.5140 ≤h<145 17 142.5 2422.5145 ≤h<150 11 147.5 1622.5150 ≤h<155 2 152.5 305
Total 55 Total 7737.5
Estimated Mean = 555/50=11.1Estimated Mean = 2530/60=42.17
Estimated Mean = 7172/121=59.27 Estimated Mean = 7737.5/55=140.68
Modal Group = 11-15Modal Group = 50-59
Modal Group = 55-59 Modal Group = 140 ≤h<145
DISCOVERY
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LINK BACK TO OBJECTIVES
- Calculate the mean from a grouped frequency table.
What grade are we
working at?
What have you learnt?
In your brain, write or draw everything you can remember about calculating the mean from a grouped frequency table. It can be a skill or a reflection, or something else that might be prominent
in your brain.
Draw your brain
What grade we working
at?
Where are we in our
journey?
.
How well do you understand the task?
I don’t understand
I nearly understand
I fully understand
Effective Participator
Self Manager
Independent Enquirer
Creative Thinker
Team Worker
Reflective Learner
PLT Skills Which ones are you using?
Plenary Activity
On your post it notes…
Think about how you can improve your
work.
WWW (What Went Well)
EBI (Even Better If)
FREQUENCY POLYGONS1)
2)