Tables Charts

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Tables Charts Graphs
Relative Frequency
Reading Pie Charts
Constructing Pie Charts
Cumulative Frequency Tables
Cumulative Frequency Graphs
Dot Plots
Five Figure Summary
Box Plots
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Starter Questions
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Tables Charts Graphs
Relative Frequency
Learning Intention
Success Criteria

1. Know the term relative frequency.

1. To understand the term relative frequency.

1. Calculate relative frequency from data given.

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Tables Charts Graphs
Relative Frequency always added up to 1
Relative Frequency
Relative Frequency How often an event happens
compared to the total number of events.
Example Wine sold in a shop over one week
Country Frequency Relative Frequency
France 180
Italy 90
Spain 90
Total
0.5
180 360
0.25
90 360
0.25
90 360
1
360
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Tables Charts Graphs
Relative Frequency
Relative Frequency How often an event happens
compared to the total number of events.
Example Calculate the relative frequency for
boys and girls born in the Royal Infirmary
hospital in December 2007.
Relative Frequency adds up to 1
Boys Girls Total
Frequency 300 200
Relative Frequency
500
0.6
0.4
1
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Tables Charts Graphs
Relative Frequency
Now try Exercise 1 Ch10 (page 138)
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Starter Questions
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Pie Charts
Reading Pie Charts
Learning Intention
Success Criteria

1. Find the relative frequency for an angle with in
   a Pie Chart.

1. To interpret information from Pie Charts.
2. Use relative frequency to interpret Pie Chart
information.
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Reading Pie Charts
Pie charts can be thought of as circle graphs.
Two step process

• 1. Work out relative frequency of each angle.
• 2. Then multiply by the total amount that the
  circle represents.

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Pie Charts
A drinks machine dispenses 500 drinks on a
Monday. The information is displayed in the pie
chart. Use the information to find the number of
each drink sold.
Use the two step process
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Tables Charts Graphs
Reading Pie Charts
Now try Exercise 2 Ch10 (page 140)
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Starter Questions
2cm
3cm
29o
4cm
A
C
70o
53o
8cm
B
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Pie Charts
Constructing Pie Charts
Learning Intention
Success Criteria

1. Find fractions of 360o.

1. To construct an accurate Pie-Chart from a
given table using fractions of 360o.
2. Use these fractions to construct a Pie Chart
given in a table.
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Total
300
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Rugby
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Football
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Cricket
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Squash
Ice Hockey
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Constructing Pie Charts
Now try Exercise 3 Ch10 (page 141)
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Starter Questions
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Cumulative Frequency Tables
Learning Intention
Success Criteria

1. Add a third cumulative column to a frequency
   table.

1. To explain how to construct a cumulative
Frequency Table.
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Cumulative Frequency Tables
Example This table shows the number of cars
sold by a motor dealership each day over a seven
day period.
Day Freq. (f)







Cum. Freq. Total so far
2
1
2
A third column is added to keep a running total.
This makes it easier to get the total number of
items.
3
2
5
1
3
6
6
4
12
5
5
17
6
8
25
7
4
29
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Cumulative Frequency Tables
Construct a cumulative frequency table for this
data
Frequency C. Freq.






Total
Shoe Size
1
1
1
4
2
5
5
3
10
14
4
24
2
5
26
4
6
30
30
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Cumulative Frequency Tables
Now try Exercise 4 Ch10 (page 143)
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Starter Questions
Waist Sizes Frequency
28 7
30 12
32 23
34 14
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Cumulative Frequency Tables
Learning Intention
Success Criteria

1. Be able to construct a cumulative frequency graph.

1. To show how to construct a cumulative
frequency graph from cumulative frequency table.
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Cumulative FrequencyGraphs

• How to draw a cumulative frequency graph

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Plot
How to construct a Cumulative Frequency Graph
Km travelled on 1 gallon (mpg) Frequency Cumulative Frequency
20 3 3
25 8 11
30 19 30
35 23 53
40 16 69
45 7 76
50 4 80
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Cumulative FrequencyGraphs
Sometimes called an S curve graph
Write down a question you could ask about this
graph.
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Cumulative FrequencyGraphs
Now try Exercise 5 Ch10 (page 145)
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Starter Questions
10cm
90o
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Dot Plot
Learning Intention
Success Criteria

1. Be able to construct a dot and identify the key
   features of various plots.

1. To show how to construct a dot plot and
identify key feature..
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Dot Plot

• Dot plots are a very simple yet useful way of
  getting a feel for data using the number line.

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Write down as many key points that you can deduce
from the plot.

1. Lowest value is 56 BPM.
2. Highest value is 74 BPM.
3. Mode is 62.
4. Median is also 62.
5. Distribution is fairly flat.

Dot Plot
Example A group of students measure their pulse
rates when resting. The rates are 66, 69, 62,
58, 74, 56, 67, 72, 61, 62, 59
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By looking at the shape of the distribution try
and describe the 6 types we have.
Dot Plot
Common expressions for various dot plots.
Symmetrical distribution
Widely spread out distribution
Uniform distribution
Tightly clustered distribution
Skewed to the right distribution
Skewed to the left distribution
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Dot Plot
Now try Ex. 6 (page 147)
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Starter Questions
33o
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Five Figure Summary
Learning Intention
Success Criteria

• Understand the terms
• L , H, Q1, Q2 and Q3.

1. To explain the meaning and show how to
workout the five summary information for a set of
data.

• Be able to work
• L , H, Q1, Q2 and Q3
• For a set of data

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Five Figure Summary

• When a set of numbers are put in ORDER,
• it can be summarised by quoting five figures.

1. The highest number (H)
2. The lowest number (L)
3. The median, the number that halves the list
(Q2)
4. The upper quartile, the median of the upper
half (Q3)
5. The lower quartile, the median of the lower
half (Q1)
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Five Figure Summary
Q2 Median (middle value)
Q1 lower middle value
Q3 upper middle value
Example Find the five figure summary for the
data. 2, 4, 5, 5, 6, 7, 7, 7, 8, 9, 10
The 11 numbers are already in order !
7
8
5
Q3
Q2
Q1
7
L
H
10
2
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Five Figure Summary
Q2 Median (middle value)
Q1 lower middle value
Q3 upper middle value
Example Find the five figure summary for the
data. 2, 4, 5, 5, 6, 7, 7, 8, 9, 10
The 10 numbers are already in order !
8
Q3
Q2
Q1
6.5
5
L
H
10
2
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Five Figure Summary
Q2 Median (middle value)
Q1 lower middle value
Q3 upper middle value
Example Find the five figure summary for the
data. 2, 4, 5, 5, 6, 7, 8, 9, 10
The 9 numbers are already in order !
6
8.5
Q3
Q2
Q1
4.5
6
L
H
10
2
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Five Figure Summary
Now try Exercise 7 Ch10 (page 150)
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Starter Questions
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Box Plot
Learning Intention
Success Criteria

1. Be able to construct a box plot using the five
   figure summary data.

1. To show how to construct a box plot using
the five figure summary.
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Median drive 90 yards
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Finding the median, quartiles and inter-quartile
range.
Example 1 Find the median and quartiles for the
data below.
12, 6, 4, 9, 8, 4, 9, 8,
5, 9, 8, 10
Order the data
4, 4, 5, 6, 8, 8, 8, 9,
9, 9, 10, 12
Inter- Quartile Range 9 - 5½ 3½
Semi Inter- Quartile Range 3½ 2 1¾
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Finding the median, quartiles and inter-quartile
range.
Example 2 Find the median and quartiles for the
data below.
6, 3, 9, 8, 4, 10, 8,
4, 15, 8, 10
Order the data
3, 4, 4, 6, 8, 8, 8, 9,
10, 10, 15,
Inter- Quartile Range 10 - 4 6
Semi Inter- Quartile Range 6 2 3
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Lower Quartile
Upper Quartile
Lowest Value
Highest Value
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Box Plot
Now try Ex 8 9 Ch10 (page 152)