1. Samples and Populations
Making Comparisons and Predictions

2. Making Sense of Samples
Investigation 1
Making Sense of Samples

3. Homework
Pg 20 A 1, 3, 4,8,14, 15,16,27,28 B 2, 3,4,14,15,16,33

4. Vocab – most we already discussed and defined
Mean Median MAD Line Plot Numerical Data Categorical Data Interquartile Range (IQR) Box and Whisker plot Relative Frequency frequencies based on percentages Census official count or survey of a population Population entire collect of data

5. Invest 1.1 Comparing Performances Using Center and Spread
Given a set of results, how might you use measures of center and variability (spread) to judge overall performance?

6. Notes
Be able to calculate the mean, median, and MAD Be able to compare the data from these measures

7. Example pg 8
Find the mean and median of Jun’s and Mia’s scores. What do you notice?
both are 80 for both students
2. Compare Jun’s and Mia’s test performances
can’t tell from data
Determine the range and MAD of Jun’s test scores
40 and 13.33
Determine the range and MAD of Mia’s test scores
10 and 3.33
5. Compare this data

8. 6. Do you have enough data to make any general statements about Jun’s or Mia’s overall math test performance? Explain
not a large enough data set
Decide whether you agree or disagree with each statement below. Use the statistics you have found so far to help explain your reasoning.
One student is a stronger math student than the other
One student is more consistent than the other
The two students perform equally well on math tests
You can make better comparisons using a larger data set

9. Homework
You should be able to complete 1 and 2

10. Invest 1.2 Which Team is Most Successful Using the MAD to Compare Samples
What strategies might you use to evaluate numerical outcomes and judge success?

11. Notes
Be able to make a line plot of the data Determine which comparisons can be make accurately base on the graphs and data

12. Example pg 10 Use page 10 to answer problem 1.2
Make a line plot for each teams data
B. Explain whether or not the strategy helps determine the most successful team

13. Homework
You should be able to complete 3-7

14. Invest 1.3 Pick Your Preference Distinguishing Categorical Data from Numerical Data
How might you compare results to see if each sample responds to a survey in a similar way? How can using percentages help you make comparisons?

15. Notes
Remember how to make a bar graph Know what categorical data is Calculate a percent from a fractions

16. Example pg 13 Make a bar graph, all can be on The same graph
Which measures M,M, M can you
Use the describe the results
Mode because it is categorical
3. Suppose 400 people ride a roller
Coaster in one day. How many
Would you predict want to sit up
Front?
About 200

17. Homework
You should be able to complete 8, 27-31

18. Invest 1.4 Are Steel-Frame Coasters Faster Than Wood-Frame Coasters Using IQR to Compare Samples
How might you decide whether steel-frame coasters or wood frame coasters are faster?

19. Notes
Using Mean, Median, IQR to compare roller coasters

20. Example pg 16
What do you consider to be a fast speed for a roller coaster?
Suppose you want to ride the faster of two roller coasters. Does knowing each roller coasters top speed help you make the decision?
Do you think steel-frame roller coasters are faster than wood-frame roller coasters? Use the top-speed data to justify you answer

21. B
Identify the min and max values, ranges, means of each distribution. Use these stats to compare steel and wood
Identify the median and IQR of each, use these to compare the speeds
Make a box and whisker plots of each

22. Homework
You should be able to complete 9-16

23. Essential Questions
Investigation 1.1 Given a set of results, how might you use measures of center and variability (spread) to judge overall performance? be able to compare mean, median and MAD to help determine similarities and differences Investigation 1.2 What strategies might you use to evaluate numerical outcomes and judge success? Use MAD to see how spread apart the data is Investigation 1.3 How might you compare results to see if each sample responds to a survey in a similar way? How can using percentages help you make comparisons? use mode which appears most often, use percentages to help make predictions, easier to compare a precent when totals for a question are different Investigation 1.4 How might you decide whether steel-frame coasters or wood frame coasters are faster? Use a box and whisker plot to look for percentages that are higher