Statistics Name: ______Teacher: ______Block: ______Distributions of Data Assessment RETAKE ​ 65 Points Answer all questions completely. Show all necessary work.

Multiple Choice Place the answers in the spaces provided. Use capital letters. (2 points each)

_____1. A study of recent professional athletes looked at their handedness (left or right) and their mean salaries from the past three years. In this study:

A. Handedness is a categorical variable and mean salaries is a quantitative variable. B. Handedness and mean salaries are both quantitative. C. Mean salaries is categorical and handedness is quantitative. D. Mean salaries and handedness are both categorical.

_____2. Which of the following statements are true? I. Stemplots are only useful for quantitative datasets. II. Stemplots can show symmetry, gaps, clusters, and outliers.

A. I only B. II only C. I and II

_____3. The following is a histogram showing the frequency of tips that John made over the past 50 days while working at an ice cream parlor. In what percent of these 50 days did John make less than $30?

A. 13% B. 72% C. 42% D. 21%

_____4. When looking at the income of head chefs at five star restaurants in New York City, most earn between $90,000 and $100,000. However, some earn $80,000, a few earn $70,000 and there’s a very small number that earns $60,000. And, one new restaurant’s head chef earned $40,000. The distribution of these salaries is:

A. Skewed right B. Skewed left C. Symmetric D. Skewed on both sides

Statistics Name: ______Teacher: ______Block: ______Short Answer Answer each question completely.

5. The following graph displays the percent of residents that are aged 65 and over in the states in the U.S. a. Describe the shape of the distribution. (3 points)

b. What is the center of the distribution? (3 points)

c. What is the spread/range of the distribution? (3 points)

6. The following histogram represents lemonade sales for a lemonade stand on Ridge Road this past Summer.

Discuss the important features of this histogram, including: peaks, shape, center, spread, and any outliers. (8 points)

Statistics Name: ______Teacher: ______Block: ______7. The following table gives the salaries of the players on the New York Yankees baseball team for the 2008 season. For the following dataset, make a histogram. Discuss the shape ​ (including any peaks or outliers that you may see) spread, any modes, and find the exact median of the data. (10 points)

Alex Rodriguez $28,000,000 Morgan Ensberg $1,750,000

Jason Giambi $23,428,571 Andrew Brackman $1,184,788

Derek Jeter $21,600,000 Wilson Betemit $1,165,000

Bobby Abreu $16,000,000 Brian Bruney $725,000

Andy Pettitte $16,000,000 Billy Traber $500,000

Mariano Rivera $15,000,000 Melky Cabrera $461,200

Jorge Posada $13,100,000 Phil Hughes $406,350

Johnny Damon $13,000,000 Shelley Duncan $398,300

Hideki Matsui $13,000,000 Sean Henn $397,448

Mike Mussina $11,071,029 Ian Kennedy $394,275

Carl Pavano $11,000,000 Jeffrey Karstens $393,300

Kyle Farnsworth $5,916,666 John Albaladejo $393,225

Chien­Ming Wang $4,000,000 Ross Ohlendorf $391,425

LaTroy Hawkins $3,750,000 Joba Chamberlain $390,000

Robinson Cano $3,000,000 Humberto Sanchez $390,000

Jose Molina $1,875,000 (Use the space below)

Statistics Name: ______Teacher: ______Block: ______8. Mr. Brown gave a Statistics test to both of his classes. He wants to compare the scores of each class. Below are the scores for each class.

Class A 45 67 91 90 84 74 96 70 80 99 68 88 81 79 72 94 84 92 100 90

Class B 90 94 85 75 62 98 84 77 85 86 90 76 80 69 95 81 97 72 69 89

a. Make a back­to­back stemplot. (8 points)

b. Discuss and compare the important features (center, shape, spread, peaks etc) ​ ​ of the 2 distributions. Which class got better grades? (8 points)

Statistics Name: ______Teacher: ______Block: ______9. In order from largest to smallest, identify the four major classifications for measuring data discussed in Mr. Benny’s class. (4 points)

______

10. In order, identify the four steps of the statistical problem solving process discussed in Mr. Enny’s class. (4 points)

______

Matching 11. Place the letter assigned to each variable in the appropriate box. (8 points)

Categorical Quantitative A. Homeroom Room Numbers B. Class Grade Level (9, 10, 11, 12) C. 100 meter dash times D. Concert Ticket Prices E. Birthdays of Seniors F. Heights of NBA Players G. Student Test Averages H. Students’ favorite colors

Free Response 12. List and explain the differences between an experiment and an observational study (2 points)