Unbenannt.notebook

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February 13, 2015

Jun 1915:36

L.O.• all pupils can gather information

• all pupils can organise collected data

Experimental Probability Data Collection

Jun 2508:27

Main 1: gather information

On your paper write down you height (estimate if you do not know) and your 

handspan

Height:

Handspan:

Jun 1915:37

Main 1:Height

gather information

Handspan

Jun 1915:36

L.O.• all pupils can gather information

• all pupils can organise collected data

Experimental Probability Data Collection

Jun 1915:37

Main 2: organise collected data

o Tally Chartso Two Way Tableso Stem and leaf diagramso Bar Chartso Histogramso Pie Chartso Scattergraphs (line of best fit,

correlation, linear regression)o Types of Average (mean, median,

mode, interquartile range)o Cumulative Frequency Diagramso Boxplots

Jun 1915:37

Main 2: organise collected data

There are worksheets for these topics - the worksheet is available on the website

and I will set you homework on it.

I haven't printed it off as it is 20 pages long.

Unbenannt.notebook

2

February 13, 2015

Jun 1915:37

Main 2: organise collected data

o Tally Charts

Firstly, lets practice

Jun 1915:37

Main 2: organise collected datao Tally Charts

Don't forget to label your right hand

column 'Frequency'

Jun 1915:37

Main 2: organise collected data

o Tally Charts

Organise you data into:

Height

Handspan

Feb 911:17

Main 2: organise collected data

o Two Way Tables

Feb 911:17

Main 2: organise collected datao Two Way Tables

1. How many students participated in the survey?2. How many students said they "like" snowmobiles?3. How many of the students "like" snowmobiles, but

"do not like" skateboards? 4. How many students said they "do not like"

skateboards?

Jun 1915:37

Main 2: organise collected data

Firstly, lets practice

o Stem and leaf diagrams

Unbenannt.notebook

3

February 13, 2015

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

What do you think a stem and leaf diagram could look like?

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

Here are the marks gained by 30 students in an examination:63 58 61 52 59 65 69 75 70 54 57 63 76 81 64 68 59 40 65 74 80 44

47 53 70 81 68 49 57 61

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

Unbenannt.notebook

4

February 13, 2015

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

Worksheet to:a) read off valuesb) create stem and leaf diagramsc) read off further information

Jun 1915:37

Main 2: organise collected datao Stem and leaf diagrams

What are the arrows indicating?

Jun 1915:37

Main 2: organise collected data

Organise you data into:

Height

Handspan

o Stem and leaf diagrams

Jun 1915:37

Main 2: organise collected data

Firstly, lets practice

o Bar Charts

Unbenannt.notebook

5

February 13, 2015

Jun 1915:37

Main 2: organise collected datao Bar Charts

Jun 1915:37

Main 2: organise collected dataOrganise you data into:

Height

Handspan

o Bar Charts

Jun 1915:37

Main 2: organise collected data

Firstly, lets practice o Histograms

Jun 1915:37

Main 2: organise collected datao Histograms

Jun 1915:37

Main 2: organise collected datao Histograms

This is a HistogramHow is it different

to a bar chart?

Jun 1915:37

Main 2: organise collected datao Histograms

Key Points:• NO GAPS

• area of bar is proportional to frequency• frequency density is on the y axis

• f.d. = freq class width

Unbenannt.notebook

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February 13, 2015

Jun 1915:37

Main 2: organise collected datao Histograms

On a histogram, the area of the bar tells us the _______ . On a bar chart, the ____ of the bar tells us the frequency.

On a histogram, the y-axis shows the ________

On a histogram, the bars are ________ of equal width.

On a _______ there are no gaps between bars

heightfrequencywidth

frequency density

alwayssometimes Bar Chart

Histogram

Jun 1915:37

Main 2: organise collected datao Histograms

Frequency density = frequency class width

Freq

uenc

y de

nsit

y

class width

Freq

uenc

y

Jan 1717:22

Find the class width for the following intervals:1) 0 ≤ t < 10

2) 10 ≤ t < 25

3) 25 ≤ t < 45

4) 45 ≤ t < 60

5) 60 ≤ t < 80

6) 80 ≤ t < 90

Main 2: organise collected datao Histograms

Jan 1717:22

Time Frequency Frequency density

0 ≤ t < 10 30 30 ÷ 10 = 310 ≤ t < 25 30 30 ÷ 15 = 225 ≤ t < 45 20 20 ÷ 20 = 145 ≤ t < 60 45 45 ÷ 15 = 360 ≤ t < 80 80 80 ÷ 20 = 480 ≤ t < 90 60 60 ÷ 10 = 6

Main 2: organise collected datao Histograms

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