IB Mathematics Analysis and Approaches Statistics & Probability

Question Type 1: Given some worded scenario of real-life data collection, outlining the characteristics of the data and possible problems

Question Type 1: Constructing histograms given the frequency distribution table

Question Type 2: Constructing cumilative frequency graphs given the frequency distribution table

Question Type 3: Finding the quartiles using the cumulative frequency graph

Question Type 4: Interpretating information from box and whisker plots

Question Type 5: Finding missing values in a box and whisker plot using given information

Question Type 6: Comparing two different data sets of box and whiskers

Question Type 1: Given some values for data, finding each: mean, mode, median and range

Question Type 2: Data given as parameters and finding the value of the data given some relationship/values of the central tendancy

Question Type 3: Given a frequency table, calculating the mean, median, modal class and range of the data

Question Type 4: Finding the value of the frequency of a specific class with some condition on mean, median or mode

Question Type 5: Given a data set, finding the value of the standard deviation, variance and IQR

Question Type 6: Given values of a specific data set and some characteristics, being able to find the similar values for another data set

Question Type 7: Determining the effect on mean, mode, median, range, variance, standard deviation and IQR given specific transformations of data

Question Type 1: Calculating the Pearsons moment-correlation coefficient r for a bivariate data set

Question Type 2: Calculating the linear relationship between the data in the form y=ax+b

Question Type 3: Forecasting another value given a linear fit

Question Type 4: Using bivariate data to plot scatter diagrams

Question Type 5: Describing the correlation

Question Type 1: Creating a sample space that shows each possible outcome for a given simple experiment

Question Type 2: Finding the set of outcomes that come under a certain event for a given experiment

Question Type 3: Using simple experiments to calculate probabilities

Question Type 4: Working with expected occurrences and probabilities

Question Type 1: Constructing Venn diagrams to calculate probabilities for 2 events

Question Type 2: Constructing Venn diagrams to calculate probabilities for 3 or more events

Question Type 3: Given a worded problem, converting to a tree diagram to calculate probability of an outcome

Question Type 4: Creating a table of outcomes to calculate probabilities of two different random events cojoint into one

Question Type 5: Working with conditions

Question Type 6: Working with replacement

Question Type 7: Given values of events, using diagrams to interpret probabilities

Question Type 1: Finding the probability of certain outcomes of random variables

Question Type 2: Finding the expected value of outcomes of random variables

Question Type 3: Finding certain values of parameters such that the probability table holds true

Question Type 1: Finding the probability of outcomes for binomial distribution using the GDC

Question Type 2: Using n and p as parameters and finding what values of either satisfy some conditions

Question Type 1: Using properties of normal distribution to find probabilities given some value

Question Type 2: Finding the interval for which a specific percentage of data is concentrated

Question Type 3: Finding the probability values of normally distributed variables

Question Type 4: Finding the value of X using inverse normal

Question Type 1: Finding regression x onto y instead of y onto x

Question Type 1: Finding the value of certain probability events given the values of others

Question Type 2: Finding the value of parameters that results in certain probabilities

Question Type 1: Finding the number of standard deviations a specific value is away

Question Type 2: Finding mean and standard deviation given probability and x value

Question Type 1: Finding the conditional probability

Question Type 2: Using Bayes' theorem

Question Type 1: Finding the standard deviation of grouped data with frequency table

Question Type 2: Finding the standard deviation of a discrete random variable

Question Type 3: Finding the probability for a given PDF

Question Type 4: Finding the median for a given PDF

Question Type 5: Finding the mode for a given PDF

Question Type 6: Finding the expected value for a given continuous distribution and PDF

Question Type 7: Finding the variance for a given continuous distribution and PDF

Question Type 8: For given values of either summary statistic, finding another corresponding value using properties