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CMC3 Fall Conference
Saddleback College
Teaching Statistics with GeoGebra
By: Tuyetdong Phan-Yamada
Glendale Community College
Website: https://sites.google.com/site/phanyamada/Home/teaching
Email: [email protected]
GeoGebra Commands and Tests for Statistics
1. Calculate the probability of a binomial distribution: Open a new ggb file. On the spreadsheet
screen, click on the histogram symbol button. From the drop down menu, select Probability
Calculator. On the Distribution box, choose Binomial. Enter value for n and p. On the Probability
box, select your option and limits.
2. Calculate the mean and standard deviation of probability distribution: Open the Probability
Distribution.ggb. Type the Observed and Expected frequencies on the Spreadsheet screen. Enter the
number of data n on the Graphic Screen.
3. Random Integers: Randomly pick 10 integers between 1 and 365 inclusive
Sequence[i = RandomBetween[1, 365], i, 1, 10]
4. Plot points from a ggb spreadsheet
Highlight the two columns you want to graph. Right click on your mouse or click on {1, 2} button. Select
Create – List of points
5. Statistical graphics of a data set.
Highlight the data. Click on the Histogram symbol. Select One Variable Analysis. Click on Analyze.
Choose Normal Quantile Plot (or Histogram, Dot Plot, Box Plot, Stem and Leaf Plot.) Click on ∑x to
get the statistics of the data set. To read the z-score of each datum, Click on the left arrow on the graph
screen and check the box Show Grid. The z-score is the y-axis.
6. To find Zα/2 , open the z-interval.ggb file. Check Two Tails button. Enter the value for  and n. Zα/2
the positive critical value.
7. To find the confidence Interval of a proportion: open the z-interval.ggb file. Select A proportion.
̂.
Check Two Tails button. Enter the value for , n and 𝒑
8. To find the confidence Interval of a mean (when σ is known): open the z-interval.ggb file. Select
A mean. Check Two Tails button. Enter the value for , n and 𝑥̅ .
9. To find tα/2: open the t-interval.ggb file. Check Two Tails button. Enter the value for  and n. tα/2
the positive critical value.
10. To find the confidence Interval of a mean (when σ is unknown): open the t-interval.ggb file.
Check Two Tails button. Enter the value for n, s and 𝑥̅ .
11. To find critical value for chi-square: open the chi-square Interval.ggb file. Check Two Tails
button. Enter the value for  and n.
12. To find the confidence Interval of a variance or standard deviation:
Open Chi-square Interval.ggb file f. Check Two Tails option. Then enter values for , s and n.
13. Z-Test for a Proportion: open the z-test for one sample.ggb file. Select A proportion. Choose the
̂.
tail option. Enter the value for , n, p and 𝒑
14. Z-Test for a Mean (when σ is known): open the z-test for one sample.ggb file. Select A Mean.
Choose the tail option. Enter the value for , n, ,  and 𝑥̅ .
15. Z-Test for a Mean (when σ is unknown): open the t-test for one sample.ggb file. Choose the tail
option. Enter the value for , n, s,  and 𝑥̅ .
16. Chi-square Test for one sample:
Open Chi-square test for one sample.ggb. Choose the tail option. Then enter values for , s,  and n.
17. Z-Test for two proprotions:
Open z-test for two proportions.ggb . Choose the tail option. Then enter values for , x and n.
18. T-Test for two independent samples:
Open t-test for two samples.ggb . Choose the tail option. Then type in values for , x , s and n.
19. T-Test for matched pairs
Open T-Test for one sample. On the spreadsheet screen, type the two samples in column A and B. For
each cell of Column C, type Ai –Bi for i = 1, 2, 3….
Highlight data in Column C. Click on the Histogram symbol. Select One Variable Analysis. Click on
Analyze.
Click on ∑x to get mean and s . . On the graphic screen, enter the data for , n, s and 𝑥̅ (mean) and choose
the tail option.
20. Linear Correlation
Open T-test for two samples. Select Test of Correlation. On the spreadsheet screen, type the two
samples in column A and B. Highlight the two data sets. Click on the Histogram symbol. Select Two
Variable Regression Analysis. Select Linear to graphically estimate if there is a linear correlation.
Then click on Option (in the bottom) and choose Statistics to get the correlation value r. Enter the value
for , r and n.
21. Regression Line
Open a new ggb file. On the spreadsheet screen, type the two samples in column A and B. Highlight the
two data sets. Click on the Histogram symbol. Select Two Variable Regression Analysis. Select Linear
to graphically estimate if there is a linear correlation.
To view the residue graph, on the Option menu, choose Show 2nd Plot.
22. Goodness-of-Fix Test
Open the Goodness-of-Fix.ggb file. On the spreadsheet, enter Observation values in column A and
Expected values in Column B. Enter value of k on the Graphing screen. Enter value for .
23. Comparing Variances:
Open t-test for two samples.ggb . Choose the tail option. Then type in values for , s and n.
24. One way ANOVA: Enter all data in the spreadsheet screen. Highlight all data. Click on the drop
down menu with the histogram symbol. Select Multiple Variable Analysis.
25. F-Test for Two Variances or Standard Deviations: Open F-test.ggb . Choose the tail option. Then
type in values for , s1, s2, n1, and n2.
MATH 136 – PROJECT Lefty-Righty Experiment
Objective: In this project students will infer the percentage of left-handed people in the general population
from a convenience sample of people carrying out a digital manipulation task using their right or left hand.
Your project will be graded in three following categories: Sign-up: (5pts) Presentation (20pts),
Participation(20 pts), paper (45 pts), and Moodle post (10pts).
Each student has to give a survey of a group of at least 15 people. Students then will combine data with
their group of four students and apply the material in this course to analyze the group data. When
students have a group topic, please sign up on Moodle. To get 5pts, each group needs to sign up before
10/03/ 2014.
Students may use powerpoint in group presentation in five minutes or less. Make sure all group data
post on Moodle to get full credit.
Participation will be graded based on how much work each student contributes to their group.
The group report must answer the followings:
Part 1: Testing your group claim about the percentage of left handed people
Part 2: a. Find the highest score of the left and right hand of each person. Then use the knowledge in this class
to analyze your two group data sets. For example, are men faster than women? Each data set should have more
than 30 data.
b. Based on the group data, make conclusion about your conclusion in #1 and #2. Write a paragraph
to introduce your topic and to summarize what you find.
Each group needs to turn in a hard copy of the group report on 11/25 and posts on Moodle Part 1 Sat 10/25 and
part 2 on 11/25
Your individual report should include the following information:
1. Introduction
2. The graph of left & right hand marks to determine the number of left handed people.
3. The confidence interval of the percentage of left handed people.
4. Use 0.05 significant level to test the claim that 10% of people in Glendale area are left handed.
5. The mean of numbers of marks for each group. (Example Women: 52, Men: 50)
6. Test the claim of your topic and the conclusion. (Example: Claim that women can write faster than
men. Conclusion: There is not enough evidence to support that women can write faster than men.)
A hard copy of your individual report must turn in on 11/25 when you present your topic.