Unit 8 Review

Probability and Sampling

8A: Probabilities of Single-Step Events

I can get an idea for the likelihood of an event by using results from previous experiments.I can describe the likelihood of events using the words impossible, unlikely, equally likely as not, likely, or certain.I can tell which event is more likely when the chances of different events are expressed as fractions, decimals, or percentages.I can use the sample space to calculate the probability of an event when all outcomes are equally likely.I can write out the sample space for a simple chance experiment.I can explain whether certain results from repeated experiments would be surprising or not.I can estimate the probability of an event based on the results from repeating an experiment.I can explain why results from repeating an experiment may not exactly match the expected probability for an event.I can calculate the probability of an event when the outcomes in the sample space are not equally likely.I can simulate a real-world situation using a simple experiment that reflects the probability of the actual event.

8B: Probabilities of Multi-Step Events

I can use a simulation to estimate the probability of a multi-step event.I can write out the sample space for a multi-step experiment, using a list, table, or tree diagram.I can use the sample space to calculate the probability of an event in a multi-step experiment.I can design a simulation to estimate the probability of a multi-step real-world situation.

8C: Sampling

I can calculate the difference between two means as a multiple of the mean absolute deviation.When looking at a pair of dot plots, I can determine whether the distributions are very different or have a lot of overlap.I can explain why it may be useful to gather data on a sample of a population.When I read or hear a statistical question, I can name the population of interest and give an example of a sample for that population.I remember that when a distribution is not symmetric, the median is a better estimate of a typical value than the mean.I can determine whether a sample is representative of a population by considering the shape, center, and spread of each of them.I know that some samples may represent the population better than others.I know that selecting a sample at random is usually a good way to get a representative sample.I can describe ways to get a random sample from a population.

8D: Using Samples

I can consider the variability of a sample to get an idea for how accurate my estimate is.I can estimate the mean or median of a population based on a sample of the population.I can estimate the proportion of population data that are in a certain category based on a sample.I know that as the sample size gets bigger, the sample mean is more likely to be close to the population mean.I can use the means from many samples to judge how accurate an estimate for the population mean is.I can determine whether there is a meaningful difference between two populations based on a sample from each population.I can calculate the difference between two medians as a multiple of the interquartile range.I can decide what information I need to know to be able to compare two populations based on a sample from each.