AP Stat - Chapters 1-4 - Multiple Choice - Cumulative Test 2023/2024 already passed

AP Stat - Chapters 1-4 - Multiple Choice - Cumulative Testthe following histogram represents the distribution of acceptance rates (% accepted) among 25 business schools in 1997, what % of schools have an acceptance rate above 40% - correct answer know how to read a histogram (variable vs. freq, fraction -> %) you want to use numerical summaries to describe a distribution that is strongly skewed to the left, which combination of measure of center and spread would be the best to use (mean and IQR, mean and stand dev, median and range, median and stand dev, median and IQR) - correct answer median and IQR (it is skewed, don't use mean or stand dev b/c they are for symmetric data) a set of data has a mean that is much smaller than the median, which of the following statements is most consistent with this info (distrib is symmetric, bimodal, skewed right, skewed left, the data set probably has a few high outliers) - correct answer the distrib is skewed left (mean chases the tail, hand holds direction of skew) the variance of 16 people's weights (in pounds) is computed to be 29.16, the stand dev of these measurements is - correct answer 5.4 (stand dev² = variance) the median age of five elephants at a certain zoo is 30 years, one of the elephants, whose age is 50 years, is transferred to a different zoo, the median age of the remaining four elephants is (40, 30, 25, less than 30, cannot be determined from the info given) - correct answer cannot be determined from the info given (M=30, 5 total, x y 30 z 50 or x y 30 50 z) a survey typically records many variables of interest to the researcher omvp;ved, below are some of the from a survey conducted by the U.S. Postal Service, which of the variables is categorical (county of residence, number of people living in household, total household income, age of respondent, number of rooms) - correct answer county of residence (categorial - categories, qualities) (using a dot plot) the median number of AP courses taken by Mr. Williams students is - correct answer find the middle number (using a dot plot) the IQR for the number of AP courses is - correct answer find Q1 and Q3, IQR = Q3-Q1, DON'T INCLUDE MEDIAN WHILE FINDING Q1 AND Q3 which of the following statements is NOT true (in a symmetric distrib the mean and median are equal, 50% of the scores in a distrib are between the first and third quartiles, in a symmetric distrib the median is halfway between the first and third quartiles, the median is always greater than the mean, the range is the difference between the largest and the smallest observation in the data set) - correct answer the median is always greater than the mean (using table) the proportion of males that are registered as democrats - correct answer democrat (that are males)/male (total) (using table) the percentage of the proportion of males that are registered as democrats is part of (the marginal distrib of political party registration, the marginal distrib of gender, the conditional distrib of gender among democrats, the conditional distrib of political party registration among males, the conditional distrib of males within gender) - correct answer the conditional distrib of political party registration among males (marginal freq - the totals of each row and column, marginal distrib - the collection of all the marginal freq for ONE variable, conditional distrib - describes the relationship between TWO categorical variables, NUMERATOR (y) AMONG DENOMINATOR (x) (y/x)) (using table) the proportion of registered democrats that are male - correct answer male (that are democrats)/democrats (total) which of the following graphs accurately represents the distrib for political party registration for each gender - correct answer other variable (x) vs. relative freq (y), other variable -> gender, segmented bar chart - segments for diff variables, diff variable in this case is political party, need to look at data and compare to graph based on the boxplot, which of the following statements is true (maximum salary is about _________, the minimum salary is about __________, the range of the middle half of the salaries is about ___________, 25% of the employees make more than _________) - correct answer dots are outliers, where starts is minimum, first vertical line is Q1, second vertical line is median (Q2), third vertical line is Q3, where line ends is maximum, range of middle half is the IQR, between each quartile represents 25% of the data, include the outliers in minimum and maximum the first sentence a novel has 62 words, the five number summary for the lengths of the words is 1,2,3.5,6,12, according to the ___________ rule for identifying outliers, does this distrib have any