Chapter Review
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Arrange the data from least to greatest before identifying the minimum and maximum values and quartiles. You will need these values to make the box-and-whisker plot.
Example Box-and-Whisker Plot: Age of volunteers (Years)
Distribution: Skewed right
We want to make a box-and-whisker plot that represents the data set. In order to do that, we will first identify the minimum, first quartile, median, third quartile, and maximum of the given data. Let's do these things one at a time.
Quartiles are values that divide a data set into four equal parts. When quartiles are combined with the minimum and maximum values, it is often called the five-number summary
of the data set.
The minimum and maximum values are 14 and 22, respectively. Since the number of values in the lower half is even, the first quartile is the average of the two middle values. First quartile: 14+ 162= 15 The number of values in the upper half is also even, therefore the second quartile is the average of the two middle values. Second quartile: 20+ 212= 20.5 The median of the data is 17.
We want to make a box-and-whisker plot using the obtained information. Minimum:& 14 First Quartile:& 15 Median:& 17 Third Quartile:& 20.5 Maximum:& 22 This type of graph summarizes a set of data by displaying it along a number line. It consists of three parts: a box and two whiskers.
Let's make our box-and-whisker plot! Ages of volunteers (Years)
Now, let's find the distribution of the data. We can see that most of the data is on the left side of the plot and that the right whisker is longer than the left one. Therefore, the distribution is skewed right.