Download -Put sheets of graph paper in when needed

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: Stateditenter data.
2. To clear a list: highlight list name, hit clear and down arrow.
3. To sort: StatsortA(L1)
4. Mean: 2nd StatMathmean(L1)
5. Median: 2nd StatMathmedian(L1)
6. Sum: 2nd StatMathsum(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.