MA145-B Exam 1 Skill Inventory

Chapter 1 - Collecting Data

You should be able to recognize the definitions of the following terms:

Term	Reference in Text (Sullivan)
statistics	p.2
descriptive statistics	p.2
inferential statistics	p.2
placebo	p.3
experimental group	p.3
control group	p.3
double-blind	p.3
qualitative variable	p.4
quantitative variable	p.4
discrete variable	p.5
continuous variable	p.5
census	p.9
observational study	p.10
designed experiment	p.10, p.31
experimental unit	p.10
response variable	p.10
lurking variable	p.11
simple random sample	p.12
frame	p.13
stratified sample	p.19
systematic sample	p.20
cluster sample	p.21
convenience sample	p.22
nonsampling errors	p.26
sampling errors	p.26
completely randomized design	p.34
matched pairs design	p.34

In addition, you should be able to:

Given a description, determine whether a variable is qualitative or quantitative
Given a description, determine whether an experimental design is a completely randomized design or a matched pairs design
Given a description, determine whether a sample is a simple random, stratified, systematic, cluster, or convenience sample.
Given a description, identify the response variable and predictor variables in an experiment.

Chapter 2 - Organizing and Summarizing Data

You should be able to recognize the definitions of the following terms:

Term	Reference in Text (Sullivan)
frequency distribution	p.40
relative frequency	p.41
relative frequency distribution	p.41
bar graph	p.43
pareto chart	p.44
side-by-side bar graph	p.45
pie chart	p.46
histogram	p.56
stem-and-leaf plot	p.60
uniform distribution	p.63
bell-shaped distribution	p.63
skewed right	p.63
skewed left	p.63
time series plot	p.64

In addition, you should be able to:

Distinguish between a frequency table and a relative frequency table
Distinguish between a frequency bar graph, a relative frequency bar graph, and a pie chart
Draw a simple stem-and-leaf plot from data.
Be able to distinguish a histogram from a bar graph.
Given a histogram, categorize a distribution as bell-shaped, skewed left, or skewed right.

Chapter 3 - Numerically Summarizing Data

You should be able to recognize the definitions of the following terms:

Term	Reference in Text (Sullivan)
parameter	p.84
statistic	p.84
population (arithmetic) mean	p.85
sample (arithmetic) mean	p.85
median	p.87
mode	p.89
measure of central tendency	p.84
measure of dispersion	p.100
the range	p.101
population variance	p.102
sample variance	p.102
population standard deviation	p.105
sample standard deviation	p.105
the empirical rule	p.107
measure of position	p.122
population Z-score	p.122
sample Z-score	p.122
percentile	p.123
quartiles	p.125
interquartile range	p.127
outlier	p.127
lower fence	p.133
upper fence	p.133
exploratory data analysis	p.132
five number summary	p.132
box plot	p.133

In addition, you should be able to:

Distinguish between a frequency table and a relative frequency table
Distinguish between a frequency bar graph, a relative frequency bar graph, and a pie chart
Draw a simple stem-and-leaf plot from data.
Be able to distinguish a histogram from a bar graph.
Given a histogram, categorize a distribution as bell-shaped, skewed left, or skewed right.
Determine percentiles, including quartiles and the median, from the output of a spreadsheet Rank and Percentile listing (you do not need to memorize the formulas for percentiles given in the text).
Given a small (<10 values) group of data values or a frequency bar graph, determine the mode.
Determine the interquartile range given either the values of the first and third quartiles, or use the output of a Rank and Percentile listing from a spreadsheet that contains the information needed to determine the first and third quartiles.
Recall which measures of central tendency and dispersion are considered resistant to extreme values and which are not.
Calculate a Z-score given a data value, the mean, and the standard deviation (you can assume the arithmetic will not require a calculator).
Determine the Five Number Summary given a set of descriptive statistics containing the minimum, first quartile, median, third quartile, and maximum values in the data, or from a Rank and Percentile listing from a spreadsheet that contains these values.
Determine the upper and lower fence values given enough information to determine the first and third quartiles (the computations will not require a calculator).
Be able to draw a box plot given the required information.
Determine whether a distribution is symmetric, skewed left, or skewed right using a box plot.

In general, you do not have to memorize formulas (for the mean, variance, standard deviation, percentile, etc.). You should be able to determine percentiles, including the median and quartiles, from the Rank and Percentile output of a spreadsheet program. You should be able to determine the maximum and minimum values from the Rank and Percentile output as well.