Download MDM 4U1 Data Management Exam Review

Name: __________________________
MDM 4U1 Data Management Exam Review
Details
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Monday, January 26, 2015
8:10 – 10:40 (you may leave at 9:40)
Room 209
Bring pencil, eraser, straight edge and scientific calculator
Chapters 1-4
40 multiple choice and 8 open response questions (choice for each)
Formula sheet and z-score table provided
To prepare:
 Read through course notes and summaries
 Complete the Practice Problems in this package
 Review assignments and unit tests
Practice problems
Chapter 4
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page 268 #2, 3, 5, 6, 7, 10, 11
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p. 270 #2, 4-7
Chapter 1
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page 68 #4, 9
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page 71 #3 (median-median line), 4, 5, 9ace
Chapter 2
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page 136 #1ad, 2, 3, 4, 6
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page 138 #2, 4
Chapter 3
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page 199 #1, 2, 4-6
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page 200 #2-5
Name: __________________________
Items to focus on
Chapter 4 – Introduction to Probability
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Simulations, Experimental Probability
Discrete random variable
Fair game, trial
Theoretical probability
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Venn diagram (sample space, event space, complementary events, simple
event, compound event, probability of a complementary event)
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Intersection of sets (AND), union of sets (OR)
Disjoint sets / Mutually exclusive events
Additive principle for union of two sets (subtract overcounting)
Additive principle for probabilities
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Conditional probability (keyword: given)
Multiplication law for conditional probability
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Probability using tree diagrams and outcome tables
Multiplicative principle for counting ordered pairs, triplets, etc.
Independent and dependent events
Multiplicative principle for probabilities of independent events
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Factorial notation (n!)
Unique objects: Permutations (order matters) / Combinations (order doesn’t
matter)
Permutations when some objects are identical
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Unit 1 – The Power of Information
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Data, population, sample, census
Frequency, frequency tables, class intervals
Stem-and-leaf plot
Bar graph versus histogram
Circle graph, central angle
Broken line graph
Split-bar graphs, double bar graphs
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Scatter plots, independent versus dependent variables
Line of best fit, trends, correlation (+ or -, strength)
Median-median line
Name: __________________________
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Coefficient of determination, R2: Between 0 and 1; The % change in y due to
change in x
Correlation coefficient, R: Between -1 and +1; -1 is perfect negative
correlation, +1 is a perfect positive correlation
Residuals, Residual plot
Misleading / misrepresented statistics
 Changing the scale
 Too small a sample
Unit 2 – In Search of Good Data
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Variables
Inference
Cross-sectional vs. longitudinal studies
Time series data
Qualitative versus quantitative variables
Discrete versus continuous data
Types of sampling: simple random sampling, systematic random sampling,
stratified random sampling, cluster random sampling, multi-stage random
sampling, destructive sampling, convenience sampling
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Bias and how to avoid it
Types of bias: sampling, non-response, household, response
Chapter 3 – Tools for Analyzing Data
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Creating effective histograms
Bin width
Distributions (u-shaped, uniform, mound-shaped, left/right skewed)
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Measures of Central Tendency: Mean (regular, weighted, grouped), Median,
Mode and when to use them
Outliers
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Spread - Range, IQR, variance, standard deviation (for regular and grouped
data)
Normal Distribution (shape, mean and standard deviation, 68-95-99.7 rule)
Standard normal distribution
Z-Scores (% above / below, percentiles, ranges)
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Indices (BMI, slugging percentage, CPI)
Moving averages