Math 8 Lesson: Box Plots

Here are the birth weights, in ounces, of all the puppies born at a kennel in the past month.
13 14 15 15 16 16 16 16 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 19 20[br][br]What do you notice and wonder about the distribution of the puppy weights?
Twenty people participated in a study about blinking. The number of times each person blinked while watching a video for one minute was recorded. The data values are shown here, in order from smallest to largest.
3 6 8 11 11 13 14 14 14 14 16 18 20 20 20 22 24 32 36 51
Use the grid and axis to make a boxplot of this data set.
Find the median (Q2) and mark its location.[br]Find the first quartile (Q1) and the third quartile (Q3). Mark their locations.[br][br]A[b] box plot[/b] can be used to represent the five-number summary graphically. Let’s draw a box plot for the number-of-blinks data. [br][br][list][*]Draw a box that extends from the first quartile (Q1) to the third quartile (Q3). Label the quartiles.[/*][*]At the median (Q2), draw a vertical line from the top of the box to the bottom of the box. Label the median.[/*][*]From the left side of the box (Q1), draw a horizontal line (a whisker) that extends to the minimum of the data set. On the right side of the box (Q3), draw a similar line that extends to the maximum of the data set.[/*][/list]
What are the minimum and maximum values?
You have now created a box plot to represent the number of blinks data. What percentage of the data values are represented by each of these elements of the box plot?
The left whisker[br]
The box
The right whisker
Suppose there were some errors in the data set: the smallest value should have been 6 instead of 3, and the largest value should have been 41 instead of 51. Determine if any part of the five-number summary would change. If you think so, describe how it would change. If not, explain how you know.
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