CHAPTER
2: Describing distributions with numbers
SKILLS
&
KNOWLEDGE
in Chapter 2

|
Chapter 2. After reading this chapter
make sure you know how to:
- Calculate
and interpret the values of mean, median, quartiles, five summary
number, standard deviation,
- Draw a
boxplot & are able to compare several data sets in terms of center
and spread by looking at the side by side boxplots.
- Decide if
an observation is an outlier using the 1.5 IQR rule
- Relate the
skweness of the distribution to the relative position of mean and
median
- Relate
standard deviation with a histogram
Also you should
be aware of how extreme observations affect numerical summaries
|
HOMEWORK
Chapter 2
|
We recommend you practice with
exercises:
2.1,2.2,2.3,2.6,2.7,,2.8,2.13,2.16,2.24,2.29
Your
instructor might assign
specific
homework to be graded. |

In the
classroom
|
These
are activities/worksheets that can be worked in the classroom.
They do not require the use of computers.
1)
doctors (5-number summaries, stemplots,
histograms, mean, outliers; with emphasis in interpretations)
2) Softdrinks Version
1. (stem-and-leaf displays )
3)
Softdrinks Version
2. (stem-and-leaf displays, median, quartiles and boxplots)
4) Income
of CEOs A worksheet to practice calculating by hand basic
statistics and
interpreting
them :
5)Gasoline
use by stateInterpreting
computer output with graphs
and basic statistics
|
IN THE LAB
Chapter 2
|
Ideas that can be
used in the STAT CAVE for Summarizing distributions with numbers
1)Lab Big Toe .-
This lab reviews topics of Chapters 1 and 2.
2)Lab Infant Mortality The objective
of this Lab is to interpret the shape of histograms, interpret side by
side boxplots, calculate and interpret basic statistics. It
reviews topics from Chapters 1 and 2. It uses Rouncefield's
poverty data (Variables in
this data set are
birth
rate, death rate, infant mortality rate, life expectancy for males and
females, gross national product for each one of 97
countries)
Minitab:
poverty.mtw
3) Lab SAT scores
(Statistics and graphs for
quantitative variables) SAT scores for 50 States and
DC
(Moore's Basic Practice of Statistics) (Variables
are SAT Math and Verbal average scores, % of high school
seniors
taking the SAT, etc.) Minitab:
SAT.mtw
4) Lab
Baseball A short Lab with the baseball players
salaries (histogram, median, mean, side by side boxplots)
5) Work exercises 2.38 or 2.39 in the book. For data
files click here Oldfaithful
, Calories
or look for them in the CD that comes with the
book.(BPS-student>EESEE>data files >(name)> mtw)
5) Using applets from the CD (just use Explore and click
on the applet)
The applet in :\BPS -
Student\BPS3e\content\applets\meanmedian.html allows you to place
points (data) where ever you want, shows the dotplot and locates the
mean and the median. Useful to explore the relationship among mean ,
median and the skewness of the distribution.
|
In the real world
|
1)
Olympic files : data files with
results from the 2004 Olympic games prepared by Susan Hosler .
Different strokes
for different folks: Finish times for swimmers competing in
various distance final events. Side-by-side boxplots make a nice
display.
Women's 100m Back, Breast, Butterfly & Freestyle
OlymF100_Swim.mtw
Women's 200m
Back, Breast, Butterfly, Freestyle & Medley
OlymF200_Swim.mtw
Men's 100m Back,
Breast ,Butterfly &
Freestyle
OlymM100_Swim.mtw
Men's 200m
Back, Breast, Butterfly, Breestyle &
Medley OlymM200_Swim.mtw
Smells like Team
Spirit:
Compare the finish times of individuals versus versus teams for the
800meter women's swimming events. OlymF800_Swim.mtw
Beam me up Scottie: Compare
scores earned by symnasts cometing in the All-around events on
different apparati. Which apparatus gives the most difficulty to each
gender? OlymGymnast.mtw
|
2)Look at exercises 2.33. Data of the census can
be
found at http://www.census.gov
Interesting data originally published by the United Nations can be
found in Minitab: poverty.mtw
. Source: Rouncefield,
M. (1995) The Statistics of Poverty and Inequality . Journal
of
Statistics Education v.3, n.2 (1995)
(birth rate, death rate,
infant mortality rate, life
expectancy
for males and females, gross national product for 97 conutries in 1990)
|
|