1. Students in a class were given a quiz. These were their scores: 10 4 8 7 5 7 6 7 9 3 6 What is the mode, median, mean, range, standard deviation, variance, and IQR? 2. A student is taking an exam and doesn't know the answers to 3 of the questions, so they decide to guess randomly on all three of them. One of the questions is a true/false question, one is a multiple choice question with 3 possible answers, and one is a multiple choice question with 4 possible answers. What is the percentage chance that they will answer all 3 questions correctly? 3. Below are final course grade statistics for two different instructors. Use this information for the next two problems. Instructor A: * Mode = 72 * Median = 71 * Mean = 70.68 * Range = 62 * Standard Deviation = 8.12 * Variance = 65.93 Instructor B: * Mode = 80 * Median = 82 * Mean = 84.87 * Range = 42 * Standard Deviation = 4.86 * Variance = 23.62 Which Instructor had the highest average final course grades? Which instructor had the most variability in final course grades? 4. Gender Major Woman Engineering Man History Woman Business Non-Binary Sociology Man Administration of Justice Woman Business Woman Education Woman Psychology Man Psychology What is the probability of choosing a woman from this group? What is the percentage chance of choosing a man or a business major from this group? 5. The average price for a particular car is $18,000 with a standard deviation of $1,500. You are shopping for that car and get offered a price of $21,500. What is the z-score for this price? And what percentage of people paid a higher price than what you were offered? 6. On a standardized test of reading ability, Kim scored a 35 and John scored a 28. The distribution of test scores for the population is normal with a population mean for 32.50 and a population standard deviation of 6.25. - What percentage of people received a lower score than John? What percentage of people scored lower than Kim? What percentage of people scored between John and Kim