MODULE 6 LESSON 1415 BOX PLOTS BOXANDWHISKER PLOTS

MODULE 6 LESSON 14/15 BOX PLOTS/ BOX-AND-WHISKER PLOTS

OBJECTIVES • Construct box plots from given sets of data and from 5 -number summaries • Summarize and describe data using 5 numbers and the IQR

DO NOW On your post it note WITHOUT TALKING, write • Your name • An estimate (approximate value) of the time, in minutes, it takes you to get to school When you finish, silently put your post it in numerical order on the board and return silently to your seat.

REVIEW VOCAB • First/lower quartile • Third/upper quartile • Quartile • Minimum • Maximum • IQR

TO FIND THE IQR OF A DATA SET 1. Arrange data from least to greatest. 2. Find the median of the data. 3. Find the median of the lower 50% 4. Find the median of the upper 50% 5. Subtract the lower median (lower quartile) from the upper median (upper quartile).

EXAMPLE 1 • Using our class data, create a dot plot of the time it takes to get to school.

ASK • What is the Q 2? Q 1? Q 3? • What is the minimum? • What is the maximum? • What is the IQR?

EXAMPLE 2 • Draw a line to mark each of the following: Min, Q 1, Median, Q 3, and Max.

TO CREATE A BOX PLOT 1. Graph the minimum, first quartile, median, third quartile, and maximum of the data set on a number line. 2. Connect Q 1 to Q 3 to make a box around the median. This is your IQR. 3. Draw a single line from Q 1 to the minimum. 4. Draw a single line from Q 3 to the maximum.

EXAMPLE 3 5 number summary Min = Q 1 = Median = Q 3 = Max =

ASK 5 number summary • Summarize. Min = 5 Q 1 = 10 Median = 20 Q 3 = 40 Max = 60 • What does the box plot tell you about the story of the data? • What does it not tell you? (doesn’t tell you how many pieces of data total or how many in each quartile)

EXAMPLE 4 Create a box plot using the summary. 5 number summary Min = 53 Q 1 = 79 Median = 84 Q 3 = 92 Max = 98

EXERCISES • To be completed in your notebook.

EXIT SLIP