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Module E Statistics with TI-Nspire™ Technology Module E Statistics with TI-Nspire™ Technology Lesson 2: Properties In the previous lesson you learned: The difference between numerical and categorical data. That you need different graph-types, depending on the type of data. How to calculate statistics to characterize the central tendency and the dispersion of a dataset. That the distribution of a sample looks like the distribution of the population. There is a difference between the mean and standard deviation of a sample and the mean and standard deviation of the population. That some populations can be described by a Gaussian curve. That you can calculate percentages by integrating a density function. How to graph a relationship between two variables and add a regression curve. 3 | Lesson E.2 TI-Nspire™ Technology In this lesson you will: • • • • Learn how to generate a random sample out of a population. Change the bin settings of a histogram. Compare the distribution of a sample with the population. Investigate how a value in the dataset can influence the mean and median of a sample. 4 | Lesson E.2 Example 1: Sample and population • • • Use the catalog to generate your own sample out of a normal population. Draw a histogram and change the bin settings. Compare the histogram with the normal distribution of the population. 5 | Lesson E.2 Example 2: Mean and Median • • • Calculate mean and median of the sample. Draw a dot plot and a box plot in the same work area. Slide points of the dot plot and see how calculation and box plot change. 6 | Lesson E.2 In this lesson you learned: How to generate a random sample. To calculate statistics of a sample. To draw a histogram and change the bin settings. To draw a function above the histogram and compare the histogram with the distribution of the population. To draw a box-plot and a dot-plot. To use the dynamic link between the plots and the data to explain the difference between the mean and the median. 7 | Lesson E.2 Congratulations! You have just finished lesson E.2! 8 | Lesson E.2