1. Bell Ringer
Create a Box Plot
7, 15, 2, 14, 8, 3, 15, 7
30, 25, 32, 19, 25, 4
nearpod.com
Code: BTHXV

2. Homework Create box plot and a dot plot with the following data set.
This will be graded!
Data Set One:
1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4
Data Set Two:
1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6

3. Standards
MGSE6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number.
MGSE6.SP.5 c Giving quantitative measures of center (median and/or mean) and variability (interquartile range)
MGSE6.SP.4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

4. BOX PLOT
A box plot can help you see the variation (CHANGE OR DIFFERNECE) in a data set.. The data is based on the minimum, first quartile, median, third quartile, and maximum.

5. Find the Following: Median, Q1, and Q3
Data Set:
1, 6, 10, 4, 2, 8, 15, 6, 3
Information needed to make a box plot.
Median= 6
Q1= 2.5
Q3= 9
Least Value Q1
Median Q3
Greatest Value
Now what is the least and the greatest number in the set?

6. Constructing a Box Plot
Make a box plot using the following set of data:
1, 6, 10, 4, 2, 8, 15, 6, 3
Step #1: Put the numbers in order from least to greatest:
1, 2, 3, 4, 6, 6, 8, 10, 15
Step #2: Create a number line…that extends beyond the upper/lower extremes.
Step #3: Find the Median…draw a line above the median on the number line.
Step #4: Find the Upper Quartile…draw a line above the upper quartile.
Step #5: Find the Lower Quartile…draw a line above the lower quartile.
Step #6: Create a box (a rectangle) above the number line with the upper and lower quartiles as two of the sides.
Step #7: Create straight lines that extend from the box to the upper and lower extremes.

7. Are there any questions?
Box Plot Practice
There are 12 people in a Red Pepper eating contest who ate the following amount of peppers:
4, 4, 4, 9, 15, 2, 5, 0, 10, 12, 1, 18
Put the numbers in order from least to greatest then find the median:
0, 1, 2, 4, 4, 4, 5, 9, 10, 12, 15, 18
BELOW THE MEDIAN (4.5)
ABOVE THE MEDIAN (4.5)
Are there any questions?

8. Identify the following parts:B E D A C
Highest
Value
Lowest
Value Q3 Q1
Median

9. Analyzing a Box Plot
25%
1/4
25%
1/4
25%
1/4
_____%
25%
1/4
50%
50%

10. How to find the: Inter-Quartile Range
Inter-Quartile Range – the difference between the upper and lower quartile of a set of data.
Inter-Quartile Range = Upper Quartile – Lower Quartile
Show where you could find the inter-quartile range on the
box-and-whisker plot below:
INTER-QUARTILE RANGE Q3 Q1

11. Colby graphed some data as shown in this box plot.
Which statement is true about Colby’s data?
The range of the data is 25.
One-half of the data is below 65.
The median of the data is 60.
Three-fourths of the data is below 90.
Bonus Question: What does 75 represents in the box plot?

12. Which of the following is not true about the box plot shown below?
The inter-quartile range is 8
The upper quartile is -2.
The median of the data is 1.
The lower extreme is -9.
Bonus Question: What does 6 represents in the box plot?

13. DEFINITION
A data display in which each data item is shown as a dot above a number line
In a dot plot a cluster shows where a group of data points fall.
A gap is an interval where there are no data items.

14. STEPS TO CREATE A DOT PLOT
Order numbers from least to greatest.
Draw a number line.
Label the number line with the minimum and the maximum then all the numbers that fall between them.
Put a dot above each number on the number line for each data entry in your set.

15. LETS TRY IT!
In an airline training program, the students are given a test in which they are given a set of tasks and the time it takes them to complete the tasks is measured. The following is a list of the time (in seconds) for a group of new trainees. 61, 61, 64, 67, 70, 71, 71, 71, 72, 73, 74, 74, 75, 77, 79, 80, 81, 81, 83 Display the data in a dot plot. Identify the cluster and gap(s)

16. Airline Training Program Test
ANSWER!
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

17. Airline Training Program Test
ARE THERE ANY CLUSTERS?
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds
Yes! 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

18. Airline Training Program Test
ARE THERE ANY GAPS?
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds
Yes! 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

19. WHAT IS THE AVERAGE TIME?
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds
About 73 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

20. Airline Training Program Test
WHAT IS THE MEDIAN TIME?
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds
73 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

21. Airline Training Program Test
WHAT IS THE MODE?
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

22. Airline Training Program Test
WHAT IS THE RANGE?
Airline Training Program Test
New Trainees
= 1 person
Time in Seconds
22 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

23. TRY IT!
In a science class, the students weighed some samples of dirt to the nearest pound. The weights of the samples are given below. 8lb, 4lb, 7lb, 3lb, 3lb, 3lb, 7lb, 1lb, 8lb, 4lb, 1lb, 3lb Make a dot plot for the data. Identify the cluster and gaps (if any)

24. Sample Weights = 1 sample Weight in pounds
ANSWER!
Sample Weights = 1 sample Weight in pounds 1 2 3 4 5 6 7 8

25. Create a dot plot for each.
Work Period
Create a dot plot for each.
1. 68, 70, 70, 71, 75, 80, 81, 82, 84,
75 75, 80, 75, 77, 75, 80, 83, 80,
71, 70
2. 11, 5, 9, 13, 8, 9, 9, 11, 10, 8, 6, 7,
12, 11, 13, 12, 7, 6, 11, 12, 10, 8

26. Make a box plot and a dot plot to display this data.
T.O.T.D
Mrs. Whitesides took a survey of ten 6th grade students. She asked each student how many items they recycle in a day. Below are her results.
0, 1, 1, 1, 2, 2, 2, 3, 3, 5
Make a box plot and a dot plot to display this data.