This document provides instructions for creating a pie chart from a set of data. It explains how to 1) collect and organize the data, 2) calculate the size of each section by dividing 360 degrees by the total number of data points to get the degrees each represents, 3) draw the pie chart by constructing the angles for each section using a protractor, and 4) label and color the chart. It also discusses how to handle more complex data sets involving larger numbers or decimals.

2. Pi e char t s ar e a gr eat
way t o show t he
compar at i ve si zes of a
set of dat a and now you
can dr aw t hem your sel f
by f ol l owi ng t hese
st eps!

3. I magi ne you have col l ect ed t he f ol l owi ng dat a about t he
eye col our of 60 peopl e and you want t o t ur n i t i nt o a
pi e char t :
1. Col l ect or i dent i f y
your dat a
Eye Col our Number of Peopl e
Gr een 22
Bl ue 13
Br own 17
Ot her 8
Tot al 60

4. Dat um: One pi ece of i nf or mat i on, i n t hi s case t he eye
col our of one per son.
2. Under st and t he pr ocess
A ci r cl e i s a f ul l t ur n of 360˚ .
To f i nd out how bi g each sect i on
of t he pi e char t needs t o be, we
need t o f i nd out how many
degr ees each dat um r epr esent s.

5. Di vi de 360 by t he t ot al
si ze of your sampl e t o
cal cul at e how many
degr ees each dat um ( t he
eye col our of each
per son) i s equal t o.
3. Conver t t he dat a t o
degr ees
360 ÷ 60 = 6˚ per
per son.
Eye Col our Number of
Peopl e
Gr een 22
Bl ue 13
Br own 17
Ot her 8
Tot al 60
Eye Col our Number of
Peopl e
Cal cul at i on Degrees
i n Pi e
Chart
Gr een 22 22 x 6 132
Bl ue 13 13 x 6 78
Br own 17 17 x 6 102
Ot her 8 8 x 6 48
Tot al 60 60 x 6 360
Mul t i pl y t he
number of peopl e
i n each dat a set
by 6 t o cal cul at e
t he si ze of t he
angl e f or t hei r
sect or i n t he pi e
char t .

6. 1. Dr aw a ci r cl e.
4. Dr awi ng your pi e char t
2. Mar k t he r adi us by
j oi ni ng t he cent r e of
t he ci r cl e t o t he edge.
3. Pl ace a pr ot r act or on t he
r adi us and measur e t he angl e
f or your f i r st dat a ‘ sl i ce’ .
4. Dr aw t he l i ne i n t o
compl et e t he sect or .
5. Repeat f or your
r emai ni ng dat a.
6. You shoul d f i nd t hat you
don’ t need t o measur e
your l ast sect or !

7. 5. Label and col our your
char t

8. 6. Wor ki ng wi t h Mor e
Compl ex Dat a Set s
Some dat a set s wi l l i nvol ve l ar ger number s or t he
cal cul at i ons wi l l i nvol ve deci mal s, or bot h. The
pr i nci pl es of cal cul at i ng t he si ze of each sect or
r emai n t he same and any deci mal answer s can be r ounded
t o t he near est degr ee.e. g. Char t t o show how t he t ot al popul at i on of t he Uni t ed Ki ngdom ( 63 200 000) i s
di vi ded bet ween Engl and, Scot l and, Nor t her n I r el and and Wal es.
360 ÷ 63 200 000 = 0. 0000057 degr ees per per son!
Count ry Popul at i on Cal cul at i on Angl e of Sect or
( degrees)
Rounded
( degrees)
Engl and 53 000 000 53 000 000 x 0. 0000057 301. 8987 302
Scot l an
d
5 300 000 5 300 000 x 0. 0000057 30. 21 30
Wal es 3 100 000 3 100 000 x 0. 0000057 17. 67 18
Nor t her
n
I r el and
1 800 000 1 800 000 x 0. 0000057 10. 26 10

9. 7. Cal cul at i ng Sect or
Dat a Usi ng Pi e char t
Angl esThe pr ocess al so wor ks backwar ds, meani ng you can
cal cul at e t he val ue of any gi ven sect or pr ovi ded t he
t ot al dat a si ze i s known.
e. g. Char t t o show t he f avour i t e pi zza f l avour s of 200
chi l dr en.
How many chi l dr en chose
Hawai i an?
360 ÷ 200 = 1. 8 degr ees
per chi l d.
Hawai i an sect or measur es
81 degr ees.
81 ÷ 1. 8 = 45 chi l dr en
Veget ar
i an Hawai i a
n
Mar gher
i t a
Pepper o
ni
Roast
Chi cken

10. Success Cri t eri a
Ai m
Success Cri t eri a
Ai m
I know how t o dr aw a pi e char t
f r om a gi ven set of dat a.
• I know whi ch cal cul at i ons wi l l gi ve me t he cor r ect angl es
f or each of my sect or s.
• I can use a pr ot r act or t o const r uct t he angl es r equi r ed by
my pi e char t .