Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Box-and-Whisker Plots
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Exercise 14 Page 343

Start by finding the data set values using the key from the given stem-and-leaf plot.

Box-and-Whisker Plot:

Box and wisker plot
Practice makes perfect

We will begin by looking at the given stem-and-leaf plot that represents the lengths (in inches) of the fish caught on a fishing trip.

Stem-and-leaf plot
To make a box-and-whisker plot, let's first find the data values by using the given plot. The key tell us that the stem shows ten and the leaves show units. With this information we can find each data value by adding the tens to each unit.
data values

From the data, we can see that the greatest value is 22 and the least value is 6. Additionally, the first quartile is 8, the third quartile is 14, and the median is 12.

five number summary

Now, let's draw a number line that includes the least and greatest value. Also, let's graph points above the number line for the five-number summary.

number line and five number summary

Finally, we can draw a box using Q_1 and Q_3. Then draw a line through the median and the whiskers from the box to the least and greatest values.

Box and whisker plot