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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.
50:50 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
50:50 Chance
Unlikely
Impossible

4. Probability Number Line
½ or 50% chance
Impossible
0% chance
¼ of 25% chance
¾ or 75% chance
Certain 100% 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.

6. 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.

7. Probability: Teacher’s 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
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

9. Reveal the Card Click on the card to reveal what it is4 ? ? 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?
1,800 approx
Barnsley
Brighton
Swansea
Torquay
Bristol City

11. Creating a Climate Graph This information shows the average temperature for each month. Click each month to show it on the graph.
26°
24°
January 3°
22°
20°
February 4°
18°
March 8°
16°
April
11°
14°
May
16°
12°
June
22°
10° 8°
July
26° 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: Moscow Click on each bar to reveal the monthly temperature.
22°
20°
January
-7°
18°
16°
February
-6°
14°
March 0°
12°
April 2°
10°
May 9° 8°
June
17° 6° 4°
July
22° 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

13. Here is some information that will need a different type of graph
Creating a Graph
Here is some information that will need a different type of graph
Length of Time
Distance Travelled
9:00
0 Miles
9:30
8 Miles
10:00
40 Miles
10:30
55 Miles
11:00
80 Miles
11:30
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 10:45 too! Go to the next slide to see the graph.
We timed the journey to our holiday destination. Here are our results:

14. 80 60 40 20 12:00 9:00 9:30 10:00 10:30 11:00 11:30 Miles Travelled
Length of Time
Distance Travelled
9:00
0 Miles
9:30
8 Miles
10:00
40 Miles
10:30
56 Miles
11:00
75 Miles
11:30
82 Miles
12:00
83 Miles
Miles Travelled 40 20
12:00
9:00
9:30
10:00
10:30
11:00
11:30
Time of Day

15. Here is some more information
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:

16. Water Temperature Time 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 Graphs Sam measured his pulse as he did different exercises90 80
Beats per minute
What was Sam’s 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 Sam’s pulse at the start and end? 50
6 mins
Time
0 mins
1 min
2 mins
3 min
4 mins
5 mins

18. Interpreting Graphs Georgia 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:

20. A pie chart to show 6T’s 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: 6P’s 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

22. 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?

23. 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?

24. 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!
Sound Level (Decibels)
Lunchtime
Lesson time. The playground is quiet.
10:30
12:30
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
= 24 3 6 4 5 2 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
As Jessica has the highest mean score, it could be said that she is the best darts player!
Peter, Jessica and Lucy are playing darts. Can you work out their mean score?

30. Finding the Median of a Set of Numbers3 6 4 5 2 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.

31. Finding the Median Catherine 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 numbers3 6 3 5 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 Mode Look at these number cards
Median, Mean and Mode Look at these number cards. Can you calculate the mean, median and mode? 5 4 7 2 9 7 1 1 2 3 5 7 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 Mode
Show Mean
Show Median

34. Teacher’s Resource: Mean, Median and Mode5 4
Add 1 8 2 8 4
Add 6 1 4 4 2 9 3 2 7 2
Add 2
Add 7 7 6 1 5 4 5 1 8 7 6
Add 3 9
Add 8 8 6 3 9 6 8 7 7 6 5 2
Add 4
Add 9 1 6 5 3 4 7 3 9 9
Add 5 5
Clear All 8 3 1 1 2 9 3