Lesson 9 Two-Way Streets Practice Understanding

Ready

Write the explicit linear function for the given information.

1.

$(3, 7) (5, 13)$

2.

Mike earns $$ 11.50$ an hour.

3.

$x$	$y$
$- 5$	$- 2$
$- 2$	$4$
$1$	$10$

4.

$(- 2, 12) (6, 8)$

5.

6.

Set

Here is the data from Mr. Austin’s $10$ -point quiz. Students needed to score $6$ or better to pass the quiz.

1st Period Math	2nd Period Math	3rd Period Math
$6, 4, 3, 7, 5,$ $9, 5, 4, 6, 6,$ $8, 5, 7, 3, 6,$ $2, 8, 7, 10, 9$	$3, 3, 8, 6, 6,$ $9, 5, 8, 5, 3,$ $5, 5, 7, 5, 7$	$9, 8, 10, 5, 9,$ $7, 8, 9, 8, 3,$ $8, 10, 8, 7, 5$

1st Period Math

2nd Period Math

3rd Period Math

$6, 4, 3, 7, 5,$

$9, 5, 4, 6, 6,$

$8, 5, 7, 3, 6,$

$2, 8, 7, 10, 9$

$3, 3, 8, 6, 6,$

$9, 5, 8, 5, 3,$

$5, 5, 7, 5, 7$

$9, 8, 10, 5, 9,$

$7, 8, 9, 8, 3,$

$8, 10, 8, 7, 5$

7.

Make a two-way frequency table showing how many students passed the quiz and how many students failed the quiz in each period.
Shade the cells containing the joint frequency numbers in the table. The unshaded numbers are the marginal frequencies.

	1st Period	2nd Period	3rd Period	Total
Passed
Failed
Total

8.

If Mr. Austin wanted to see how many students in all $3$ periods combined passed the quiz, where would he look?

9.

If Mr. Austin wanted to write a ratio of the number of passing students compared with the number of failing students for each period, where would he find the numbers he would need to do this?

For each two-way table, create the indicated relative frequency table, and provide two observations with regard to the data.

10.

This table represents survey results from a sample of students regarding mode of transportation to and from school.

	Walk	Bike	Carpool	Bus	Total
Boys	$37$	$47$	$27$	$122$	$233$
Girls	$38$	$22$	$53$	$79$	$192$
Total	$75$	$69$	$80$	$201$	$425$

Create the relative frequency of column table. Then, write two observations about the data in the table.

	Walk	Bike	Carpool	Bus	Total
Boys
Girls
Total	$100 %$	$100 %$	$100 %$	$100 %$	$100 %$

11.

The two-way table contains survey data regarding family size and pet ownership.

	No Pets	Own One Pet	More than One Pet	Total
Families of $4$ or Less	$35$	$52$	$85$	$172$
Families of $5$ or More	$15$	$18$	$10$	$43$
Total	$50$	$70$	$95$	$215$

Create the relative frequency of row table. Then, write two observations about the data in the table.

	No Pets	Own One Pet	More than One Pet	Total
Families of $4$ or Less				$100 %$
Families of $5$ or More				$100 %$
Total				$100 %$

12.

The two-way table below contains survey data about boys’ and girls’ shoes.

	Athletic Shoes	Boots	Dress Shoes	Total
Girls	$21$	$35$	$60$	$116$
Boys	$50$	$16$	$10$	$76$
Total	$71$	$51$	$70$	$192$

Create the relative frequency of whole table. Then provide two observation statements.

	Athletic Shoes	Boots	Dress Shoes	Total
Girls
Boys
Total				$100 %$

Go

For each set of data determine the mean, median, range, and standard deviation. Then create a box-and-whisker plot.

13.

$23, 24, 25, 20, 25, 29, 24, 25, 30$

14.

$20, 24, 10, 35, 25, 29, 24, 25, 33$

15.

How do the data sets in problems 13 and 14 compare to one another?

For each set of data determine the mean, median, range, and standard deviation. Then create a histogram with a bin width of $2$ .

16.

$2, 3, 4, 5, 3, 4, 7, 4, 4$

17.

$1, 1, 3, 5, 5, 10, 5, 1, 14$

18.

How do the data sets in problems 16 and 17 compare to one another?