Accelerated 8 March 1

Accelerated 8

March 1, 2021

Two way frequency tables

• The data from a survey of 50 students is shown in the Venn diagram. The students were asked whether or not they were taking a foreign language and whether or not they played a sport.

• 1. How many students are taking a foreign language?  

• 2. How many students play a sport?  

• 3. How many students do both?  

• 4. How many students do not play a sport and do not take a foreign language?  

• 5. How many students play a sport but do not take a foreign language? 

Two way frequency tables cont.

• A two-way table is similar to a Venn diagram. A two-way table shows data that pertain to two different categories. The data from one sample group is shown as it relates to two different categories. 

• The same information from the Venn diagram above is shown below as a two-way table, where one category is represented by rows and the other category is represented by columns.

• The totals shown are for the corresponding row or column with a grand total of 50 students in the data set. 

Construct a two-way table

Felipe surveyed students at his school. He found that 78 students own a cell phone and 57 of those students own an MP3 player. There are 13 students that do not own a cell phone, but own an MP3 player. Nine students do not own either device. Construct a two-way table summarizing the data.

Two-way table examples.

Watch lesson video.

Cell phone vs tablet.

A survey of eighth graders was conducted. 88 students own a table and 67 students have a cell phone. 23 students do not have a table but do have a cell phone. 19 students do not have either a cell phone or a tablet.

Popcorn vs candy.

100 patrons in a movie theatre were asked if they liked popcorn or candy. Out of 30 patrons who like popcorn, 20 also liked candy. There were 60 patrons who liked candy.

Multiple Choice

Quiz 17 Review Question: Go look up what you answered, keep it the same if it was correct.

Which is an equation of the line graphed below?

• $y=2.5x-2$

• $y=0.4x-2$

• $y=0.4x+5$

• $y=2.5x+5$

Multiple Choice

Using the graph, which is the approximate line of best fit for this data?

• $y=3x-4$

• $y=3.5x-5.8$

• $y=4x-7$

• $y=4.5x-10.2$

Multiple Choice

The table below shows the average verbal and math score on a test for students in seven states. Using the line of best fit for the data, what is the approximate predicted average math score for a state that had an average verbal score of 500?

• 550

• 560

• 570

• 580

Multiple Choice

A set of data is shown. The data is modeled with a linear best-fit function. Which function best models the data?

• $f\left(x\right)=6.7x+3.6$

• $f\left(x\right)=4.5x-0.5$

• $f\left(x\right)=3.6x+6.7$

• $f\left(x\right)=0.5x-4.5$