1. Bivariate Data Learn to set up bivariate data in tables and calculate relative frequencies.

2. 43210 In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts in math.  Make connection with other content areas. The student will construct, interpret and identify patterns of associations for bivariate data displayed in two- way tables and scatterplots. - Write equation of line-of-best-fit. And use it to make predictions. - Calculate relative frequencies and describe their meaning. The student will construct scatterplots and two-way tables from bivariate data. - Draw line-of- best-fit for scatter plot. - Identify patterns of associations. - Able to generally describe relationship of bivariate data displayed in a two-way table. With help from the teacher, the student has partial success with level 2 and 3 elements. Even with help, students have no success with investigating patterns of association with bivariate data. Focus 7 - Learning Goal #2: The student will construct, interpret and identify patterns of associations for bivariate data displayed in two-way tables and scatterplots.

3. Vocabulary:  Categorical Data – data that is in two distinct groups  Male & Female  Has siblings & Does not have siblings  Republican & Democrat  Has chores & Does not have chores  Bivariate – data for two variables

4.  Thirty students were surveyed to see if they play sports or play an instrument. The data was organized as shown below. SportsInstrumentRow Total Male12315 Female51015 Column Total 171330 What can you conclude from this data? Copy this table into your notes.

5. Change to percents…  We can find relative frequencies by changing the data to percents.  Divide male sports by it’s row total (12/15 =.8)  Divide male instruments by it’s row total (3/15 =.2 )  Divide the male row total by the column total (15/30 =.5)  Repeat process for the rest of the rows. SportsInstrumentRow Total Male80%20%50% Female33%67%50% Column Total 57%43%100% What can you conclude from this data?

6. Rewrite the values of the table as relative frequencies. Has Pets YesNo Has Siblings Yes 3222 No 2719 1.Add up each row. 2.Add up each column. 3.Divide siblings yes pets yes by the row total (32/54 =.59) 4.Divide siblings yes pets no by the row total (22/54 =.41) 5.Divide siblings no pets yes by the row total (27/46 =.59) 6.Divide siblings no pets no by the row total (19/46 =.41) 7.Change row totals to percents. Has PetsRow Total YesNo Has Siblings Yes 322254 No 271946 Column Total5941100 Has PetsRow Total YesNo Has Siblings Yes 59%41%54% No 59%41%46% Column Total59%41%100%

7. What can we learn from the data?  We learned that the majority of the people surveyed had siblings.  We learned that you were just as likely to have a pet if you had siblings and if you didn’t have siblings.  We learned that the majority of the people surveyed had a pet. Has PetsRow Total YesNo Has Siblings Yes 59%41%54% No 59%41%46% Column Total59%41%100%