Coordinate Algebra: Benchmark 1 Review Name: ______

Coordinate Algebra: Benchmark 1 Review Name: ______SID: Statistics Review

1. Judy recorded the low temperatures at Clear Lake for ten days in May. She made the box and whisker plot to display her data.

Which value defines the lower and upper quartile of the temperatures?

2. The number of runs scored by the Lions for six games is shown: 5, 9, 1, 5, 2, 7 If the Lions scored 13 runs in their seventh game, describe what happens to the mean and median.

3. Any time a set of data has a large MAD, it means that the data must be skewed to then left or the right. True or False

4. Read the following and answer the questions. The Caldwell Family and the Greaves Family both have 8 family members. The ages of the Caldwell Family are 29, 2, 27, 41, 9, 54, 13, and 5 The ages of the Greaves Family are 22, 21, 1, 7, 27, 48, 39, and 15

a. What are the means for the Caldwell and Greaves Families? What are the medians?

b. Which is a better measure of center for each family?

c. What is the MAD for the Caldwell Family?

d. What is the MAD for the Greaves Family?

e. What do these 2 MADs tell you about their families? How do they compare?

Use the Box and Whisker Plot below to answer #5 & 6.

5. Tell whether the following is true or false for the box and whisker plot above. a. Over half of all the parents of elementary school students are 40 or younger. T or F b. The range of the ages of the parents of elementary students is 20 years. T or F c. The ages of parents of elementary school students fall within a smaller range than the ages of parents of high school students. T or F d. The ranges for both elementary and high school parents are the same. T or F e. The majority of the parents of high school students are 35 or older. T or F f. A majority of all the parents are 30 years or older. T or F

6. What percentage of high school parents are older than 50? Younger than 35?

7. When do you use the mean to best represent the measure of center for a set of data and when do you use the median? Use the table to answer questions #8 – 15. 8. How many girls play sports?

9. How many boys read?

10. How many students Watch TV overall?

11. What is the marginal frequency of students who listen to music?

12. What percentage of students play sports?

13. What percentage of girls watch TV?

14. What fraction represents the number of boys who listen to music?

15. What fraction represents the number of students who watch TV?

16. What does mean measure? What does MAD measure? What does the median measure? What does range measure?

17. Write a statement that describes the correlation coefficient. a. -0.8 d. -0.1 b. 0.7 e. 0 c. -1 f. 0.9 Tracey Jason Game (avg. 20) (avg. 20)

Game 1 30 15 Game 2 20 25 Game 3 5 20 Game 4 25 25 Game 5 20 15

18. Tracey and Jason played 5 games on a handheld video game and recorded their scores in the table. Find the mean absolute deviation for their scores and identify which statement below is true when comparing their variability.

19. The scatter plot below shows data that were collected to compare the amount of television a student watched (hours per week) and his or her GPA.

G.CO: Transformations Review KNOW YOUR VOCABULARY!!!! 1. If two intersecting lines create four 90o angles, what are the two lines called?

2. What are the measurements of: a. angle a = b. angle b = c. angle c =

b. What is the value of angle A? What is the value of angle B?

4. List the functions that correlate with the following transformations: a. Translated to the left by k b. Translated to the right by k c. Translated up by k units d. Translated down by k units e. Reflection over the x-axis

5. A point is located at (4, 3) and undergoes a single type of transformation. Which of the following transformations could be used to create an image located at (4, -3)? 1) Translation 2) Reflection 3) Rotation

6. Write the new point of the point (3, 4) was transformed: a. Down 3 and left 5 b. Reflected over the x-axis c. Rotated 270o counter clockwise d. Rotated 180o e. Reflected over the y-axis

7. Which regular polygon remains unchanged if it is rotated 72° about its center?

8. A set of regular polygons contains a quadrilateral, a hexagon, an octagon, and a nonagon. These polygons are rotated about their centers by an angle x such that the quadrilateral and the octagon are carried onto themselves but the hexagon and the nonagon are not. What could be the angle of rotation, x? (Do not answer 360)

9. A regular hexagon is rotated on a coordinate plane. Which rotation would result in a hexagon with vertices at the same coordinates as the vertices of the original hexagon? (Do not answer 360)

10. Given the pre-image: W (-10, 8), X (-2, -1), Y (0, 0), and Z (3, 7), give the new vertex coordinates for each of the following transformations a. Rotation about origin b. Reflect over the x-axis c. Translate up 5 and right 3 d. Rotate 180o 11. A rectangle is shown on the coordinate plane. a. Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.

b. What rotation would map the figure back onto itself (Remember: rectangles are not REGULAR shapes)

12. If and the supplement of < B is 27o, then m

13. How many lines of symmetry do the following figures have? a. Equilateral Triangle d. Regula Pentagon b. Square e. Regular Nonagon c. Regular Hexagon f. Regular Octagon

14. What transformation is shown below? (NOT a multiple choice question)

15. Specify a list of transformations that would put the re-image onto the image. Write a function for each. S'' T'' 6 4 D'' C''

4 2 R'' U'' A'' B'' 2

C D -2

-4 4 B A a. b. 6 S T V'' 4 8 W'' c. 2 d. V X''

5 5 10