In: Statistics and Probability
1. New York Yankee Roger Maris held the single season home run record from 1961 until 1998. Here are Maris' home run counts for his 10 years in the American League: 14 28 16 39 61 33 23 26 8 13 Maris' record 61 home runs in 1961 is an outlier in this data set. Question 1. Find the mean, median, and the standard deviation. Mean: Median: Stand deviation: Question 2. Find the mean, median, and standard deviation for the 9 observations remaining when you leave out the outlier. Mean: Median: Stand deviation: Did omitting the outlier increase or decrease the mean and standard deviation? (your answer should be one of the words "increase" or "decrease", without the quotes).
2.Four states had recent ballot measures about imposing limits on damage awards or attorneys' fees in medical malpractice cases. Find the mean and the standard deviation of the numbers of voters per state in favor of this measure, using the data in the table. (Round your answers to the nearest whole number.) mean votes standard deviation votes State Number in Favor Florida 4,435,173 Nevada 465,325 Oregon 744,264 Wyoming 15,622
3.A nonprofit organization sells chances for a $72,000 classic Mustang at $100 per ticket. It sells 1500 tickets and offers four prizes, summarized in the table. What are the expected winnings (or loss) for each ticket? (Round your answer to the nearest cent.) Prizes Amount First $72,000 Second 5,000 Third 2,500 Fourth 1,100 There is an expected of $ .
4. Suppose a student is offered a chance to draw a card from an ordinary deck of 52 playing cards and win $10 for an ace, $2 for a king, and $1 for a queen. If the student pays $4 to play the game, what is the amount the student expects to win each time? $