Year 6: Handling Data

1
Year 6 Handling Data
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Probability Graph Stories
Looking At Bar Graphs Mean
Looking at Line Graphs Median
Looking at Pie Charts Mode
2

• Probability. What are the chances of that?

Certain
Something will definitely happen.
Likely
Something will probably happen, but it is not
certain.
5050 Chance
Something has exactly half a chance of happening.
Something is unlikely. It has more chance of not
happening.
Unlikely
Impossible
Something will never happen.
Probability is all to do with how likely, or
unlikely events are to happen. Click on the words
to see what they mean.
3
Click on the statements to watch them being
placed on the probability line
It will snow in May
2012 is a leap year
Year 5 will get homework
It will rain in April
The sun rises in the west
Burnley win the FA Cup
The moon orbits Earth
Xmas will be in March
Pick red card from a deck
A coin lands on heads
Certain
Likely
5050 Chance
Unlikely
Impossible
4
Probability Number Line
½ or 50 chance
Impossible 0 chance
Certain 100 chance
¾ or 75 chance
¼ of 25 chance
Reveal
Reveal
Reveal
Reveal
Reveal

• Rolling 7 on an ordinary 6 sided dice

• Choosing one Year Group in a Junior School
  (Years 3 to 6)

• Rolling an odd number on a dice

• Choosing a red counter from a bag that has 6 red
  and 2 blue counters in it.

• Choosing any card other than an Ace from a pack
  of cards

5
Probability Spinners
There is a ¼ (25) chance of the spinner landing
on red.
There is a ½ (50) chance of the spinner landing
on blue.
There is a ¼ (25) chance of the spinner landing
on green.
Click on the colour to find out the probability
of the spinner landing on it.
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There is a ¼ chance (25) of the spinner landing
on blue.
There is a 1/8 chance (12.5) of the spinner
landing on yellow.
There is a 1/8 chance (12.5) of the spinner
landing on red.
There is a 3/8 (37.5) chance of the spinner
landing on green.
There is a 1/8 chance (12.5) of the spinner
landing on purple.
Click on the colour to find out the probability
of the spinner landing on it.
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Probability Teachers Resource
Add red ball
Add yellow ball
Add green ball
Add blue ball
Clear All
8
Probability Number Cards.Sanjay has eight number
cards in his hands. This is what he has
1
4
3
2
7
7
2
7
Which number is most likely to come up?
Is it more likely to pick an even or odd number?
7
Odd (5/8)
What are the chances of picking 2?
What are the chances of picking 1 or 3?
¼ chance
¼ chance
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Reveal the CardClick on the card to reveal what
it is
4
9
4
5
9
?
?
?
?
?

• There is a ½ chance the number is odd

• There is 1/10 chance the card is 2

• It is twice as likely to pick a 4 than a 2.

5
2
8
5
8
?
?
?
?
?

• There is 1/5 chance of picking an 8.

• There is a 7/10 chance of picking a number 5 or
  more.

10
Interpreting Graphs
Approximately, how many people watched Swansea?
Different football clubs have different
attendances. This graph shows the average
attendance for each club.
12,000
7,900
How many more people watched Bristol City than
Brighton?
10,000
8,000
2,800 approx
6,000
Which club had about 7,300 watching them?
4,000
Barnsley
2,000
How many people watch Torquay?
0
1,800 approx
Barnsley
Brighton
Swansea
Torquay
Bristol City
11
Creating a Climate GraphThis information shows
the average temperature for each month. Click
each month to show it on the graph.
26
24
January
3
22
February
4
20
18
March
8
16
April
11
14
May
16
12
June
22
10
July
26
8
6
August
24
4
September
20
2
October
15
0
November
11
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
December
6
12
Climate Graph MoscowClick on each bar to reveal
the monthly temperature.
22
20
January
-7
18
February
-6
16
14
March
0
12
April
2
10
May
9
8
June
17
6
July
22
4
2
August
21
0
September
14
-2
October
6
-4
November
1
-6
December
-5
-8
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
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Creating a Graph
Here is some information that will need a
different type of graph
Length of Time Distance Travelled
900 0 Miles
930 8 Miles
1000 40 Miles
1030 55 Miles
1100 80 Miles
1130 82 Miles
As this couple have two sets of numbers the best
graph to draw is a line graph. This will help us
to find out where we were at times like 1045
too! Go to the next slide to see the graph.
We timed the journey to our holiday destination.
Here are our results
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80
60
Length of Time Distance Travelled
900 0 Miles
930 8 Miles
1000 40 Miles
1030 56 Miles
1100 75 Miles
1130 82 Miles
1200 83 Miles
Miles Travelled
40
20
0
1200
1100
1130
900
930
1000
1030
Time of Day
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Creating a Graph
Here is some more information
Length of Time Temperature
Start Time 85
2 Minutes 79
4 Minutes 75
6 Minutes 68
8 Minutes 65
10 Minutes 63
12 Minutes 60
As this girl has two sets of numbers the best
graph to draw is a line graph. This will help us
read the temperature for the odd number minutes
too! Go to the next slide to see the graph.
I timed how long it would take for the ice cubes
to melt. Here are my results
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Length of Time Temp.
Start Time 85
2 Minutes 79
4 Minutes 75
6 Minutes 68
8 Minutes 65
10 Minutes 63
12 Minutes 60
Start
85
80
Water Temperature
75
70
65
60
55
Start
2 Mins
4 Mins
6 Mins
8 Mins
10 Mins
12 Mins
Time
17











Interpreting GraphsSam measured his pulse as he
did different exercises
90
80
Beats per minute
What was Sams pulse after 1 minute?
70
How many minutes had passed when his pulse was
75?
Between which minutes was Sam doing the hardest
exercise?
60
What was Sams pulse at the start and end?
50
6 mins
Time
4 mins
5 mins
0 mins
1 min
2 mins
3 min
18
Interpreting GraphsGeorgia measured the
temperature outside for a day.
Start
12
10
Temperature
8
5
4
What times was it when the temperature was 8
What was the temperature difference between the
coldest and warmest times of day?
What was the temperature at 11am?
What time of day was it the warmest?
2
0
8am
10am
12pm
2pm
4pm
6pm
8pm
Time of Day
19
Pie Charts
Pets Number of Children
Dogs 8
Cats 7
Rabbits 3
Fish 2
Other 5
Show Pie Chart
I asked my class of 25 children what their
favourite pet was. Here are their results
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A pie chart to show 6Ts favourite TV programmes
If 8 children liked Coronation Street, estimate
how many children like Emmerdale?
How many children are in 6T?
Estimate how many children like watching films.
21
Questions Based on a Pie Chart 6Ps Favourite
Subjects
Which subject is the least popular?
Literacy
16 children like P.E. How many children like D.T.?
8 children
Estimate how many children like Art.
2-4 children
How many children are in the class?
32 children
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Every Graph tells a Story
The temperature throughout the year!
Temperature
Summer Months
Winter months
Months of the Year
What do you think this graph is about?
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Every Graph tells a Story
The kettle boils and turns itself off
A kettle boiling!
The kettle heats up
The water steadily and slowly cools down.
Temperature
Time
What do you think this graph is about?
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Every Graph tells a Story
The parachutist is in the aeroplane
A parachutist!
He jumps out the plane.
He opens the parachute
Height
He safely reaches the ground.
Time
What do you think this graph is about?
25
Every Graph tells a Story
The noise level on the playground!
Play time. Noisy children!
Lunchtime
Sound Level (Decibels)
Lesson time. The playground is quiet.
1030
1230
Time of Day
What do you think this graph is about?
26
Every Graph tells a Story
Pulse rate before, during and after exercise!
Exercising
The pulse rate returns to normal.
Exercise Stops
Pulse
Before exercise
Time
What do you think this graph is about?
27
Every Graph tells a Story
The story of bathtime!
Person stays in the bath
Tap is turned off
Water drains away
Person climbs out of the bath
Person climbs into the bath
Water Level
Filling the bath with water
Time
What do you think this graph is about?
28
Finding the Mean of a Set of Numbers
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3
2
6
5
4
4
24 6 4 total how many numbers
The mean (average) of all these numbers is 4.
The mean is the same as average. To find the
mean, we have to add up all the numbers
Then we have to divide this total by however many
numbers we had...
29
Finding the Mean of a Set of Numbers
Peter
20
3
12
5
10
50 5 10
Jessica
8
15
17
10
50 4 12.5
Lucy
2
8
9
50
3
6
78 6 12
Peter, Jessica and Lucy are playing darts. Can
you work out their mean score?
As Jessica has the highest mean score, it could
be said that she is the best darts player!
30
Finding the Median of a Set of Numbers
3
2
6
5
4
4
This is the midway point.
The median of all these numbers is 4.
The median is the number in the middle. To
calculate the median, first we have to put the
numbers in order.
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Finding the MedianCatherine picks eight number
cards.
8
4
5
2
9
7
2
7
Order Cards
2
2
4
5
7
7
8
9
Show Median
Halfway between 5 and 7 is 6
32
Finding the Mode of a set of numbers
3
6
5
3
8
3
3
2
3
5
2
5
6
3
8
6
The mode is 3. It has come up the most! (6 times)
The mode of a set of numbers means which number
has come up the most. Have look at these
numbers...
33
Median, Mean and ModeLook at these number
cards. Can you calculate the mean, median and
mode?
5
4
7
2
9
7
1
2
3
5
7
1
7
9
The total is 35. 35 7 5 The mean is 5.
The halfway number is 5. The median is 5.
Number 7 comes up the most. The mode is 7.
Show Mean
Show Median
Show Mode
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Teachers Resource Mean, Median and Mode
5
4
Add 1
Add 6
2
4
8
8
1
4
4
2
9
3
2
7
2
Add 2
Add 7
7
6
1
4
5
5
1
8
7
6
9
Add 3
Add 8
6
8
3
9
6
7
8
6
7
2
5
Add 4
Add 9
6
1
3
5
4
7
3
9
9
5
Add 5
Clear All
8
3
1
1
2
9
3