Statistics

Statistical Concepts Projects

Statistics students have been learning about what statistics is as well as some basic statistical terminology such as samples, populations and variables. They learned about types of studies and different sampling methods. The students demonstrated their understanding of these concepts by creating multi-media presentations using their iPads. They used the Pic Collage app to create electronic posters displaying statistical terms, and then they added electronic media, explaining their understanding, to these posters using an app called Thinglink. Some of their creations are linked below.

Frequency Distributions and Graphs

Students have been learning about organizing raw data using both categorical and grouped frequency distributions. Then they learned how to graph the data that they had organized using a number of different graphs such as histograms, ogives, pie charts, Pareto charts and time series graphs. When graphing, students used Apple's Numbers app on their iPads to make their graphs professional looking. Some of their work is showcased below.

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Data Description

We are studying the calculations for measures of central tendency, such as mean, median and mode, as well as measures of variation such as the range and standard deviation. Since some of these calculations are quite lengthy, we are learning how to utilize our TI-84 calculators to find these statistics. We are also learning about measures of position, such as percentiles and quartiles and are beginning to learn about normal distributions by calculating z-scores. We are then using these statistics along with Chebyshev's Theorem and the Empirical Rule to estimate probability and make predictions regarding real world data.

Probability and Counting Rules

We are beginning our study of probability by calculating classical probabilities in situation where coins are flipped, dice are rolled and cards are drawn. As we learn more advanced techniques for calculating probability, including the addition rule for mutually exclusive events and the multiplication rule for independent and dependent events along with the calculations for combinations and permutations, we will be calculating more complicated probabilities such as the probability of getting certain poker hands.

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