Answtrs
Algebra I Honors
c·
Data Analysis & Graphs Packet
Name:
Date: ~()(1..(
Period:
Distribution of Libby's 150
Minutes of Daily Exercise
For #1-3, use the graph to the right.
1. What percent of minutes are spent
40
imming?
1!1 swimming
4°/,so -=- aro~~ 6 fa ar d.G o/3%
• weights
2. What percent of minutes are spent running?
6"0 /I ~0
3. How much more time Is spent running
than doing sit-ups?
D sit-ups
:=:(y 0%3
fZl push-ups
D running
~0- (JD-_--'---;>;--I~O
-m_o_re__('(',-in_u_
s _ctre. s ~r.P
ruont nc than do in
.s,t-vps.
Distribution O·f Cindy's WeekJ,y Take Home Pay
For #4-6, use the graph to the left.
4.
I
ezi0
•car
Ill Food
I1 ~. .
• Mlsce!tat~eoo.s
e~tertainment? -~
Miscellane<~us
~.
s1s
L__
.spt'C1ds·"'S5 -.,:1
fOod arn~·en-k!_Wl~
What is her total w~ly take home p~?R;,~
qO+IO+L.fO+ 15+3ot-fS :::::~
$10
Retail Car Sales in Billions of Dollars
For #7-9, use the graph to the right.
7.
1~
LfO +I 5 ~
II Entertainment
II
~ sP3(ids ~~m~
5. How much money does she spend for food and
•savings
I
I
How much money does Cindy spend for rent?
l!l!Rent
According to the graph, how much r:nore than Honda's retail
sales were Ford's retail sales? (check yourTabel! )____ _
-;-:4- . ~ :::[.?'r . €h·d,id;l
8. C~rysleuetail ~ w~e what e_~rcent of General Motors
let- .x = p-ecctnl-ot
retail saJ.~s?
l
too
== _/()6_
2 •5
J
G~ rt~"tl
2.'5_~= l6~
2,o
:2.--o
saTes
)~'
~
9. Honda's Retail sales were what percent ofthe combined sales of Ford and Chr'tsler?
Let- x =fll rce (\+ of
Chf~sler
40
X -"
ICV ·-
"
J
l
CO«\
b\ rR<J- Fard -l--
sa!Pc
L.{ X= GO
ltvndcL~S
[i . LI.v+ f., 6 -
8
4 bi tlicr(\
'-Retai I sales
o-f- ~ t{ff'('lb 1~td _sa l~s
aro C-h'( ·Ier .
we~
J
/'::::>'%
of- Ferrel_
i
I
10. Refer to the right:-' ' ~t of all the boys have
selected tennis as their sp_ort?
Spring Sports Selection for 300 Boys
-Le~ X::::: p.erctnt oF- b~swho seleded 1er.rr
• Track
_1.__ \00 300 X'
300 '
1.-/5
90c)
:.:.
Lacrosse, 90
_1--/ 50()
)
3Q:>
Turner Family's Monthly Budget
(annual Take-Home Income: $54,000)
-
·-----------
UJ.-1
\i -h t5 11. Refer to the left: On a monthly basis, how
1
1.3%
much more was budgeted for food than utilities?
.!"54JDOO annvo.t\j
= 8LJ500 !Q!<Q;~JLP~
I mo. -
I-;;z
· J.? {'isoo) --,l3{i.f5aJ)
Entertainment
10%
l~l~- 5&'5
8%
- ~~.ft;
_,
0~
@i30
Distribution of Dimmsdale's Tax Dollars
0 fi'J(
®
mcrre 1.\)QS'
bud~d ft.- fbod f1la
12. Refer to the left: The circle graph shows how Dimmsdale's tax
revenue is spent. In 1999, the town had $2.2 billion in tax
revenue. About how much money did Dimmsdale spend on
schools? -
-"""'
,o"i'.-:
~ C: 40% 0[
~ .1./ G
l
·';::: <f',
cr J bl Ilion
~ b II iotl
60
For #13-17, use the graph to the right.
-D~mmscb/e s~nrolxnt
~~ g bll(iur,J on schJofs.
( 8
~OOJOOOJOOOJ..
Number of Junior Girls Out for Sports
.-------------~-------------------
50+------~
40
30
20
10
0
Soccer
15. The number out for basketball is how much less
than the number out for lacrosse?
50 - 35 ::::::
" 16. Find the average
otJ f-
n~er 'o f junior girls out for a sport.
(j'T)
Abcrot S?$
Track
Basketball
sport
I 5 h~ ss Jl· ~ 1d s cue
,
Lacrosse
For bas~t-i:QII ir,ctt1 (Qcrossf,
4 S +'50+ 20 + ·3.::::>
4
--- ··
:==.
(50
:=
3 7.5
~
1-(
JVr.iCO(" ,~\rl.s are C~uf- fC;r- each spcrrt.
17. The number of girls who tried out for lacrosse ~what percent of the number of junior girls who tried
out for a sport?
Let-- x =:;; ~~rcer.f cf ..:rr. 3' r{s
1...
100
50
150
18. Refer to the left: Sheen' s Daily Schedule:
Approximately how much time does Sheen spend visiting
friends?
Sheen's Dai1y;Schedule
Vl
,_
~
4
S h~() s ~ds ctbvt- d ~ hours a. d~
Vis'd-1 fij fr:, ends~
3
]
2
E
1
::l
z
0
WatchingTV
Hangingout
with Friends
Doing
Homework
Eating
Activities
Annual Snowfall for Mapleton, Vermont
70
.,"'
19. Refer to the right: Annual Snowfall for
Mapleton, Vermont. Compare the ~
snowfall for the even-numbered year~ with that
ofthe odd-numbered years. Which mean was
higher and by how much?
OddYr.
Ev'ul '/r: 3 .5 "+60-b.;to
3
u
50
.5
40
.5
J§ 30
s:0
"'
-
~-
0
u-:lL·
"1.:J..31n.
~
For #20-21 refer to the right: Jimmy's Daily Study
Schedule
20. Approximately how many hours per day does
Jimmy study world_bl.story?
sf-voles W()'(\0
4
~
3
]
2
+ - - - - - - - - - - - - - - - -- · -
E
.E
1
0
1-\i~j about ,. s hr. 0. Jc;;)
c 21. What percent of his day does this take up?
.----
10
40\-!.fOt-50
130
-~
~N\f
20
c
3
115 _ ~~
-"3
60
.t:
--~
/. 5
....),_,
LanguageA:~bje~torldHistory
French
Algebra
~-)~
'· _.,~'--""~~=:._--~.1---~ CO'::>
• lnt~IJJcrrld t\i. ctvc~.o~ tu)::.QS JD
o
.
r
.J
~
J
6. ?.5'fo of Jt r,,~
ex. ·
..
Freshmen in World Language Classes
22. Refer to the left: Freshmen in language Classes
The number of freshmen taking french is what percent
of all freshmen taking a world language?
•
l~f y;- ~fc.u-f of f'itih~<t1\ illJ<~;i()j a_
lar~o~
VI
'E: so
~
..."
40
'15
30
1l
20
V>
...
E
:::1
z
WofkJ
35= /-:20)(
10
0
Spanish
French
German
Chinese
Latin
World Language
12C)
12 0
X~
2CJ.IG-
·=--·
Of
29--;;;1()7
fo
23. Two hundred students were asked the multiple choice question below .
v
···~
1lut pum~r of freshrrq 0
m£1ch iS
I
2. q r16 '?o oF Ql Ifush wo.rJ
tQ k 1n~ ct \.Oadd La r(}uagt )
iqki()J
. - - - - - - - - - - - - - - - - - - - - _ : _______________::::=::==~..:r . ~- r:J
How many times was Franklin Delano Roosevelt elected President ofthe United States?
- .- A. Five
B. Four
C. Three
D. Two
E. One
The five responses and the percent of students t hat gave each answer are shown here. How many
students gave the correct response, four terms?
-t:it=-x-:::::o·nv mbi(()f=-~dtn~ t\l~o-g;~ co {reef- n?.!fX!r.u? ·
'J 7 oF- d..OO ::=X
4
5
ro
· ~(~)~x~------------­
~" 5!.\ studtrJ-s- 9(1-re- ~
~ OdiTect- resprn~-l.
11%
27%
3
11%
2
40%
1
11%
For #24-25, use the graprr't o the right.
Age of Books in the School library
24. Which age category (in years) has the least number
of books?
90
80
70
60
~
g
Ol
~(-30 ~ ('.
0
50
<;;
,Q
40
§
30
20
z
-
10
0
25. About how many books are less than 6 years old
than are between 31 and 35 ears old?
1-5
6-10
11-15 16-20 21-25 26-30 31-35
Age (in years)
MOVIE 'ENDING RATINGS
For #26- 32, use the graph to the right.
rl
-.;,
,,
26. Which ending received the highest overall rating?
I.
:-
,
h.rst- -endi r~
.____
II
-+•1---..,..-:__ _
27. Which ending had the higher median rating?
II
I 1•1 I I I l I I
e
~
.~:-l ·~·l-
I'WI
I I
I· I I I H 1 I
m
Se-cond Endlns
....
.
t
oo
First Endl.ns .
f
.....
I I
•
II
~
t .·, I
I
~
Rating
28. For which ending were the ratings of the middle 50% more consistent?
29. Multiple choice. The percent of ratings above 61 for the first ending is _ _ _ _ the percent of
ratings below 82 for the se~ond ending.
:-:: · 75%
· h 7 S9V'
cft reat~-r~
~essthan
c. Equal to
d. Cannot be determined.
~1-00,"'
qG-~ 5l.f ::::. 4 ;;t
-.e:~q 0-5?-- ;::
~~n~ 2
30. Multi pi~ choice. The first ending had a larger range of ratings.
.
~
" b. T~
c.
l'
rf.
Cannot be determined.
31. Multiple choice. There were more ratings below 63 for the second ending than the first ending.
::
::~s:
~
-·
can_notbed!rtermined)
\. ._ _:__::.-.
111
of
:=
ThQ._ f~ren~~ fqtin~ s ~ \cr.JJ <83 Fori?'~ £'e(~
en:h] _\s f~ss t"'nctr.-t'h.e... Percurr~ct/ ?.f rqtir:~~ b2.\ouJ
G3 ,'(' ThL f,r:::t-e~".d,rg ) but .!J.It,.
tcn QUJ ,f t-n.~
popu m1d'Cl" sur·~ f;r eo.Gherd1m ~.JJer·e t'CLW 1f() .:)'f~or no+·
door
32. Multiple choice. An ayerage rating is consiaered to b ~ Based on the distribution of the ratings,
describe the m_Ajo · of ratings for the second endin?_:_
_rf- . '. 1.: r c.,._
. a.
bove average
e50 re~ a.t" ~
Tl r~~ rcw
b. Below average
~·. ~~~~:~ebe determined.
tn!L
(a
second e0d \Cj uJt~
q\
7~ 11f 0-bo'/\! · \
mon'!-11\Qn bO"/o)
l.Vtre- o bov-e -tn.~ aN era~ r~~ n~ of- rts--
So C\
fY"ldJOII+j
(
33. Use the Long lslar'l'd Railroad Schedule below.
Cosmo travels from Oceanside to Penn Station each morning. He rides the train that takes the le
amount oftim__e. When does Cosmo board the train..at11c_eanside? Ce>s.r<":O
boQ-rds~
o-r-
Brooklyn
Jamaica
0
De ea. ns ,J&_
Long Island Railroad Daily Schedule
Long Beach
fral r;
q ··23An1
8:18
1---- 8:08
----+----
8:39
9:01
- - 1 - -- ----+--- --- + - - - - -----l i.f41'()ifl.
8:37
8:47
9:07
9:25
t--------+-------t--------+-------+---9_:3_0_~- ~3m · ~
9:43
10:01
9:13
9:23
3q n-,j ("I
10:02
10:46
9:58
10:08
10:28
10:49
I{ 1mi fl
For #34- 38, use the Two-Way Frequency Table below.
A survey was done to detennine the rel~bip between gender and subject preference. A total of 56 students
were surveyed to determine if they liked math, English, social studies, or science as their favorite subject.. The
results were then broken down based on whether the respondent was male or female.
Subject Prefer~nce
Math
s.
English
Female
Male
10
6
4
Total
18
10
Social'
Studies
11
Science
5
Total
30
.8
4
26
9
56
19
34. Which of the following is closest to the joint relative frequency of being a male who likes social
~ ~
studies?
~
a. 0.42
26
c. 0.14
d. 0.56
35. Which of the following is the marginal relativ . J
quency of liking math?
a. ~
b. ~
c. ~
2
5
28
(_lg~
d)
\56)
9
~~
er"""
ce
::-:-nt of female students liked English as their favorite subject?
20%
(
;c;)
b. 11%
c. 16%
·
d. 60%
37. A person looking at this table concludes that it is more likely that a female student will like social
studies than a male student will like math . Is this correct? Justify your answer.
femq_\e s~nt liktJ' • _!_L. ~~3'7
rno~e s~n+- . J.Q_~:.,...;;-r-·-==-Soc ta.l awdles · 30
..
I~~ mo--th
26 or 3l?rf
or 37%)
,,l
No> ~tis more. tlr~Jj -th¢-
Q
mal~ stud.Qtf- UJitl IJ~ lna-ht ,c:Jn<::R. abDtrF as% ot .
bo..s+ ctnd Q bol;t- a 7ft> oF -tn..L (eln:"{le..r Ol~c:JSoc<al SM6
-tru_ ma_les svnre~ OKQd rn~.
o 38 . Is it more likely that a person who likes social s?udies will be female or that a person who is female
will like social studies? Justify your answer.
Persm'. ,,flo
·
1
bl. sf--:
~
·!;~~~.s.Jl_, ~ 3? 7o o~ females I )ttd Soc'lq; S+tJd\es ~' ·
1
s.s .. 3<)
Per.s<m wr.o II ~ 5<2%
l' 1 '~ ss 17{
i~~cn1\e.~+- is
l
more.,
.
A
.
of peop(e who (·,Ked Soc'"" Stvd I e..r ~~ ferna(eS'.
li~l'-1 ·f'ha+-
f2err,dfe sc~ a 6dVf- sg '/c
L I'
~
I Sh d ~ uJ . (I b.e..-.fe~-'·
~rsef() oJno u.J\h\<:1$ ' OCio- . J I ~. ~
o I \1<-Qd 5ocfcd SrvdJR~ v..tce fl(IJ'f:S,
0 f- ~ poc>f\e..
I
Q;
39. Use the data to tl:le' right to
a. Order the
~2, io, i.2, 3o, 8, ~9, 1S, l4 @
. com~~e the follo":'ing.
M~
data: ~
w
IO;{ H/;15
1~
J~ ~2-J
I
~-
~
?_.2) 30J\2_J
@
I
b. Compute the 5 Number Summary:
Min: g
Q1~, Med: ~'
Q3: 1.6 , Max: gq
+t- 3Q ~ bQ-ta.
-t=CJ
( I
c. Create a box and whisker plot.
I
I
0
I
10
I
I
20
d.
Determine mathematically if any outliers exist. Show all work.
:ra R= Q 3-&'
'"" 61 f ·- (4 5 (XQ R)
> fX 3-t-£.5(.I6/R)
.:r&lR-= 2..6-•~= P-1
"'- '2-1·5(1rl-)
/ ;..61- '~s-oLI)
...
I
I
30
40
liA"' -h.
I'IV) I
~
A
l J-
nu~ lU~n' 'l'fl.j
autl1ers~
<. - q X
"/' t.f '] 'k
40. A sample of eight students was randomly selected and asked, "How many times did you check your
em ~sterday?" Their responses were 3, b, 8; '7, 10, 6, 12. Compute the following.
0 1 2.. J 3 1 6)?; R) IQ J I :1_
a. Mean: (4g-:-g)
b. Median:@
c. Mode~
d. Range: L2-0 :::-@
e. Standard deviation:
2;
®
X
0
6
C!_2;
x-x
0-0 :::
-c
d.-6::. -L(
( -6) 2 ::= 36
(-q}:l.== 16
3-G == -3
G·-6
0
Q.l.. = 0
7-6 -
,{2--=-
I
2::!-
= lf
6 2-
= 36
tO
12-6 -
G
(
LX= 4bl
(Hint: Don't forget to divide by nand take the square root!)
f.
~~ g _ It./ .75 j
if
1.1.
75 ~
What does the standard deviation tell you about the spread of your data?
S lll(Q.. tl'>e- s~nda rd dev 1ati "" IJ3.2 I{J is re bhY!'~ s ll'afl J i t- .s h11J!S Thk
-trw_ datu t$ 1overa1IJ cloSJL-to ·-rn~ rr.Q.qn o( tr..e_ data'<)
For #41-43, use the back--fa-back stem and leaf plot to answer the following questions.
Calories of Chips
Tortilla Chips
Potato Chips
~
0·
0:
II
12
0, 0 ·•
13
$
00 5
400
14
15
16
2
17
,5 ~40
02ZS:
0
Key. 0 11315 means 130 colories for Potato Chips and 135 calories for Tortilla Chips
41. Which type of chip has a smaller range of calories?
ftJ1vAo Un"-tp
,' .!7.2l s -12£..
--------------------------~
-1vff; (Ia ~
htt..re a, ..S: rfla.f Ier
-rr>ri-11\d- Ch1ps 160
42. Which type of elf$ has a larger median
Pot-cfo 0hcp~:· !55
(QJidO
q~
-110
((0
ps
1
numb~=zgf calories?
of Ca(/'~·leJ
,
VI
•
·n~ ~ chips have e.G
(ar~r fOQai an of calories.
""tOrtilfCL ~h1po·· 1115
43. What is the mode for each type of chip?
(~
CJh;:
IS~ij$b
----,(J'(-41_\J_a._C_h_tip_s_:_ _ _ __
For #44-45, use the graph to the right.
44. In what year was the total number of
students in both graduating clas~es the
greatest? ~l
raCiuating Classes
500
400
300
~
200
100
45. In 2007, how many more students did
Springfield High have in its graduating class
than Shelbyville High had in its graduating
class?
~~ s,-\IJJJW
0
' ~--_J
2003
_____L _____ L_ _ _ _L __ _J __ _ _
2004
2005
2006
--Springfield High School
2007
2008
~--~
2009
2010
---.-Shelbyville High School
Airplane Take-off Time
For #46-47, use the graph to the right.
600
46. The graph shows the speeds of two different
airplanes from take-off to 100 seconds (1 minute 40
seconds). Which plane takes the least amount of
time to get to as eed of ?DO t'n ph?
PI af\Q
At-a ~ ~ Iearl-
f- t-\ ~ (
L.fOsec.
v:; . ~ sec.) .
47. How much less time does it take than the ot
plane? ~~-~----=-----
ctt<1dJJ(1
c~ o g<'cDfJJs I~
5 soo
~... 400
~ 300
~
2
/
v
0°
o
/
~~~---I
o
20
v . ---- ----~"'
"
40
/
-Plane A
----Plane B
60
Number of Seconds
80
100
48. As shown in this graph at left, when was the difference the
greatest between the prices of tt1"etwo companTes' stock?
Soda Stock Prices
_Jr-;-
~~&r~~an dJd · .::> 31-
$48
$46
$44
$42
$40
$38
$36
" f'. 1/ v
...
... ,
,
v
/
..
..
...
~
'
.r
lhu rsJ~ · '1 !-f --- 3 6 ~ ~
Fr<dcur M10 -1..( 0 ~ tt G
$34
---·Pepsi
--
(Q
-r\tesrJcUJ ~ 1./2- 3'7-=;. 5
(U?or(?5day · 4t.f- ?f-1 ~ ~ ~
,,
,,
<:
-coca-Cola
49. Create a line graph for Coffee Consumption in the United States, 2004
Coffee Consumption in the U ~ S., 2004
0 cups
29%
s::
1 cup
0
'+:l
31%
ro
:;
2 cups
3 cups
14%
30%
0.
0
25%
II?
20%
Q.
:::>
.....
0
10%
35%
.~
I
-
""'"''
I
15%
4+ cups
tlO
.....ro 10%
16%
s::
C))
u
,_
C))
Q.
-
5%
~t
0%
I
0 cups
I
I
I
I
"'
\..
C))
J
i
""' r- -- -
.........
1_........, v
I
I
I
I
2 cups
1cup
3.cups
4+ cups
Cups Per Day
50. A local marketing company did a s:'!vey of 30 households to determine how many devices the
household contained that can be used to watch video (i.e. TV's, t ab lets, smart phones, etc). The dot
plot of the responses is shown be low. The marketing company would like to cla im that the majority of
households have either 3 or 4 screens capab le of watching video. Does the information displayed on
fFle dot plot support this claim? Explain your reasoning.
,.,.,.,__
@
---
'
13
30
( Ies~ lnat1
GJ®G@ ! ~
. . . ·i• ·.! ·• ~. @ ~.
50%) • j :
!
o
•
t--+---
0
f
2
4
6
8
Number of Screens Capable of Watching !l!ldeo
q
7
10