Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
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Exercise 21 Page 267

We use a dot plot to show the number of times each numerical value occurs in a data set.

See solution.

Practice makes perfect
We want to describe an example situation in which a dot plot will be an appropriate data display. First let's recall that we use a dot plot to show the number of times each numerical value occurs in a data set. Imagine that we roll a six-sided die.
When we roll a six-sided die we have 6 possible outcomes that are in form of numbers. Therefore, we can use a dot plot to show how many times each outcome occurred after a particular number of trials. The dot plot for 30 rolls could look like the following. Notice that this is only an example solution as a dot plot can be an appropriate data display for many other situations.

Extra

Types of Data Displays

Let's recall the types of data displays we can use to describe a data set.

Data Display When Do We Use It?
Pictograph To show data using pictures
Dot Plot To show the number of times each value occurs in a data set
Stem-and-Leaf Plot To show how ordered numerical data are distributed
Box-and-Whisker Plot To show the variability of a data set by using quartiles
Circle Graph To show data as parts of a whole
Bar Graph To show frequencies of data values in specific categories
Histogram To show frequencies of data values in intervals of the same size
Line Graph To show how data change over time
Scatter Plot To show the relationship between two data sets using ordered pairs plotted in a coordinate plane