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STATISTICS with the Casio FX-9750G Plus Casio, Inc.
STATISTICS with the Casio FX-9750G Plus
Activities for the Classroom
9750-STAT
STATISTICS
with the
Casio FX-9750G Plus
Activities for the Classroom
Univariate Data
Two-variable Statistics
Linear Bivariate Data
Non-linear Bivariate Data
Probability- Combinations
Probability- Permutations
Random Sampling
Categorical Data
Normal Probability
Hypothesis Testing
Confidence Intervals
Chi-Squared
Probability Distributions
Simulations
All activities in this resource
are also compatible with the
Casio CFX-9850G Series.
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Résumé du contenu

Page 1 - STATISTICS

STATISTICS with the Casio FX-9750G Plus Casio, Inc.STATISTICS with the Casio FX-9750G PlusActivities for the Classroom9750-STATSTATISTICSwith the Cas

Page 2

Copyright © Casio, Inc. Activity 1 • Statistics and the Casio fx-9750G Plus 5The 1-Variable statistics will be displayed, press the down arrow key to

Page 3

6 Statistics and the Casio fx-9750G Plus • Activity 1 Copyright © Casio, Inc.2. Press F1(GRPH), F6(SET).3. Arrow down to Graph Type and press F6, F2(B

Page 4 - Contents

Copyright © Casio, Inc. Activity 2 • Statistics and the Casio fx-9750G Plus 7Activity 2World Cocoa MarketTopic Area: Two-variable StatisticsNCTM Stand

Page 5

8 Statistics and the Casio fx-9750G Plus • Activity 2 Copyright © Casio, Inc.Getting Started In this activity you will need the Casio fx-9750G Plus gr

Page 6

Copyright © Casio, Inc. Activity 2 • Statistics and the Casio fx-9750G Plus 9IntroductionTo find a set of data for this activity, go to the following

Page 7

10 Statistics and the Casio fx-9750G Plus • Activity 2 Copyright © Casio, Inc.Solutions and Screen Shots for Activity 2(from www.dailyfutures.com/soft

Page 8 - Activity 1 • Blowing Bubbles

Copyright © Casio, Inc. Activity 2 • Statistics and the Casio fx-9750G Plus 114. Press EXIT to return to the previous screen. Press F2(2VAR).The 2-Var

Page 9 - Diameter (cm)

12 Statistics and the Casio fx-9750G Plus • Activity 2 Copyright © Casio, Inc.8. Press EXIT.9. Press F4(SEL), F1(On), arrow down to StatGraph2 and pre

Page 10 - (continued)

Copyright © Casio, Inc. Activity 3 • Statistics and the Casio fx-9750G Plus 13Activity 3The Years of Your LifeTopic Area: Linear Bivariate DataNCTM St

Page 11

14 Statistics and the Casio fx-9750G Plus • Activity 3 Copyright © Casio, Inc.IntroductionOver the past fifty years we have seen a trend in the lifeex

Page 12 - Teaching Notes

STATISTICSwith theCasio FX-9750G PlusMiki Merritt

Page 13 - Getting Started

Copyright © Casio, Inc. Activity 3 • Statistics and the Casio fx-9750G Plus 15Solutions and Screen Shots for Activity 3To find the relationship betwee

Page 14 - Problems and Questions

16 Statistics and the Casio fx-9750G Plus • Activity 3 Copyright © Casio, Inc.5. Press F1(GPH1).6. Press F1(x).The regression equation should appear

Page 15 - Copyright © Casio, Inc

Copyright © Casio, Inc. Activity 3 • Statistics and the Casio fx-9750G Plus 17To find life expectancy in the year 1800 and the year 2050:1. Press EXIT

Page 16

18 Statistics and the Casio fx-9750G Plus • Activity 3 Copyright © Casio, Inc.8. Press SHIFT, F2(Zoom), F5(AUTO).9. Press SHIFT, F5(G-Solv).10. Press

Page 17

Copyright © Casio, Inc. Activity 4 • Statistics and the Casio fx-9750G Plus 19Activity 4Spending Too MuchTopic Area: Non-linear Bivariate DataNCTM Sta

Page 18

20 Statistics and the Casio fx-9750G Plus • Activity 4 Copyright © Casio, Inc.IntroductionSandy’s parents loaned her some money for her to use during

Page 19

Copyright © Casio, Inc. Activity 4 • Statistics and the Casio fx-9750G Plus 21Solutions and Screen Shots for Activity 4To find the relationship betwee

Page 20 - F4(DEL-A), then F1(YES)

22 Statistics and the Casio fx-9750G Plus • Activity 4 Copyright © Casio, Inc.5. Press F1(GPH1).6. Press F6 for more options, press F2(Exp).The regres

Page 21

Copyright © Casio, Inc. Activity 4 • Statistics and the Casio fx-9750G Plus 23To find the money left in her account in four years and when she will ru

Page 22

24 Statistics and the Casio fx-9750G Plus • Activity 4 Copyright © Casio, Inc.8. Press SHIFT, F5(G-Solv).9. Press F6, F1(Y-CAL), 48 EXE.The solution s

Page 23

® 2005 by CASIO, Inc. 570 Mt. Pleasant AvenueDover, NJ 07801www.casio.com 9750-STATThe contents of this book can be used by the classroom teacher to

Page 24

Copyright © Casio, Inc. Activity 5 • Statistics and the Casio fx-9750G Plus 25Activity 5Ice Cream FavoritesTopic Area: Probability- CombinationsNCTM S

Page 25

26 Statistics and the Casio fx-9750G Plus • Activity 5 Copyright © Casio, Inc.The last calculation changes the P and K values again. Now P becomes 31

Page 26

Copyright © Casio, Inc. Activity 5 • Statistics and the Casio fx-9750G Plus 27IntroductionThe local ice cream store has 31 flavors of ice cream. In th

Page 27

28 Statistics and the Casio fx-9750G Plus • Activity 5 Copyright © Casio, Inc.Solutions and Screen Shots for Activity 5To find the combinations:1. Pre

Page 28

Copyright © Casio, Inc. Activity 6 • Statistics and the Casio fx-9750G Plus 29Activity 6License Plate NumbersTopic Area: Probability- PermutationsNCTM

Page 29

30 Statistics and the Casio fx-9750G Plus • Activity 6 Copyright © Casio, Inc.The last calculations change the n and k values again. The first questio

Page 30

Copyright © Casio, Inc. Activity 6 • Statistics and the Casio fx-9750G Plus 31IntroductionThe state of Virginia has a total of seven places available

Page 31 - 1.83 10

32 Statistics and the Casio fx-9750G Plus • Activity 6 Copyright © Casio, Inc.Solutions and Screen Shots for Activity 6To find the permutations:1. Pre

Page 32

Copyright © Casio, Inc. Activity 6 • Statistics and the Casio fx-9750G Plus 334. Type 36, F2(nPr), 7 – 36, F2(nPr), 6, EXE. Answer should appear on t

Page 33 - 4. Type 31, F3(nCr), 3 EXE

34 Statistics and the Casio fx-9750G Plus • Activity 7 Copyright © Casio, Inc.Activity 7What Color is Your Car?Topic Area: Random Sampling, Categorica

Page 34

Copyright © Casio, Inc. Statistics and the Casio fx-9750G Plus iiiContentsActivity 1: Blowing Bubbles . . . . . . . . . . . . . . . . . . . . . . . .

Page 35

Copyright © Casio, Inc. Activity 7 • Statistics and the Casio fx-9750G Plus 35IntroductionFind a partner to do this activity with. Go to the parking l

Page 36

36 Statistics and the Casio fx-9750G Plus • Activity 7 Copyright © Casio, Inc.Solutions and Screen Shots for Activity 7To find the most popular car an

Page 37

Copyright © Casio, Inc. Activity 7 • Statistics and the Casio fx-9750G Plus 372. Enter the Color Number data into List 1 and Number of Cars data in Li

Page 38

38 Statistics and the Casio fx-9750G Plus • Activity 8 Copyright © Casio, Inc.Activity 8Grade DistributionTopic Area: Normal ProbabilityNCTM Standards

Page 39

Copyright © Casio, Inc. Activity 8 • Statistics and the Casio fx-9750G Plus 39IntroductionThe data represents two different years of one teacher’s end

Page 40

40 Statistics and the Casio fx-9750G Plus • Activity 8 Copyright © Casio, Inc.2. Create and draw the normal probability plot for each set of data. Set

Page 41

Copyright © Casio, Inc. Activity 8 • Statistics and the Casio fx-9750G Plus 41Solutions and Screen Shots for Activity 8To plot histograms:1. Delete an

Page 42

42 Statistics and the Casio fx-9750G Plus • Activity 8 Copyright © Casio, Inc.6. Press F1(GRH1), then F6 to draw the graph.To plot normal probability

Page 43

Copyright © Casio, Inc. Activity 9 • Statistics and the Casio fx-9750G Plus 43Activity 9Rainbow of Fruit Flavors Topic Area: Hypothesis TestingNCTM St

Page 44

44 Statistics and the Casio fx-9750G Plus • Activity 9 Copyright © Casio, Inc.IntroductionOpen your bag of Skittles®and count the number of each color

Page 45

iv Statistics and the Casio fx-9750G Plus Copyright © Casio, Inc.Activity 9: Rainbow of Fruit Flavors . . . . . . . . . . . . . . . . . . . . . . . .

Page 46

Copyright © Casio, Inc. Activity 9 • Statistics and the Casio fx-9750G Plus 45Solutions and Screen Shots for Activity 9To perform the 1-prop Z-test:1.

Page 47

46 Statistics and the Casio fx-9750G Plus • Activity 9 Copyright © Casio, Inc.8. Highlight n and type in the total of that color in the class data.9.

Page 48

Copyright © Casio, Inc. Activity 10 • Statistics and the Casio fx-9750G Plus 47Activity 10Class HeightTopic Area: Confidence IntervalsNCTM Standards:•

Page 49

48 Statistics and the Casio fx-9750G Plus • Activity 10 Copyright © Casio, Inc.The t-test calculation is shown below:where X is the mean of the sample

Page 50

Copyright © Casio, Inc. Activity 10 • Statistics and the Casio fx-9750G Plus 49IntroductionYour classmate heard that there will be an additional stude

Page 51

50 Statistics and the Casio fx-9750G Plus • Activity 10 Copyright © Casio, Inc.Solutions and Screen Shots for Activity 10To find the 95% confidence in

Page 52

Copyright © Casio, Inc. Activity 10 • Statistics and the Casio fx-9750G Plus 51• Press F1(1-S) (one sample).• With Data highlighted, press F1(List).•

Page 53

52 Statistics and the Casio fx-9750G Plus • Activity 11 Copyright © Casio, Inc.Activity 11Exit PollsTopic Area: Hypothesis Tests—Chi-square, Two-way T

Page 54 - Activity 10 • Class Height

Copyright © Casio, Inc. Activity 11 • Statistics and the Casio fx-9750G Plus 53The next step in the Chi-square calculation is the computation of the C

Page 55

54 Statistics and the Casio fx-9750G Plus • Activity 11 Copyright © Casio, Inc.IntroductionThree candidates were running for student council president

Page 56

Copyright © Casio, Inc. Activity 1 • Statistics and the Casio fx-9750G Plus 1Activity 1Blowing BubblesTopic Area: Univariate DataNCTM Standards:• Form

Page 57

Copyright © Casio, Inc. Activity 11 • Statistics and the Casio fx-9750G Plus 55Solutions and Screen Shots for Activity 11To find the Chi-square value:

Page 58

56 Statistics and the Casio fx-9750G Plus • Activity 11 Copyright © Casio, Inc.Find the Chi-square value for Mat A:1. Press 2(STAT).2. Press F3(TEST)

Page 59 - Activity 11 • Exit Polls

Copyright © Casio, Inc. Activity 11 • Statistics and the Casio fx-9750G Plus 57The answers will appear on the screen:x2: chi-square valuep: probabilit

Page 60

58 Statistics and the Casio fx-9750G Plus • Activity 11 Copyright © Casio, Inc.To view the answer matrix:1. Press EXIT then MENU.2. Press 1(RUN).3. Pr

Page 61

Copyright © Casio, Inc. Activity 12 • Statistics and the Casio fx-9750G Plus 59Activity 12IQ TestingTopic Area: Normal Distribution CalculationsNCTM S

Page 62

60 Statistics and the Casio fx-9750G Plus • Activity 12 Copyright © Casio, Inc.IntroductionThe Intelligence Quotient test measures a person’s intellec

Page 63

Copyright © Casio, Inc. Activity 12 • Statistics and the Casio fx-9750G Plus 61Solutions and Screen Shots for Activity 12To find the normal cumulative

Page 64

62 Statistics and the Casio fx-9750G Plus • Activity 12 Copyright © Casio, Inc.To find the normal cumulative density function for "below":1.

Page 65 - Activity 12 • IQ Testing

Copyright © Casio, Inc. Activity 12 • Statistics and the Casio fx-9750G Plus 63To find the inverse normal density function:1. Press EXIT twice.2. Pre

Page 66 -  highlighted type 100 EXE

64 Statistics and the Casio fx-9750G Plus • Activity 12 Copyright © Casio, Inc.To find IQ scores of outliers:1. Press EXIT twice.2. Press MENU, and se

Page 67

2 Statistics and the Casio fx-9750G Plus • Activity 1 Copyright © Casio, Inc.Getting Started For this activity you will need the Casio fx-9750G Plus g

Page 68

Copyright © Casio, Inc. Activity 12 • Statistics and the Casio fx-9750G Plus 658. Press MENU and select 2(STAT).9. Press F5(DIST).10. Press F1(NORM).1

Page 69

66 Statistics and the Casio fx-9750G Plus • Activity 13 Copyright © Casio, Inc.Activity 13Gas MileageTopic Area: One-way Analysis of VarianceNCTM Stan

Page 70

Copyright © Casio, Inc. Activity 13 • Statistics and the Casio fx-9750G Plus 67IntroductionIn a controlled study, three popular compact SUV model’s ga

Page 71

68 Statistics and the Casio fx-9750G Plus • Activity 13 Copyright © Casio, Inc.Solutions and Screen Shots for Activity 13To find the average gas milea

Page 72 - Activity 13 • Gas Mileage

Copyright © Casio, Inc. Activity 13 • Statistics and the Casio fx-9750G Plus 69To create a box and whiskers plot and find the median and quartile rang

Page 73

70 Statistics and the Casio fx-9750G Plus • Activity 13 Copyright © Casio, Inc.4. Press F1(GRPH), F6(SET). • Arrow down to Graph Type and press F6, F

Page 74

Copyright © Casio, Inc. Activity 13 • Statistics and the Casio fx-9750G Plus 71• Press F4 (SEL), F1(On), arrow down to StatGraph2 and press F1(On), ar

Page 75

72 Statistics and the Casio fx-9750G Plus • Activity 13 Copyright © Casio, Inc.• Highlight Execute and press F1(CALC).The following values will appear

Page 76

Copyright © Casio, Inc. Activity 14 • Statistics and the Casio fx-9750G Plus 73Activity 14Bouncing Balls Topic Area: Transformations to Achieve Linear

Page 77

74 Statistics and the Casio fx-9750G Plus • Activity 14 Copyright © Casio, Inc.IntroductionTake a partner, a rubber ball, and a measuring tape to a sp

Page 78

Copyright © Casio, Inc. Activity 1 • Statistics and the Casio fx-9750G Plus 3IntroductionFind a partner to do this activity with. Chew your piece of b

Page 79 - Activity 14 • Bouncing Balls

Copyright © Casio, Inc. Activity 14 • Statistics and the Casio fx-9750G Plus 754. What transformation would you do to achieve a linear graph?_________

Page 80

76 Statistics and the Casio fx-9750G Plus • Activity 14 Copyright © Casio, Inc.Solutions and Screen Shots for Activity 14To find the average bounce he

Page 81

Copyright © Casio, Inc. Activity 14 • Statistics and the Casio fx-9750G Plus 774. With the word List 5 highlighted, press OPTN, F1(LIST), ( F1(List),

Page 82

78 Statistics and the Casio fx-9750G Plus • Activity 14 Copyright © Casio, Inc.6. Press F1(GPH1).7. Press F6, F2(Exp).8. Press F6(DRAW).To find a tabl

Page 83

Copyright © Casio, Inc. Activity 14 • Statistics and the Casio fx-9750G Plus 793. Press EXIT, EXIT, F1(GRPH), F1(GPH1).4. Press F1(x).5. Press F5(COPY

Page 84

80 Statistics and the Casio fx-9750G Plus • Activity 14 Copyright © Casio, Inc.5. Press F6(DRAW).6. Press SHIFT, F2(ZOOM), F5(AUTO).7. Press SHIFT, F5

Page 85

Copyright © Casio, Inc. Activity 14 • Statistics and the Casio fx-9750G Plus 819. Press EXIT, MENU, 1(RUN).10. Press SHIFT, ln, (-) 1.33 EXE.Solutions

Page 86

82 Statistics and the Casio fx-9750G Plus • Appendix A Copyright © Casio, Inc.Appendix AOverview of the Calculator FunctionsThis is not meant to be an

Page 87

Copyright © Casio, Inc. Appendix A • Statistics and the Casio fx-9750G Plus 83Statistics FunctionEntering Data:If there are statistics in the lists, p

Page 88

84 Statistics and the Casio fx-9750G Plus • Appendix A Copyright © Casio, Inc.Matrix FunctionEntering Matrices:In the matrix function, you will see a

Page 89

4 Statistics and the Casio fx-9750G Plus • Activity 1 Copyright © Casio, Inc.Solutions and Screen Shots for Activity 1To calculate the mean, median, m

Page 90

Copyright © Casio, Inc. Appendix A • Statistics and the Casio fx-9750G Plus 85Graph FunctionEntering Equations:When you enter the graph function, the

Page 91

86 Statistics and the Casio fx-9750G Plus • Appendix A Copyright © Casio, Inc.Dynamic FunctionBuilt in List of Equations:The dynamic function is used

Page 92

Copyright © Casio, Inc. Appendix A • Statistics and the Casio fx-9750G Plus 87Table FunctionEntering Equations:Equations that have been entered into t

Page 93

88 Statistics and the Casio fx-9750G Plus • Appendix A Copyright © Casio, Inc.Conics FunctionGraphing a Conic:In the Main Menu, press 9 for Conics. T

Page 94

Copyright © Casio, Inc. Appendix A • Statistics and the Casio fx-9750G Plus 89show up on the screen. Enter the known values and press EXE to store ea

Page 95

90 Statistics and the Casio fx-9750G Plus • Appendix A Copyright © Casio, Inc.Link FunctionTransmitting:The link function is used to transmit and rece

Page 96 - Resetting Memory:

Copyright © Casio, Inc. Appendix A • Statistics and the Casio fx-9750G Plus 91Memory FunctionMemory Usage:To check memory usage, select it by highligh

Page 97

92 Statistics and the Casio fx-9750G Plus • Appendix B Copyright © Casio, Inc.Appendix BResources of Interest Casio Educationwww.casioeducation.comAn

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