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 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
Calculate the 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 (be able to use the "short-cut" formula)
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 ___ (1, 2, or 3) 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 ___ (1, 2, or 3) 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.
11. Given the mean and
standard deviation of a data set, what does Chebyshev’s
theorem guarantee about the % of data between two given values (not
exactly 1, 2, or 3 standard deviations away from the mean)?
Return to: Merced College; Don Power
Updated 09/08/09 by Don Power