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AP Statistics Summer Review Packet 2016-2017 Name __________________ Objectives 2016-2017 I. Patterns and Algebra II. Linear Equations (Part VIII #1-5) Data Analysis III. Sampling to generate data and draw conclusions (Part V task) Calculate mean, median, mode, quartiles (Part I #1-4) Probability IV. Dependent and independent events (Part VII #1-5) Discrete Math V. Combinations/Permutations/Fundamental Counting Principle/Replacement (Part VI #1-12) Math Processes VI. Graphical Representation (Part I #1-4/Part II #1,2/Part III #1,2) Technology Graphing Utility Calculations (Part IV #1-5) I. Measures of Central Tendency and Spread Mean = average Median = middle number Mode = most common Range = max – min Exercise Find the mean, median, mode, and range of the test score data set. 15,11,19,15,14,13,17,11,12,15,17,14,15,14 II. Organizing Data Dotplot-data plotted over a single horizontal x axis using dots Bar Graph-uses bars to represent the numerical occurrences of certain outcomes Exercise Construct a dotplot and bar graph for the data. 2,2,2,1,1,3,3,3,5,5,5,1,2,3,4,5,1,1,3,5,4,3,2,3,4,2,1,3,4,3,2 III. Stem and Leaf Plots (Stemplots) Stem and Leaf Plot-2 columns separated by a vertical line, the 1st is the stem, 2nd is leaf, stem is leftmost digits, leaf is rightmost digit Exercise Make stemplot. 15,59,66,42,48,23,70,81,35,51,68,29,77,92,85,16,37,59,61,76,40,25,86,11 IV. Using the TI-83 1. Entering data into a list: Stateditenter data. 2. To clear a list: highlight list name, hit clear and down arrow. 3. To sort: StatsortA(L1) 4. Mean: 2nd StatMathmean(L1) 5. Median: 2nd StatMathmedian(L1) 6. Sum: 2nd StatMathsum(L1) Exercises 1. Enter the data from Part II exercise in a list. 2. Sort and find mode. 3. Find mean. 4. Find median. 5. Find sum. V. Making and Interpreting Scatter Plots Task: Take a survey of 10 people (any age). Ask them two questions to get two quantitative (number) answers. One of the questions will be “How much time (hrs.) on average do you spend outside during a given summer day?” The second question is up to you to create but it must have a numerical answer. After you collect your data you will be making and interpreting a scatterplot. Interpret by explaining what general trend you see between the two variables. (As one increases the other ?) Example: *Each dot represents an ordered pair, ex. (32,33) VI. Combinations and Permutations Use http://www.basic-mathematics.com/fundamental-counting-principle.html and http://www.mathsisfun.com/combinatorics/combinations-permutations.html to help. Exercises 1. If a sandwich shop has 3 types of meat, 4 breads, and 3 cheeses, how many types of sandwiches can you create if you must have 1 of each? 2. How many ways can you hang 3 pictures in a row on the wall? 3. If there is a family of 4, how many gender arrangements are possible? 4. How many ways can we pick a 7 letter word from the word PIRATES? 5. How many ways can we pick 3 different officers from a club of 20? 6. How many ways can we select 3 people from a group of 20? 7. How many ways can we pick 4 winners for 8 prizes if the prizes are the same? VII. Basic Probability *Hints: use fractions, “or” means add Use http://www.stats.gla.ac.uk/steps/glossary/probability.html#addrule to read about independent events and the addition/multiplication rules Exercises 1. A ten sided die is rolled. Find each probability. a. P(odd or greater than 4) = b. P(less than 3 or greater than 2) = 2. A coin is tossed 1000 times. What is the probability that the 785th toss is heads? 3. Suppose you roll a 6 sided die. a. P(3 or 6) = b. P(not a 2) = c. P(even number) = 4. You draw a card from a deck. a. P(ace of spades) = b. P(spade) = c. P(ace or spade) = VIII. Formulas Solve each formula for the given variable. Hint: Get variables by themselves using inverse order of operations. 1. ad = f ; a 5. Use A = 2h(l + w) A = 144cm2 l = 7cm w = 5cm Find h. 2. 2(j + k) = m ; k 3. 2 x ;w w 5 4. y mx b ; x Hint: Substitute in givens and find missing variable.