# mathematics

Top of FormQuestion 112 PointsWhat is the average?3 4 5 824510Bottom of FormTop of FormQuestion 212 PointsWhat is the median of these figure skating ratings?6.0 6.0 7.0 7.0 7.0 8.0 9.06.07.07.18.0Bottom of FormTop of FormQuestion 311 PointsTwo owners of a cattle ranch, Jo and Val, want to find the average weight for the ranchs 200 cows. Instead of weighing all of the cows:Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50)Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50)What is Jos margin of error, rounded to the nearest whole number? (The formula is )102050529Bottom of FormTop of FormQuestion 411 PointsA media personality argues that global temperatures are not rising, because every year an increase is reported such as 0.08 degrees C. The difference from the previous year is less than the margin of error of about 0.15 degrees C, so that difference should be ignored. What is a strong counterargument?Even 0.08 degrees is a lot and thus should be considered.The margin of error is just extra information and thus can be ignored.The difference with any previous decade is much greater than the margin of error.0.15 – 0.08 is 0.07, which is still an increase and thus should be considered.Bottom of FormTop of FormQuestion 511 PointsAn article reports that blue eyed people earn less than brown eyed people, with these numbers: average blue-eyed salary $35,000, average brown-eyed salary $37,000, p-value 0.45. Based on that reported p-value, and using the common definition of “statistical significance,” which is the case?The results are nowhere near to being statistically significant.The results are almost but not quite statistically significant.The results are just barely statistically significant.The results are strongly statistically significant.Bottom of FormTop of FormQuestion 611 PointsA group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people’s names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?199010010! (10 factorial)Bottom of FormTop of FormQuestion 711 PointsA lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try?1/71/121/241/64Bottom of FormTop of FormQuestion 811 PointsAbout 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?1 in 81 in 121 in 181 in 80Bottom of FormTop of FormQuestion 911 PointsKay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws, and must make both to win the game. What is the probability that Kay’s team will win the game?64%80%88%160% (so 100%)Bottom of FormTop of FormQuestion 1011 PointsA company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these probabilities: $10 0.9, $50 0.1. Over many weeks, what is a worker’s expected weekly bonus?(10 + 50) / 2 = $3010×0.9 + 50×0.1 = $14(10×0.9 + 50×0.1) / 2 = $7(10 + 50) / 10 = $6Bottom of FormTop of FormQuestion 1111 PointsEstimate the average by first rounding to the nearest 1,000:1,000 2,300 2,6002000300042006000Bottom of FormTop of FormQuestion 1211 PointsBoth sets of values have an average of 13. Is Set A’s standard deviation smaller, larger, or about the same as Set B’s? (Note: This question can be answered by knowing the concept of standard deviation, without actually computing the standard deviation).Set A: 1 2 3 23 24 25Set B: 8 10 12 14 16 18SmallerLargerAbout the sameUnable to tellBottom of FormTop of FormQuestion 1311 PointsIf a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is NOT significant, then the populations of blue-eyed people and brown-eyed people are ________ different salaries.unlikely to havevery likely to haveguaranteed to haveguaranteed to not haveBottom of FormTop of FormQuestion 1411 PointsHow many values are in the range 35 to 95?62616059Bottom of FormTop of FormQuestion 1511 PointsA restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bowl has 100 cards. What are the odds of Jo winning a free lunch?1/51/101/201/500Bottom of FormTop of FormQuestion 1611 PointsA medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?1%2%4%5%Bottom of FormTop of FormQuestion 1711 PointsA slot machine has 3 dials. Each dial has 30 positions, one of which is “Jackpot”. To win the jackpot, all three dials must be in the “Jackpot” position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot?1/30 = 0.03 or 3%3/(30+30+30) = 3/90 = 0.33 or 33%3/(30×30×30) = 3/27000 = 0.0001 or 0.01%1/(30×30×30) = 1/27000 = 0.00003 or 0.003%Bottom of FormTop of FormQuestion 1811 PointsIn any given year, a factory has a 20% probability of having an accident. About every how many years might the factory expect to have an accident?Every 1 yearEvery 2 yearsEvery 5 yearsEvery 20 yearsBottom of Form