1 / 11

Section 1.2 Part 1

Section 1.2 Part 1. AP Statistics September 9, 2008 CASA. Describing Distributions with Numbers: Center/Mean. The Mean The Average The Arithmetical Mean The mean is not a resistance measure of center. Describing Distributions with Numbers: Center/Median.

evan
Télécharger la présentation

Section 1.2 Part 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 1.2Part 1 AP Statistics September 9, 2008 CASA

  2. Describing Distributions with Numbers: Center/Mean • The Mean • The Average • The Arithmetical Mean • The mean is not a resistance measure of center AP Statistics, Section 1.2, Part 1

  3. Describing Distributions with Numbers: Center/Median • When numbers are ordered from low to high, the median is the middle number (if n is odd) or the average of the two middle numbers (if n is even) • Resistant measure of center AP Statistics, Section 1.2, Part 1

  4. Describing Distributions with Numbers: Spread/IQR • The first quartile (Q1) is the median of the first half of the distribution • The third quartile (Q3) is the median of the second half of the distribution • The interquartile range (IQR) is the distance between the first and third quartiles. (IQR = Q3 – Q1) AP Statistics, Section 1.2, Part 1

  5. Finding M, Q1,Q3,IQR • Barry Bonds’ home run counts per season (average=35.4):16, 19, 24, 25, 25, 33, 33, 34, 34, 37, 37, 40, 42, 46, 49, 73 • Hank Aaron’s home run counts per season (average=34.9):13, 20, 24, 26, 27, 29, 30, 32, 34, 34, 38, 39, 39, 40, 40, 44, 44, 44, 44, 45, 47 AP Statistics, Section 1.2, Part 1

  6. Finding M, Q1,Q3,IQR • Barry Bonds: Q1=25,M=34, Q3=41,IQR=16 • Hank Aaron: Q1=28,M=38, Q3=44,IQR=16 • What does this say about comparing Bonds and Aaron? AP Statistics, Section 1.2, Part 1

  7. Describing Distributions with Numbers: Outliers • If a data point is greater than Q3 +1.5 * IQR • or • If a data point is less than Q1 - 1.5 * IQR . • Barry Bonds: M=34, Q1=25,Q3=41,IQR=16 • 41 + 1.5 * 16 = 65 (anything above 65) • 25 - 1.5 * 16 = 1 (anything below 1) AP Statistics, Section 1.2, Part 1

  8. Describing Distributions with Numbers: 5 Number Summary • We can summarize a distribution (a data set) with 5 numbers • Minimum • Q1 • Median • Q3 • Maximum AP Statistics, Section 1.2, Part 1

  9. Boxplot AP Statistics, Section 1.2, Part 1

  10. Modified Boxplot AP Statistics, Section 1.2, Part 1

  11. Assignment • Exercises 1.31 – 1.39, The Practice of Statistics. AP Statistics, Section 1.2, Part 1

More Related