Stat2Fa22Assignment1

Stat 2 Assignment 1 Name:____________________ SID: ____________________ Instructions: SHOW ALL YOUR WORK. Partial credit may be given, and full credit may NOT be given if work is not shown. You will need a calculator to do this assignment. 1. The histogram below summarizes budgets for about 5000 movies. You may assume that values are evenly distributed between the endpoints of each interval. (a) What percent of movies had a budget between 50 and 100 million dollars? ____________% (b) Which describes more of the movies (circle one)? budget from $75M-$100M OR budget from $100M-$200M (c) Which is larger (circle one)? median budget OR average budget (d) Calculate the median budget for this dataset. $ ____________ million Emily Gimenez 3037684392 n - interval - Area - width heig ht - 50 - 75 0 42 10 5 - 10 5 % - 16 2 % 75-100 25 0 228 5 . 7 - > 5 7 % 100-200 100 0 067 6 . 7 -> 6 71 - - - 16 . 2 5.7 . = (calculated above 6 7 % E 22 94 ⊥ 2 , 500th movie -45 . = - 54 9(x = 506 e X = 22 94

Stat 2 Assignment 1 Name:____________________ SID: ____________________ 2. A researcher is studying the relationship between various properties of wine and their taste characteristics. The histogram below shows the amount of residual sugar (sugar left after fermentation) in a collection of wines. However, one of the bars, between 3 and 5 grams per liter, is missing. Calculate the height of the missing bar and draw it in. (Show your work below, and indicate the numerical value in parentheses above the bar.)

Stat 2 Assignment 1 Name:____________________ SID: ____________________ 4. A statistics class contains 50 students at the beginning of the semester. On the first exam, the average score is 83 and the SD of the scores is 10. One student gets a 20 on the exam and decides to drop the course. (a) What is the average exam score among the remaining 49 students? Answer: __________ (b) How does the SD of the scores among the remaining 49 students compare to the original SD? (Circle one) It will be smaller than 10 It will be larger than 10 It will stay the same Explain your reasoning:

Stat 2 Assignment 1 Name:____________________ SID: ____________________