1. Cavalcade of Statistics
Welcome to Math 6
Cavalcade of Statistics

2. Objectives Develop understanding of statistical variability.
Summarize and describe distributions.

3. Review of Box and Whisker Plot

4. Which choice shows a set of data that could be represented by the plot below?
EXAMPLE 1
1, 3, 5, 6, 7, 7, 8, 13, 19, 20
1, 3, 5, 6, 6, 8, 13, 14, 19, 20
1, 2, 3, 5, 7, 8, 8, 13, 19, 20
1, 5, 5, 6, 6, 6, 8, 13, 19, 20

5. Create a box plot below to represent the data.
The data below represents the numbers of books that twelve students read.
2, 4, 7, 8, 9, 12, 14, 18, 21, 30, 32
Create a box plot below to represent the data.
EXAMPLE 2

6. Which box plot represents a set of data with the largest interquartile range?
EXAMPLE 3 D C

7. Review of Finding the Mean of a data set.

8. Ernest earned 84, 97, 94, 75, and 90 on his first 5 tests
Ernest earned 84, 97, 94, 75, and 90 on his first 5 tests. What is the minimum grade Ernest needs to earn on the next test to have a mean of 90? 84 83 98
100
EXAMPLE 4

9. The accompanying box-and-whisker plot represents the cost, in dollars, of twelve CD’s.
EXAMPLE 5
Which cost is the upper quartile?
What is the range of the costs of the CD’s?
What is the median?

10. Review of Histograms

11. This histogram shows the heights of students in math class.
EXAMPLE 6
Height (cm)
What is the total number of students in the class? 15 16
209 5

12. This histogram shows the heights of students in math class.
EXAMPLE 6
Height (cm)
In what interval is the median height?

13. Conclusion
Statistics offers tools to help us organize and interpret data.

14. Assignments
Complete the attached exercises to apply the statistics concepts and skills you have learned.