7.8 Probability and Sampling
- 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 estimate the probability of an event based on the results from repeating an experiment.
- I can explain whether certain results from repeated experiments would be surprising or not.
- I can calculate the probability of an event when the outcomes in the sample space are not equally likely.
- I can explain why results from repeating an experiment may not exactly match the expected probability for an event.
- I can simulate a real-world situation using a simple experiment that reflects the probability of the actual event.
- 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.
- 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 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 remember that when a distribution is not symmetric, the median is a better estimate of a typical value than the mean.
- I can describe ways to get a random sample from a population.
- I know that selecting a sample at random is usually a good way to get a representative sample.
- 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 can use the means from many samples to judge how accurate an estimate for the population mean is.
- I know that as the sample size gets bigger, the sample mean is more likely to be close to the population mean.
- I can calculate the difference between two medians as a multiple of the interquartile range.
- I can determine whether there is a meaningful difference between two populations based on a sample from each population.
- I can decide what information I need to know to be able to compare two populations based on a sample from each.
- I can compare two groups by taking a random sample, calculating important measures, and determining whether the populations are meaningfully different.