Unit 6 – Review Sheet Full Name:__________________________Date:____________ Period:____________

Directions: Show your thought process or work on a separate paper. If appropriate, write your final answer on this page. Round all answers to the nearest tenth. 1. You are given the following point totals of a basketball game for the Golden State Warriors. Make a box and whisker plot.

101, 86, 120, 147, 98, 123, 128, 139, 152, 101, 109, 96, 145, 111, 132, 102, 100, 98, 131, 123, 124, 94, 144, 139, 124, 102, 100

2. Jonas knows the following information about the 19 members in his travel group:5 members have been to both the United States and Australia. 11 members in total have only been to the United States.12 members in total have only been to Australia.Make a two-way frequency table.

3. A die is rolled. Find the probability that an odd number is obtained.

4. Make an appropriate graph for the data belowInstrument:

Guitar Trumpet Drum Saxophone Piano

Yearly Sales:

630 720 405 540 405

5. If given two dice, what is the probability that the sum of the two numbers rolled will equal 8?

6. Find the median value of the set of numbers {4, 12, 15, 3, 7, 10}

7. The arithmetic mean of 6, 19, and x is 19. What is the value of x?

8. What are the odds that you will draw neither an ace nor a queen if you draw a card at random from a deck of cards?

9. Start End Adopted

The Dog Park 16 8Super Pets 20 16Wags 18 6Bark Avenue 12 8Paws and Claws 15 4Pet Emporium 9 8Fido’s 18 11

The local humane society recently hosted a dog adoption event at 7 local pet stores. Each pet store started and ended the day with the number of dogs shown in the table of above. The number in the “Adopted” column is defined by the number of dogs at the start of the day minus the number of dogs at the end of the day. What is the median of the missing values in the “Adopted” column?

10. Boarding Lessons Total

January $50February $40March $80Total $260

The table above, which is missing some information, shows Lisa’s expenses for keeping a horse. If her boarding costs were the same each month, what were her total expenses for February?

11. A ladder height of 29 feet long is kept on the wall of height 20 feet in an incline manner. What is the distance between the bottom of the wall and the base of the ladder?

12. Write and/or draw a proof of the Pythagorean Theorem.

13. A right triangle has a hypotenuse of 36 centimeters. If one side of the right angle triangle is two times the other side of the triangle, what is the length of the larger side?

14. A jar contains four blue marbles and two green marbles. Without looking, two marbles are drawn from the jar. What is the probability that two marbles with the same color will be selected?

15. Two classes were given a math test. The first class had 25 students and the average test score was 86%. The second class had 15 students and their average score was 94%. If the teacher combined the test scores of both classes, what is the average of both classes together?

16. The area of a right triangle is 27 square inches, and the longer leg is 3 more than the shorter leg. What is the length of the hypotenuse of this right triangle? (This problem involves quadratics)

17. 18.

19. The median of a list of 99 consecutive integers is 60. What is the greatest integer in the list?

20.