Pearson Algebra 1 Common Core, 2015
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Pearson Algebra 1 Common Core, 2015 View details
4. Box-and-Whisker Plots
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Exercise 1 Page 749

Arrange the data from least to greatest before identifying the minimum and maximum values and quartiles. We will need these values to make the box-and-whisker plot.

Minimum: 48
First Quartile: 54
Median: 100
Third Quartile: 188
Maximum: 256
Box-and-Whisker Plot: File Size (Megabytes)

Practice makes perfect

We want to identify the minimum, first quartile, median, third quartile, and maximum of the given data set. Then we will make a box-and-whisker plot using these values. Let's do these things one at a time.

Values

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 median, which can also be known as the second quartile (Q_2), separates the data into upper and lower halves.
  • The first quartile (Q_1) is the median of the lower half of the data.
  • The third quartile (Q_3) is the median of the upper half of the data.
Let's identify the five-number summary of the given data set. Do not forget to arrange the data from least to greatest first!

The minimum and maximum values are 48 and 256, respectively. The first quartile is 54 and the third quartile is 188. The median of the data is 100.

Box-and-Whisker Plot

We want to make a box-and-whisker plot using the obtained information. Minimum:& 48 First Quartile:& 54 Median:& 100 Third Quartile:& 188 Maximum:& 256 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.

  • The left whisker extends from the minimum to the first quartile.
  • The box extends from the first to the third quartile and has a vertical line through the median.
  • The right whisker extends from the third quartile to the maximum.

Let's make our box-and-whisker plot! File Size (Megabytes)