MATH 10 – STUDY GUIDE FOR TEST ON CH 1, 2, 3
1. Be able to distinguish
Is a given value a
parameter or a statistic?
Is a given number
continuous or discrete?
Which level of
measurement (nominal, ordinal, interval, ratio) is most appropriate?
Is a given study
experimental or observational?
Identify the type of
observational study (prospective, cross-sectional, or retrospective)?
What type of sampling
is used: random, stratified, systematic,
cluster, or convenience?
2. Use critical thinking to identify the problem with a
statistical study
3. Given a frequency
distribution, identify
Identify class
midpoints
Identify class widths
Identify class
boundaries
Construct a histogram
Construct a relative
frequency distribution
Construct a cumulative
frequency distribution
Construct a frequency
polygon
Construct an ogive
Mean of the frequency
distribution
4. Use a given data set to
Construct a dot plot
Construct a stem and
leaf plot
Construct a frequency
distribution
5. Compare and contrast
the mean, median, and mode.
(Advantages and
disadvantages of each)
6. Given a data set,
calculate
Mean
Median and quartiles
Mode
Range
Midrange
Weighted mean (like a
grade point average; if both values and weights are given)
Sample standard
deviation
7. Know the empirical rule
and use it to draw conclusions about a data set.
What does the empirical rule guarantee about the % of data
within ___ standard deviations of the mean?
8. Know Chebyshev's Theorem and use it to draw conclusions about a
data set.
What does Chebyshev’s
theorem guarantee about the % of data within ___ standard deviations of the
mean?
9. Calculate z-score of a
data item if the mean and standard deviation are given
10. Calculate z-scores from
data items in two different data sets, and use the z-scores to compare the
relative positions of the data items.
FOR PREVIOUS TEXTBOOK (NOT APPLICABLE FOR TRIOLA):
Be able to demonstrate the achievements listed in the chapter review.
Some of these call for computation; others might call for short answer
or even essay questions.
Identify definitions of the key terms listed at the end of the chapter
and be able to associate a formula with the correct term.
Specific things you must be able to do:
Given a data set, find/write
Stem and leaf plot
Histogram
Frequency distribution
Percentage
distribution
Ogive
(any of several varieties)
Mean
Median
Quartiles
Mode
Range
Standard deviation
either population or sample
using either the definition or the computing
formula
Variance
Given a frequency distribution, find:
Class marks
Class limits
Class boundaries
Class interval
What does Chebyshev’s theorem guarantee about
the % of data within ___ standard deviations
of the mean?
Per Chebyshev, what interval do we need to
guarantee that we include a specific fraction or
percent (say 3/4 or 75%) of the data?
z-score for a given data point, or data point for a given z-score
Do some basic arithmetic with summations. Example:
calculate 
Return to: Merced College; Don Power
Updated 02/06/08 by Don Power