www.mathsrevision.com S3.3 Tables & Charts Tables & Charts Jun 22, 2022 Jun 22, 2022 Created by Mr. Created by Mr. [email protected][email protected]Frequency Tables / Relative Frequenc Five Figure Summaries Cumulative Frequency Table Stem-leaf Diagrams Back to Back Stem Leafs Scatter Diagrams Box Plots
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Www.mathsrevision.com S3.3 Tables & Charts 11-Jun-14Created by Mr. [email protected] Frequency Tables / Relative Frequency Five Figure Summaries.
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S3.3
Tables & ChartsTables & Charts
Apr 10, 2023Apr 10, 2023 Created by Mr. Created by Mr. [email protected]@mathsrevision.com
Frequency Tables / Relative Frequency
Five Figure Summaries
Cumulative Frequency Table
Stem-leaf Diagrams
Back to Back Stem Leafs
Scatter Diagrams
Box Plots
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S3.3
Starter QuestionsStarter Questions
Apr 10, 2023Apr 10, 2023 Created by Mr. Created by Mr. [email protected]@mathsrevision.com
Q1. Does 5x2 – 16x + 3 factorise to (5x - 1)(x – 3)
Q2. Change into £’s €75
exchange rate £1 € 1.5
Q3. Convert to scientific notation 0.0675
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10 Apr 202310 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty 33
Aims of the Lesson
1. Understand the term
Frequency Table and Relative Frequency .
2. Construct a Frequency/Relative Frequency Table.
3. Interpret information from Tables.
10 Apr 2023 4
Raw data can often appear untidy and difficult to understand. Organising such data into frequency tables can make it much easier to make sense of (interpret) the data.
Frequency tables
Data Tally Frequency
Sum of Tally is the Frequency
llll represents a tally of 5
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Example 1. A tomato grower ideally wants his tomatoes to have diameters of 60mm, but a diameter ranging from 58mm to 62mm will be acceptable. Organise the diameters given below into a frequency table.
58
59
58
56
62
56
57
60
61
59
59
57
60
60
56
59
58
58
59
56
61
60
56
58
58
62
59
58
6061596257
5960566160
6258616260
5956586262
Frequency tables
Lowest number 56
Highest number 62
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Diameter Tally Frequency
56
57
58
59
60
61
62
l
l
l
l
l
l
Frequency tables
58
60
58
56
59
59
57
60
61
59
59
57
60
60
56
59
58
58
59
56
61
60
57
58
58
62
59
58
6061596257
5960596159
6258615960
5960586062X X X X X X
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Diameter Tally Frequency
56
57
58
59
60
61
62
Total
Frequency Tables
3
4
9
13
5
10
4
lll
llll
llll
llll
llll
llll
llll llll lll
llll
llll
58
60
58
56
59
59
57
60
61
59
59
57
60
60
56
59
58
58
59
56
61
60
57
58
58
62
59
58
6061596257
5960596159
6258615960
5960586062X X X X X X X X X X X X
X X X X X X X X X X X XX X X X X X X X X X X XX X X X X X X X X X X X
Relative Frequency
R48
3 ÷ 48 = 0.0625
4 ÷ 48 = 0.0833
9 ÷ 48 = 0.1875
13 ÷ 48 = 0.2708
10 ÷ 48 = 0.2083
5 ÷ 48 = 0.1042
4 ÷ 48 = 0.0833
Relative Frequency
always adds up to 1
Relative Frequency used with Pie charts
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10 Apr 202310 Apr 2023 Created by Mr. Created by Mr. [email protected]@mathsrevision.com
Now try Ex 3.1Q2
Ch6 MIA (page 108)
Charts & TablesCharts & Tables
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S3.3
Starter QuestionsStarter Questions
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
1. Find the mean, range and median for the set of data.
9, 1, 5, 5, 8, 2, 4, 6
Q2. Find the area for the shapes
Q3. Write in standard form 0.008654
(w - 2)
7
(x – 5)
(x – 3)
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10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
1.1. Add a third column to a Add a third column to a frequency table to create a frequency table to create a Cumulative Frequency Cumulative Frequency Table.Table.
1. To explain how to construct a Cumulative Frequency Table.
Cumulative Cumulative Frequency TablesFrequency Tables
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10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
DayDay Freq.Freq.
(f)(f)
Example : This table shows the numberof eggs laid by a clutch of chickens eachday over a seven day period.
2
1
5
6
3
1
2
3
4
5
A third column is added to keep a running total
(Cumulative Frequency Table). This makes it easier to
get the total number of items.
2
6
17
12
5
Cum. Freq.Cum. Freq.Total so farTotal so far
Cumulative Cumulative Frequency TablesFrequency Tables
7
6 8
4
25
29
You have 1 minute to come up with a question you can easily answer from the table.
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10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 3.2Ch6 (page 109)
Cumulative Cumulative Frequency TablesFrequency Tables
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S3.3
Starter QuestionsStarter Questions
Apr 10, 2023Apr 10, 2023 Created by Mr. Created by Mr. [email protected]@mathsrevision.com
Q1. Factorise
4x2 + 9x - 9
Q2. Multiply out
(a) a(ab – a) (b) -2a( b2 – a)
Q3. 3 7
5 15
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10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Question: Gemma recorded the heights in cm of girls in the same class and constructed a box plot from the data. The box plots for both boys and girls are shown below. Use the box plots to choose some correct statements comparing heights of boys and girls in the class. Justify your answers.
Drawing a Box Plot.
130 140 150 160 170 180 190
Boys
Girls
cm
1. The girls are taller on average.
3. The girls show less variability in height.
5. The boys show less variability in height.
4. The smallest person is a girl
6. The tallest person is a boy
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10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try Ex 6.1Ch6 (page 117)
Box Plot Box Plot
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S3.3
Starter QuestionsStarter Questions
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
21. Factorise x +11x+28
2. Explain why 2(x + 5) = x + 12 when x = 2
2 1 133. I s it true that 3 + 2 5
3 5 15
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10 Apr 202310 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.