Date : October 16, 1997 (Thursday)
Time: 11:00-11:50
Place: SS. 136
Examination Type: Closed notes and books. But you will be allowed to use one sheet of paper (information sheet) with the formulas and facts that you need (This sheet should not have solutions of problems or examples)
Coverage: Chapter 1-3 (included)
The important topics that you should know for the exam.
Chp. 1 Statistics |
1.1 & 1.2. Definition of statistics & Types of Statistical Applications |
descriptive and inferential statistics |
1.3. Elements of Statistics |
population |
variable |
sample |
statistical inference |
reliability of the inference |
1.4. Types of Data |
Qualitative, Quantitative; nominal, ordinal, interval, ratio data |
1.5. Collecting Data |
Chp. 2 Descriptive Statistics |
2.1. Describing Qualitative Data |
2.2. Graphical methods for quantitative data |
Stem-and-leaf displays and its interpretation |
Histograms and its interpretation |
2.3 & 2.4 Measures of Central Tendency |
sample mean () and population mean (m) |
How to find mean |
How to find median (position and depth of the median) |
How to find mode (unimodal, bimodal, multimodal). |
2.5. Measures of variability |
Why do we need a measure of dispersion? |
sample range |
sample mean absolute deviation |
sample variance |
sample standard deviation( why do we need sample standard deviation?) |
2.6. Interpreting and Understanding standard deviation |
Chebyshev's Theorem (for all distributions) |
Emprical Rule (for normally distributed data) |
(Given mean and standard deviation find the proportion of observations between two values, find the limits given the percentages) |
2.7. Measures of relative standing (position) |
Percentiles & Quartiles |
z-scores (how to find z-scores, use of z-scores, interpretation of z-scores) |
2.8. Boxplots |
IQR= QU-QL |
Construction of the boxplots by using lowest value, lower quartile, median, upper quartile, highest value |
Interpretation of single and side-by-side boxplots |
Chp. 3 Probability |
3.1. Elements of Probability |
experiment, simple evevnt, sample space, event |
steps for calculating event probabilities |
3.2 & 3.4. Compound events |
unions and intersections |
3.3. Complementary events (How to find the probability of a complement of an event) |
3.5. Conditional probability & the Bayes rule |
3.6. Probabilties of Unions and intersections |
additive rule |
multiplicative rule |
mutually exclusive events & independent events (showing whether two events are mutually exclusive or independent and given mutually exclusiveness and independents finding compound event probabilities |
3.7. Probability and statistics |
3.8. Random Sampling |
HW.3 Due on Tuesday
3.43, 3.51, 3.58, 3.62, 3.96, 3.110, 3.112, 3.118