Data representations (Optional)
▶ Representing data
Data can be represented in multiple ways such as tables, bar graphs, histograms, and frequency plots. These methods provide different perspectives of the same information, helping to answer various questions about the data.
▶ Frequency tables & dot plots
Frequency tables and dot plots are handy tools in data representation. Frequency tables show how often each value appears, while dot plots provide a visual depiction of this information. These tools can be used to answer various questions about the data.
▶ Creating a histogram
A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups numbers into ranges. Taller bars show that more data falls in that range. A histogram displays the shape and spread of continuous sample data.
▶ Interpreting a histogram
In a cherry pie store, we use a histogram to understand the distribution of cherries on pies. We create buckets for different ranges of cherries, count the pies in each, and can answer questions about our pie inventory and cherry distribution!
▶ Reading box plots
Is this some kind of cute cat video? No! Box and whisker plots seek to explain data by showing a spread of all the data points in a sample. The "whiskers" are the two opposite ends of the data. This video is more fun than a handful of catnip.
▶ Constructing a box plot
Here's a word problem that's perfectly suited for a box and whiskers plot to help analyze data. Let's construct one together, shall we?.
▶ Worked example: Creating a box plot (odd number of data points)
A box-and-whisker plot is a handy tool for visualizing data. By ordering numbers, we can find the range, median, and quartiles. Practice makes perfect when mastering these concepts!
▶ Worked example: Creating a box plot (even number of data points)
Box-and-whiskers plots help visualize data ranges and medians. First, arrange your numbers from least to greatest. The smallest and largest numbers form the 'whiskers'. The median of the entire data set splits the 'box' in the middle. The medians of the top and bottom halves of the numbers form the 'box' boundaries.
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