Transcript What is Data Handling? - Birmingham Grid for Learning

What is Data Handling?
An Introduction
Bridging the gap
to
Teacher Notes
This resource is …
- A simple overview of Data Handling
What is data handling? Why do we do it? What IS data? The slideshow aims to
connect the 3 stages of data handling: collection, presentation and interpretation,
with the main focus on interpretation, using examples of charts/graphs.
- An ideal introduction to ‘Reading bar charts’
- in the School Booster resource at www/bgfl.org/mathsbooster
- User-friendly
- With clear, stepwise examples and answers.
- User-controlled
- You can control how fast or slow you go using the mouse keys.
Teacher Notes
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What is Data Handling?
Read the headlines!
… and …
But where did
these
headlines
come from?
What data do
you think was
collected?
Do you think the
headlines are
always accurate?
Do you believe
(What IS data?)
them?!
… and this …
What is Data Handling?
… and this
First…
things first – what IS data?
In Class 6J,
pupils this
prefer the
…2and
…High Jump
The temperature in
5 pupils prefer the Long Jump
6M’s classroom:
15 pupils prefer the 100m Sprint
3 pupils
prefer the Javelin
6K’s
bedtimes:
5 pupils
prefer
thepm,
300m Relay
8:30pm,
8:00 pm,
7:45
9:30 pm, 7:00 pm, 10:00 pm,
(Total:
30pm,
pupils)
is data …
7:20 pm, 8:15pm,
7:29
11:45 pm, 8:50 pm, 8:15 pm,
9:00 pm, 7:18 pm, 9:25 pm,
10:30 pm, 8:18 pm, 9:00 pm,
pm, 8:40 pm, 7:15 pm,
In Class 6J, 8:55
7:00 pm, 9:32 pm, 7:59 pm,
9:15 pm, 7:10 pm, 9:45 pm,
Height
Number
of Pupils
8:30
pm, 8:25 pm, 9:30 pm
less than 150cm high
9
less than 150cm high
20 (Total: 30 pupils)
more than 200cm high
1
30
Monday
Tuesday
Wednesday
Thursday
Friday
36°C
29°C
28°C
This
30°C
31°C
What is Data Handling?
Data = Information !
So data is information about anything!
… favourites
Data
… how hot
can be
…how many
words
Data
… how tall
can be
… what time
numbers
…how heavy …
What is Data Handling?
Where did the headlines come from?
Someone collected data like this …
In
Class
6J,
In
Class
6J,
In
Class
6J,
InClass
Class6J,
6J,
… and organised it so they could In
...
In
Class
6J,
In
Class
6J,
In9 pupils
Class
6J,
are
less
than
150cm
9
pupils
are
less
than
150cm
high
In
Class
6J,
9
pupils
are
less
than
150cm
high
9
pupils
are
less
than
150cm
high
pupils20
are
lessthan
than150cm
150cm–high
high
pupils
are
less
than
150cm
high
pupils
are
200cm
999pupils
are
less
150cm
20
pupils
are
150cm
–
200cm
hig
In
Class
6L,
Ash
Primary
20
pupils
are
150cm
–
200cm
high
9
pupils
are
less
than
150cm
high
20
pupils
are
150cm
–
200cm
high
…interpret the data like this …
20
pupils
are
150cm
–
200cm
high
20 pupils 1are
150cm
– 200cm
high h
pupil
is more
than 200cm
In
20 pupils
are
150cm
– than
200cm
high
1
pupil
is
more
200cm
high
920
pupils
are
less
than
150cm
high
1
pupil
is
more
than
200cm
high
pupils
are
150cm
–
200cm
high
1
pupil
is
more
than
200cm
high
1
pupil
is
more
than
200cm
high
1
pupil
is
more
than
200cm
high
1 pupil
is more
than
200cm
high
150cm
– 200cm
high
9 20
pupils
areare
than
150cm
high
1pupils
pupil
isless
more
than
200cm
high
In Class
6A,
Oak
Juniors
(Total:
30
pupils)
(Total:
30
pupils)
pupilare
is more
than
200cm
high
(Total:
30
pupils)
20 1
pupils
150cm
–
200cm
high
(Total:30
30pupils)
pupils)
(Total:
30
pupils)
(Total:
(Total:
30
pupils)
1 pupil
more
than
200cm
high
(Total:
30
pupils)
9 pupils
areisless
than
150cm
high
Class
6J,areFirs
Primary
(Total:
30
pupils)high
20 pupils
150cm
– 200cm
(Total:
30 200cm
pupils) high
1 pupil is more
than
Height
Number of Pupils
less than 150cm high
9
(Total: 30 pupils)
less than 150cm high
20
more than 200cm high
1
30
Of course, not all conclusions are sensible!!!
What is Data Handling?
Recap: 3 Steps in Data Handling
3. Interpret the data
Explain it! … Say what it means!
Draw some conclusions!
1. Collect the data
6K’s bedtimes:
8:30pm,Number
8:00 pm,
Height
7:45
pm, 9:30
less than 150cm
high
9 pm,
7:00high
pm, 10:00
less than 150cm
20 pm,
7:20high
pm, 8:15pm,
more than 200cm
1
7:29 pm,
11:45
30 pm,
8:50 pm, 8:15 pm,
9:00 pm, 7:18 pm,
9:25 pm, 10:30 pm,
8:18 pm
Get the information you need
What is Data Handling?
Recap: 3 Steps in Data Handling
Step 1. Collect the data
6K’s bedtimes:
8:30pm,
8:00 pm,
Height
Number
7:45
pm,
less than 150cm high 9:30 9pm,
7:00 high
pm, 10:00
less than 150cm
20pm,
7:20
pm,
8:15pm,
more than 200cm high
1
7:29 pm,
11:45
30
pm, 8:50 pm, 8:15
pm, 9:00 pm, 7:18
pm, 9:25 pm, 10:30
pm, 8:18 pm
Step 2. Organise & display the data
Step 3. Interpret the data
What is Data Handling?
Some data is easy to interpret …
DATA:
In Class
6M,
There are 20 boys
and 10 girls
Interpret means:
Can you explain it?… What does it mean ?
What is Data Handling?
Some data is easy to interpret …
EVEN
BETTER!
1ST
THOUGHTS:
DATA:
In Class
6M,
6M is a mixed
class with both
boys and girls
There are more
boys than girls
EVEN BETTER!
There are 20 boys
and 10 girls
OR …
There are half as
many girls as boys
OR …
There are 10 more
boys than girls
OR …
There are 10 fewer
Interpret means:
girls than boys
it?… What does it mean ?
There are twice as
as girls
Canmany
youboys
explain
What is Data Handling?
Some data is harder to interpret …
6K’s bedtimes:
8:30pm, 8:00 pm, 7:45 pm,
9:30 pm, 7:00 pm, 10:00 pm, 7:20 pm, 8:15pm, 7:29 pm,
11:45 pm, 8:50 pm, 8:15 pm, 9:00 pm, 7:18 pm, 9:25 pm,
10:30 pm, 8:18 pm, 9:00 pm, 8:55 pm, 8:40 pm, 7:15 pm,
7:00 pm, 9:32 pm, 7:59 pm, 9:15 pm, 7:10 pm, 9:45 pm,
8:30 pm, 8:25 pm, 9:30 pm
1ST
How
many did
THOUGHTS:
Do
you get right? How long did it take?
There’s loads of
more
people
to bed
Theregoare
so
numbers!
Before!
AND …
before
or
after
9pm?
many different numbers,
There’s no easy
Try these questions about 6K’s bedtimes.
8 – 9pm
it’s hard
to picture
…or 8 -pattern
– they
Which is the most popular
bedtime:
7
8pm
9pm?
Click for the answers. are all different
How many pupils in 6K go to bed between 8pm and 9pm?
… and even harder to interpret!
10
What is Data Handling?
Some data is harder to interpret …
6K’s bedtimes:
8:30pm, 8:10 pm, 7:45 pm,
9:30 pm, 7:05 pm, 10:15 pm, 7:20 pm, 8:15pm, 7:29 pm,
11:45 pm, 8:50 pm, 8:15 pm, 9:20 pm, 7:18 pm, 9:25 pm,
10:30 pm, 8:18 pm, 9:10 pm, 8:55 pm, 8:40 pm, 7:15 pm,
7:10 pm, 9:20 pm, 7:59 pm, 9:15 pm, 7:10 pm, 9:45 pm,
8:30 pm, 8:25 pm, 9:55 pm
BUT …
If you handle this data the right way,
you can answer these questions in seconds!
What is Data Handling?
Organise the data: organise into groups
with a tally chart
6K’s bedtimes:
8:30pm, 8:10 pm, 7:45 pm,
9:30 pm, 7:05 pm, 10:15 pm, 7:20 pm, 8:15pm, 7:29 pm,
11:45 pm, 8:50 pm, 8:15 pm, 9:20 pm, 7:18 pm, 9:25 pm,
10:30 pm, 8:18 pm, 9:10 pm, 8:55 pm, 8:40 pm, 7:15 pm,
7:10 pm, 9:20 pm, 7:59 pm, 9:15 pm, 7:10 pm, 9:45 pm,
8:30 pm, 8:25 pm, 9:55 pm
7 – 8pm
8 – 9pm
9 – 10pm
9
10
8
10-11pm 11 – 12pm
2
1
What is Data Handling?
This is what a tally chart does!
8:10 pm
7:05 pm
8:15 pm
7:10 pm
8:15 pm
9:10 pm
7:10 pm
8:18 pm
9:15 pm
8:10 pm 10:15 pm
9:10 pm
9:55 pm
8:25 pm
9:20 pm
9:20 pm
10:30 pm 7:10 pm
8:30pm
9:25 pm
7:15 pm
8:25 pm
9:20 pm
7:20 pm
8:15 pm
7:18 pm
7:59 pm
7:18 pm
8:30pm
9:20 pm
8:50 pm
8:55 pm
9:15 pm
7:15 pm
7:20 pm
8:30pm
9:25 pm
9:45 pm
8:18 pm
8:40 pm
11:45 pm
7:29 pm
8:40 pm
9:30 pm
8:30pm
9:30 pm
7:45 pm
7:45 pm,
8:50 pm
9:45 pm
10:15 pm
7:10 pm
8:15pm
7:29 pm
7:59 pm
8:55 pm
9:55 pm
10:30 pm 11:45 pm
7:05 pm
What is Data Handling?
Display the data: bar chart
10
9
8
7
Number 6
of
5
pupils
4
3
2
1
8:10 pm
6K’s Bedtimes
7:05 pm
8:15 pm
7:10 pm
8:15 pm
9:10 pm
7:10 pm
8:18 pm
9:15 pm
7:15 pm
8:25 pm
9:20 pm
7:18 pm
8:30pm
9:20 pm
7:20 pm
8:30pm
9:25 pm
7:29 pm
8:40 pm
9:30 pm
7:45 pm
8:50 pm
9:45 pm
10:15 pm
7:59 pm
8:55 pm
9:55 pm
10:30 pm 11:45 pm
7pm
8pm
9pm
10pm
11pm
to
to
to
to
9pm
10pm
0
. to
8pm
Bedtime
11pm
Midnight
What is Data Handling?
Display the data: bar chart
10
6K’s Bedtimes
9
8
7
Number 6
of
5
pupils
4
graphs make
Did you do
it in
10
seconds?
interpreting
Easy, isn’t
it?
Charts and
3
2
1
0
8pm
9pm
10pm
E-E-E-E-A-S-Y!
. to
to
to
to
11pm
8pm
Midnight
7pm
9pm
10pm
11pm
to
Bedtime
How
many
in go to bed
7pm
andto8pm?
Can you
getpupils
this question
in 10between
seconds?
Click
start.
9
What is Data Handling?
Recap
If you want to find out some astonishing facts
about the world or people around you
… then all you need to do is …
Step 1. Collect the data
eg: using surveys and questionnaires
Step 2. Organise & display the data
eg: using lists, charts, graphs, diagrams
Step 3. Interpret the data
What is Data Handling?
The next step!
Now you’ve learned about data handling
– why not try some?
YOU can become a champion chart-reading achiever!
Or a grandiose graph-cruncher!
So, if you’re looking for a REALLY EASY WAY
to interpret nauseating graph nasties …
Why not try the next PowerPoint:
“Reading bar charts” !
www.bgfl.org/mathsbooster
(School Booster)