88Graphing Calculators in Mathematics Grades 7-12

Activity One Handout

+ IQ's of 25 ninth-grade students from Any town, USA:

89 102 92 100 110III 117 95 85 84101 110 68 121 12597 85 103 97 10083 93 99 112 100

+ Answer the followinz about the 2S Anvtown students:~ J

I. Wh:J.t is the mean IQ?_---" _

What is the median IQ? _

Wh:J.t is the mode of the IQ's? _

-+. WhJ.t is the lowest IQ? --'- _

S. \\'hat is the highest IQ? _

6. WhClt is the range of IQ's'I _

7. What is the Lower Quartilevalue? _

S. \Vhat is the Upper Quartile value? _

9. Draw a box and whisker plot for this data using the number line below.

65 70 75 80 85 90 95 100 105 110 115 120 I"-_::J 130

10. What is the inter quartile range? _

11. Are there any outliers? _

12. On your graph paper, construct 3. frequency table and histogram for the IQ data.

13. Write a paragraph to explain the analysis of the data. Switch partners and compareyour findings with those of your new student partner.

Graphing Calculators in Mathematics Grades 7-.12 91,0

Activity Two Handout

1. Enter the data from Activity 1 into your calculator by pressing <STAT> <1> (Edit).

m. CALC TESTS- .t• 1_....

. ,• ,-- -t H- ..L • ::.''-'t· _. ".3: Sor·t.D'::4 : C 1rL i :=. t.5: Set.UFEd it.or·

TI-S3

:Ql1J .. CALClIlf;d it,.... ,. ,- t H- ••... • -,.-, t-·· '.- - - - .-r - t [ .•• I _ _ •

..:.,• ::"'_'t· _. II..4 : C 1 t-·L i :=. t.

TI-S2

') If the lists have data already entered in the columns, use the up arrow to highlight LI,press the <CLEAR> key and the <ENTER> key. This should clear the data from thatcolumn. You may clear each of the columns this way.

3. You mJ.Y also go back to the screen above by pressing <STAT> and <·b followed by the /\lists you want to clear separated by commas and then <ElSTER>. L, is above the 1 key«2nd> <1», L: above the 2 key, etc. This will clear all the lists at once.

4. When the lists have been cleared, press <STAT> <1> (Edit). The displays forTI-S2 andTI-S3 are similar.

L1 L2ANA??i'. _ _

L 1(1) =

S. Enter data by typing 89, press <ENTER>; Ill, <ENTER>; 101, <ENTER>, etc., until allthe data has been entered.

8911111)1q.,_ 1

8811)"';'Hf.Ba

L1 L2 L~: 1

L1(;:')= 11 7

L1 L2 D 1

11211(18Lj1 ':-C''--'11)(1f{t!I'-'------

L 1(2:') = 1O~1

1p"nn 4 r .._._.._i r.__.r, _._.__ r __ r .

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92 Graphing Calculators in Mathematics Grades 7-12r>.

1. Construct a box and whisker plot for the data by pressing <Znd» <Y => (STAT PLOT).

~nar."J)£ _!EI '10 _.1...Ut't'l.:::.::. L1 L2 c

2: PIot.2 ...0ffL:::::::: L1 L2 c

- 3: Plot.3 ...0ffl.:::.::. L1 L2 c

4·L·Plot.:=.Off

2. Choose 1: by pressing <ENTER>

L:::::: dl:lnf{}i .• I{J}-4 L

>:: 1i:=. t.: L1' • .1 1i .= t • L~'I _" ..". L..

!'1.3r· k : tj +

TI-83

Plot!On [II~~T '=IF'~ L:::::: I{J}-4 &::-::1 i :=. t. : ~ L::':L::: L'1 L:: i.s'r' 1is+..: L1 [E L::: L'1 L:: Lb!'1.3r-· k: [j +

TI-82

s, Press <E~TER> to turn the plot on. «v » one time and then <» to the box and whis-ker plot. The TI-S3 will have 6 choices for Type-choose the 5th one. The TI-82 willhave four choices-choose the 3rd one. Press <Ei\"TER>.

4. <v> one time. If Xlist is not set at LI, do this by pressing <2nd> <1>. The Frequency

should be set at 1.

TI-83

F' 1 0+..1f.3 Off• • ."... r'=IF"e . l.::.:.:.:. l:::::: ~ &

::-:;1i :=.t.: [!] L::': L::: L'1 L:: LbF r-' e'=1 : E!L1 L::': L::: L'1 L:: Lb

TI-S2

5. Set the viewing window by pressing <WINDOW> and making the following entries:Xmin = 60, Xmax-. 130, Xscl = 10, Ymin = -2, Yrnax = 4, Yscl = 1

b.l I t·mOI.,,I::<r"1in=60::<r'·I.:l>::= 130'...'.-- 1- 1'-1.. -, - ..:.,':~;rn= -2'.,.'r'I.3::<=4\'·=.,-.1= 1':.:<":. .;.= = 1I II __ "

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Graphing Calculators in Mathematics Grades 7-12 93~

6. Press <GRAPH> to see the box and whisker plot. Press <TRACE>.

P"i

TI-83

t·1.;;·j=i')(r

TI-82

7. Notice the <TRACE> key is showing the median IQ. Press <» once to see the UpperQuartile(Q3) and press again to see the Upper Extreme. By pressing the <~ > you canfind the Lower Quartile (Ql) and the Lower Extreme.

S. To find the mean lQ using the calculator press <2nd> <STAT> and then press <» tohighlight 0.I.-\TH. Choose 3: (mean). Press <E~TER>.

9. :'1c::tn will :J.ppe:J.ron the home screen. Press <2nd> <1> and then <) > to name Ll asthe argument of the function. Press <E;";TER> and the answer appears. ~

r·i A 1'1E S CIF' S Lffiill1: P', in (2 : f'",.~>::.::illr'·,e.~n r::4: p',ed i .~n'::C"--"f'('_' - :::.• 'i " '.

6: pr'odr::7 ·l:::;.t.d [Ie '.)r::

ClF'S.lilllG.1: P',l n(,.-:. • f" - .... {...:..... '.::1 •.... '.illp·,e.~n .::4Y f",ed i ·~n(C". -, 'f''_' • ::: .• 'i "

t.: F·t-·od

,~,~ -:;.-.' .' • ·_,t·

TI-83

q,~ -:;.•.' .' • ·_,t·

TI-S2

r » s sr:» 4

r

~ C~,.,~ap=h=in=g=C=a=I=C!l=IQ=(Q=r=s=in=tY.=1a=l=he=m=Q=li=cs=C=r=Q=de=s=7=-1=2========================= eA II•

10. To find the mode of the data, the.data should be placed in numerical order. This can bedone by pressing <STAT> and choosing 2 SortA(.

1L Press <ENTER> and press <Znd» <1> < ) > to enter L. as the argument.

12. Press <ENTER> to arrange the data in numerical order.

13. Press <STAT> and choose Edit, press <ENTER> to see the sorted data. Choose themode from the sorted data.

r'le·3n < L 1 ::.

Done

L1 L2ti8a~asasBe

L1 L2 U 1

SS1 (II)11)(111)1)1(111(I:·~tl~

L 1(18) =103

14. To see the histogram return to the STAT PLOT menu by pressing <Zrid> <Y =>.Change the Type from the box. and whisker plot to the histogram.

TI-83 TI-82

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Graphing Calculators in Mathematics Grades 7-12 95

15. Press <WINDO\V> and set Xrnin = 65, Xrnax = BS, Xscl = 10, Ymin = -3, Yrnax = 12,and Yscl = 1. Press <GRAPH> to see the histogram.

~_FOPtI1AT"r'lt--~t:'1"'1 II 1-1_1._11•••lr· - ·..·-1351"1 I 1.::1 ..·.. -I I 1 1-.... - - - 1·1.. -I - l-11_'_' _

'r'VI in= -3I. J r") ::1- ••••• = 1 '-::1, • •••• J-

'/·=.,-.1= 1 Ir I

16. 'You will want to do exploration using the <TR-\CE> key.

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