1. Statistics and Data (Algebraic)
4/6/2017 8:43 PM
Precalculus
Lesson
9.7
Statistics and Data
(Algebraic)
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2. Quick Review

3. What you’ll learn about
Parameters and Statistics
Mean, Median, and Mode
The Five-Number Summary
Boxplots
Variance and Standard Deviation
Normal Distributions
… and why
The language of statistics is becoming more commonplace in our everyday world.

4. Mean

5. Median The median of a list of n numbers {x1,x2,…,xn}
arranged in order (either ascending or
descending) is
the middle number if n is odd, and
the mean of the two middle numbers if n is even.

6. Mode
The mode of a list of numbers is the number that appears most frequently in the list.

7. Example Finding Mean, Median, and Mode
Find the (a) mean, (b) median, and (c) mode of the data:
3, 6, 5, 7, 8, 10, 6, 2, 4, 6

8. Weighted Mean

9. Five-Number Summary

10. Boxplot

11. Outlier A number in a data set can be considered an
outlier if it is more than 1.5×IQR below the first
quartile or above the third quartile.

12. Standard Deviation

13. Normal Curve

14. The Rule
If the data for a population are normally distributed with
mean μ and standard deviation σ, then
Approximately 68% of the data lie between μ - 1σ and μ + 1σ.
Approximately 95% of the data lie between μ - 2σ and μ + 2σ.
Approximately 99.7% of the data lie between μ - 3σ and μ + 3σ.

15. The Rule

16. Homework:
Text pg783/784
Exercises #2-26
(intervals of 4)