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MATH 125Q
Test 1
| Question | Answer |
|---|---|
| Population | the entire group you want info about |
| Sample | a subset of the population used to collect data |
| Parameter | numerical value describing a population |
| Statistic | numerical value describing a sample |
| Quantitative | numerical data - can associate with interval/ratio (ex: height, age, test scores) |
| Qualitative | describes qualities - can associate with ordinal/nominal (ex: eye color, name, major) |
| Discrete | counted values - no decimals (ex: # of students, cars) |
| Continuous | measured values - decimals (ex: weight, time) |
| Nominal | names only, no order (ex: eye color, gender) |
| Ordinal | order matters, no equal spacing (class year, rankings) |
| Interval | equal intervals, no true zero (temperature) |
| Ratio | equal intervals, true zero (height, weight, age) |
| Simple Random Sample | each individual has an equal chance of selection |
| Stratified Sample | the population is divided into groups based on a shared characteristic -> then a random sample is taken from each group |
| Cluster Sample | population is divided into clusters and entire clusters are randomly selected |
| Systematic Sample | individuals are selected at a regular interval |
| Convenience Sample | participants are chosen because they are easy to reach |
| Class Limits | smallest and largest values in a class |
| Class Boundaries | values that separate classes |
| Midpoints | middle of each class |
| Relative Frequency | proportion of total |
| Cumulative Frequency | running total of frequencies |
| Mean | average |
| Median | middle value |
| Mode | most frequent value |
| Range | max minus min |
| Quartiles | Q1, Q2/Median, Q3 |
| Inter Quartile Range | Q3 minus Q1 |
| Outliers | plus or minus 3 standard deviations |
| Lower Fence of Outliers | Q1 - 1.5 (skewed left) |
| Upper Fence of Outliers | Q3 +1.5 (skewed right) |
| Standard (z) Scores | shows how far a value is from the mean |
| Positive z Score | above the mean |
| Negative z Score | below the mean |
| Addition Rule | P(A and B) = P(A) + P(B) - P(A and B) |
| Multiplication Rule | P(A and B) = P(A) x P(B) |
| Fundamental Counting Principle | (!) - multiply choices together |
| Permutations | order matters |
| Combinations | order does not matter |