Download Algebra 2 Unit 6 Notebook Guide

Name:________________________
Algebra 2
Unit 6
Notebook Guide
Unit Topic: Statistics (Chapter 11) and Probability (Chapter 10)
Date
Lesson
Textbook Section Homework Assignment
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1. Measures of Central Tendency and Dispersion 11.1 HW #1 (p. 747) 3, 5, 13, 15, 19, 21, 27, 29, [25, 31]
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2. Apply Transformations to Data
11.2 HW #2 (p. 753) 5, 7, 11, 15, 19, 25, [17]
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3. Use Normal Distributions
11.3 HW #3 (p. 760) 5, 7, 9, 10, 12, 14, 19, 25, 27, 31, 33, [36]
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4. Apply the Counting Principle and Permutations 10.1 HW #4 (p. 686) 3, 9, 13, 15, 25, 27, 35, 47, 49, 59
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5. Use Combinations and the Binomial Theorem
10.2 HW #5 (p. 694) 7, 9, 13, 17, 29, 31, 33, 39
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6. Define and Use Probability
10.3 HW #6 (p. 701) 5, 7, 9, 11, 13, 15, 17, 21, 23, 29, 31
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7. Unit 6 Review
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8. Problem Solving
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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
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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
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Unit Average (w/ bumps)
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Prior Unit Averages
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Cumulative Average
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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.