Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Name:________________________ Algebra 2 Unit 6 Notebook Guide Unit Topic: Statistics (Chapter 11) and Probability (Chapter 10) Date Lesson Textbook Section Homework Assignment / 1. Measures of Central Tendency and Dispersion 11.1 HW #1 (p. 747) 3, 5, 13, 15, 19, 21, 27, 29, [25, 31] / 2. Apply Transformations to Data 11.2 HW #2 (p. 753) 5, 7, 11, 15, 19, 25, [17] / 3. Use Normal Distributions 11.3 HW #3 (p. 760) 5, 7, 9, 10, 12, 14, 19, 25, 27, 31, 33, [36] / 4. Apply the Counting Principle and Permutations 10.1 HW #4 (p. 686) 3, 9, 13, 15, 25, 27, 35, 47, 49, 59 / 5. Use Combinations and the Binomial Theorem 10.2 HW #5 (p. 694) 7, 9, 13, 17, 29, 31, 33, 39 / 6. Define and Use Probability 10.3 HW #6 (p. 701) 5, 7, 9, 11, 13, 15, 17, 21, 23, 29, 31 / 7. Unit 6 Review / 8. Problem Solving / 9. Unit 6 Test Unit 6 Review 11.1-11.3 and 10.1-10.3 Problem Solving (p. 756) 5 (p. 782) 3 (p. 705) 1, 8 - Note: Please label your homework assignment as shown above along with your name. Grade Tracking Homework Quiz #1 /6 Homework Quiz #2 /6 Homework Quiz #3 /6 Problem Solving /12 Unit Test /100 Points Earned /130 Unit Average (w/o bumps) ______ Homework Bumps ______ Unit Average (w/ bumps) ______ Prior Unit Averages _____________________ Cumulative Average ______ IXL Assignments: CC.4 and DD.2 are mandatory. Practice any other skills in sections CC or DD as needed. Algebra 2 Concepts - Unit 6 (textbook sections 11.1 – 11.3 and 10.1 – 10.3) Statistics are numerical values used to summarize and compare sets of data. Two important types of statistics are measures of central tendency and measures of dispersion. A measure of central tendency is a number used to represent the center or middle of a set of data values. The mean, median, and mode are three commonly used measures of central tendency. A measure of dispersion is a statistic that tells you how dispersed, or spread out, data values are. One simple measure of dispersion is the range, which is the difference between the greatest and least data values. Another measure of dispersion is the standard deviation, which describes the typical difference, or deviation, between a data value and the mean. A normal distribution is modeled by a bell-shaped curve called a normal curve that is symmetric about the mean. The total area under the curve is 1, or 100%. About 68% of the area lies within one standard deviation of the mean, about 95% of the area lies within two standard deviations of the mean, and about 99.7% of the area lies within three standard deviations of the mean. The standard normal distribution is the normal distribution with a mean of 0 and a standard deviation of 1. Given a data value from a normal distribution, you can calculate its standard score, or z-score, by subtracting the mean from the given value and then dividing by the standard deviation. Therefore, a z-score tells you the number of standard deviations a data value lies above or below the mean. Permutations and combinations are ways of arranging objects and grouping objects, respectively. A permutation is an arrangement of some or all of a set of objects into a specific order. For example, the letters in CAT can be arranged six different ways using two letters: CA, CT, AC, AT, TC, and TA. The arrangements CA and AC contain the same letters, but because the order is different, they count as two permutations. A combination is a group of some or all of a set of objects where order does not matter. For example, the letters in CAT can be grouped three different ways using two letters: CA, CT, and AT. The groups CA and AC contain the same letters, and because order does not matter, they count as only one combination. Given an experiment with a number of outcomes, probabilities and odds are measures of the likelihood of specific outcomes occurring. The probability of an event is a fraction between zero and one, specifically the number of desired outcomes out of all possible outcomes. For example, the probability of drawing a face card from a deck of cards is 12 out of 52, which simplifies to 3/13 or about 23.1%. The odds in favor of an event is the ratio of the desired outcomes to the undesired outcomes. Thus the odds in favor of selecting a face card are 12 to 40, which simplifies to 3 to 10. The odds against selecting a face card would simply be the same numbers in reverse order, 10 to 3.