Warmup
Here are the birth weights, in ounces, of all the puppies born at a kennel in the past month.
What is your observation about the distribution of the puppy weights?
Activity #1
Representing Box Plots.
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.
A box plot can be used to represent the five-number summary graphically. Let’s draw a box plot for the number-of-blinks data.
You have now created a box plot to represent the number of blinks data. What fraction of the data values are represented by each of these elements of the box plot;
(1.) The left whisker?
(2.) The box?
(3.) The right whisker?
(4.) 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.
Activity #2
Box Plots Practice.
Activity #3
Practice Questions.
Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data in the summer. Here is a box plot that summarizes their data.
(1.) What is the greatest number of books read by a student in this group?
(2.) What is the median number of books read by the students?
(3.) What is the interquartile range (IQR)?
Use this five-number summary to draw a box plot. All values are in seconds. Minimum: 40, First quartile (Q1): 45, Median: 48, Third quartile (Q3): 50, Maximum: 60.
The data shows the number of hours per week that each of 13 seventh-grade students spent doing homework. 3, 10, 12, 4, 7, 9, 5, 5, 11, 11, 5, 12, 11.
Challenge #1
Here is a dot plot that represents a data set. Explain why the mean of the data set is greater than its median.
Challenge #2
The box plot displays the data on the response times of 100 mice to seeing a flash of light. How many mice are represented by the rectangle between 0.5 and 1 second?