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6.8 Data Sets and Distributions

I can collect the correct data to answer a question and use the correct units.
I can explain the difference between categorical and numerical data.

I can tell when data has variability.

I can describe the information presented in tables, dot plots, and bar graphs.
I can use tables, dot plots, and bar graphs to represent distributions of data.

I can describe the center and spread of data from a dot plot.

I can use a dot plot to represent the distribution of a data set and answer questions about the real-world situation.
I can use center and spread to describe data sets, including what is typical in a data set.

I can recognize when a histogram is an appropriate graphical display of a data set.
I can use a histogram to get information about the distribution of data and explain what it means in a real-world situation.

I can draw a histogram from a table of data.
I can use a histogram to describe the distribution of data and determine a typical value for the data.

I can describe the shape and features of a histogram and explain what they mean in the context of the data.
I can distinguish histograms and bar graphs.

I can explain how the mean for a data set represents a “fair share.”
I can find the mean for a numerical data set.

I can describe what the mean tells us in the context of the data.
I can explain how the mean represents a balance point for the data on a dot plot.

I can find the MAD for a set of data.
I know what the mean absolute deviation (MAD) measures and what information it provides.

I can say what the MAD tells us in a given context.
I can use means and MADs to compare groups.

I can find the median for a set of data.
I can say what the median represents and what it tells us in a given context.

I can determine when the mean or the median is more appropriate to describe the center of data.
I can explain how the distribution of data affects the mean and the median.

I can use IQR to describe the spread of data.
I know what quartiles and interquartile range (IQR) measure and what they tell us about the data.
When given a list of data values or a dot plot, I can find the quartiles and interquartile range (IQR) for data.

I can use the five-number summary to draw a box plot.
I know what information a box plot shows and how it is constructed.

I can use a box plot to answer questions about a data set.
I can use medians and IQRs to compare groups.

I can decide whether mean and MAD or median and IQR would be more appropriate for describing the center and spread of a data set.
I can draw an appropriate graphical representation for a set of data.
I can explain what the mean and MAD or the median and IQR tell us in the context of a situation and use them to answer questions.