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Unit 8: Inferences and Conclusions from Data End Checkpoint Apply
Unit 8: End Checkpoint Apply
Interactive Tools
Unit 8: Inferences and Conclusions from Data End Checkpoint Apply
Lessons 3-5
Algebra 2
Please complete the following questions. It is important that you show all work you did to solve the
problems when you submit your work. This includes any calculations, diagrams, or graphs that
helped you solve it.
1. OPEN ENDED Sketch a positively skewed graph. Describe a situation in which you would expect
data to be distributed this way.
2. Writing in Math Use the information on page 737 to explain what statistics a teacher should tell
the class after a test. Include the mean, median, and mode of the given data set and which
measure of central tendency you think best represents the test scores and why. How will the measures of central tendency be
affected if Mr. Dent adds 5 points to each score?
3. Writing in Math Use the information on page 762 to explain how surveys are used in marketing. Find the margin of error for
those who spend $249 or less if 807 mothers were surveyed. Explain what this margin of error means.
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Lessons 12.1 through 12.5
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American
High School
736 – 737 / 1100
A bag contains colored marbles as shown in
the table below. Two marbles are drawn at
random from the bag, Find each probability.
flesson 12-0
GET READY for the Lessop
100%
On Mr. Hent’s mest rexxent Algebra a test, niiden
following scones.
Color Number
rod
yen3
blue 2
Minimize
1. RESTAURANT Al Burger Hut, you can order
your hamburger with or without cheese,
onions, or pickles, and rare, medium, or well-
done. How many different ways can you
order your hamburger? Lesson 12-1)
2. AUTOMOBILES For a particular model of car, a
dealer offers 3 sizes of engines, 2 types of
stereos, 18 body colors, and 7 upholstery
colors. How many different possibilities are
available for that model? Lesson 2.1)
3. CODES I low many codes consisting of a letter
followed by 3 digits can be made if no digit can
be used more than once? Lesson 12-11
4. ROUTES There are 4 different toutes a student
can bike from his house to school. In how
many ways can he make a round trip if he uses
a different roule coming than going? Lesen 12-1)
Main Ideas
• Use measures of
central bandenty to
representa set of
data
Find measures of
variation for a set of
dola
72 70 77 70 90 UB SI S 34 94
71|84|89|67|19|85|75|66|80|94|
New Vocabulary
When his students ask how they did on the test, which measure of
central tendency should Mr. Dent use to describe the scores?
13. Pred, then green) if replacement occurs
14. Pred, then green) if no replacement oxeurs
15. P/2 red) if no replacement occurs
16. P(2 red) if replacement occurs
A twelve-sided die has sides numbered 1
through 12. The die is rolled once. Find each
probability. Lesson 12:41
17. Pf4 or 5)
18. Preven or a multiple of 3)
19. Plodd or a multiple 4)
univariate data
mesure of central
tendency
medure of variation
Cispersion
variante
standard deviation
Evaluate each expression on 12->
5. (12.3)
6. C18,3)
Measures of Central Tendency Data with one variable, such as the test
scores, are called univariate data. Sometimes it is convenient to have one
number that describes a set of data. This number is called a measure of
central tendency, because it represents the center or middle of the data.
The most commonly used measures of central tendency are the mour,
and wide
< Determine whether each situation involves a permutation or a combination. Then find the number of possibilities. Lesson 12-2) 7. 8 cars in a row parked next to a curb 8. a hand of 6 cards from a standard deck of cards When deciding which measure of central tendency to use to representa set of data, look closely at the data itself. CONCEPT SUMMARY Measures of Tendency * 20. MULTIPLE CHOICE In a box of chocolate and yellow cupcakes, the ratio of chocolate cupcakes to yellow cupcakes is 3:2. If the box contains 20 cupcakes, how many of them are chocolate? 125) F9 H11 C D J 12 Study Tip Look Back To review outliers, see Lesson 25 Use When... mean the data are spread out, and you want an average of the values median the data contain outliers mede the data are tightly clustered around one or two values 9. MULTIPLE CHOICE A box contains 10 silver, 9 green, 8 blue, 11 pink, and 12 yellow paper clips. If a paperclip is drawn at random, what is the probability that it is not yellow? Les 12-2) A B C 21. MULTIPLE CHOICE A company received job applications from 2000 people. Six hundred of the applicants had the desired education, 1200 had the desired work experience, and 400 had both the desired education and work experience. What is the probability that an applicant selected at random will have the desired education or work experience? A 10 B EXAMPLE Choose a Measure of Central Tendency SWEEPSTAKES A sweepstakes offers a first prize of $10,000, two second prizes of $100, and one hundred third prizes of $10. Which measure of central tendency best represents the available prizes? Since 100 of the 103 prizes are $10, the mode ($10) best represents the available prizes. Notice that in this case the median is the same as the mode DCHECK Your Progress 1. Which measure of central tendency would the organizers of the sweepstakes be most likely to use in their advertising? Two cards are drawn from a standard deck of cards. Find each probability. (Lesson 12-3) 10. P(2 aces) 11. P(1 heart, 1 club) 12. (1 queen, 1 king) O Type here to search са D 9 A g е سا 9 O 4x 10:09 PM 8/16/2017 1 719 American High School | CC1 CC - Algebra 2 o = 762 intervisualtechnology.us/uploads/PDFs/ebooks/CC%20-%20Algebra%202/CC%20-%20Algebra%202 ULLI SISI SULLULL, I PEILI LILLE PUPLI responding in that same way will be between p-ME and ME, where 762 - 763 / 1100 ME - 2y 701) yes or to and explain your answer. a nen Aling sur ne whose social security ambe Asuh Artic 2. surveying college students in the honors program to determine the aven time students at the college study cach day 100% American High School That is the probability is as that PME will contain the true population results Example 2 Far Exercises 3-5, find the margin of samplir error QDptØ EXAMPLE Find a Margin of Error In a survey of 1000 randomly selected adults, 37% answered "yes" to a particular question. What the margin of error? ME = 2 VAL- Formula for marginal sampling error 7421 3. p = 72, N = 100 4. = 31% = 500 5. In a survey of 360 randomly selected homeowners, 54% stated that they are planning a major home improvement project in the next six months. Example 3 MEDIA For Exercises 6 and 7, use the following information. (p. 742) A survey found that 57% of consumers said they will not have any debt from holiday spending. Suppose the survey had a margin of error of 3%. 6. What does the 3% indicate about the results? 7. How many people were surveyed? P=3705, 1000 0.371 -0.37) 27 1000 = 0.030535 Use a calciator. Exercises The margin of error is about 3%. This means that there is a 95% chance that the percent of people in the whole population who would answer "yes" is between 37 - 3 or 34% and 37 + 3 or 40% CHECK Your Progress 2. In a survey of 625 randomly selected tons, 78% said that they purchase music. What is the margin of error in this survey? HOMEWORK HELP For See Exercises Examples 8-11 1 12-21 2,3 >>
EXAMPLE Analyze a Margin of Error
HEALTH In a recent Gallup Poll, 25% of the people surveyed said they
had smoked cigarettes in the past week. The margin of error was 3%.
How many people were surveyed?
1 –
ME
Formula for margin of sampling emor
Real-World Link
The percent olmers
in the United States
populdion declined
from 37, in 1985
23.3 in 2000. New
Therapies the
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helping here people
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0.251 -0.25)
0.03 = 2
ME-1105, -0.25
Determine whether each situation would produce a random sample. Write
yes or no and explain your answer.
& pointing with your pencil at a class list with your eyes closed as a way to find
a sample of students in your class
9. putting the names of all seniors in a hat, then drawing names from the hat to
select a sample of seniors
10. asking every lwentieth person on a list of registered volers to determine
which political candidate is favored
11. finding the heights of all the boys on the varsity basketball team to determine
the average height of all the boys in your school
For Exercises 12-21, find the margin of sampling error to the nearest percent.
12. p=81%, n = 100 13. p = 16″, 1 = 400 14. = 54%, a = 500
15. -45%, n-1000 16.33″, 12 – 1000 17.7 – 67%-1500
18. A pollasked people to name the most serious problem facing the country
Forty-six percent of the 800 randomly selected people said crime.
19. In a recent survey. 431 full-time employees were asked if the Internet has made
them more or less productive at work. 27% said it made them more productive.
20. Three hundred sixty-seven of 425 high school students said pizza was their
favorite food in the school cafeteria
21. Nine hundred thirty-four of 2150 subscribers to a particular newspaper said
their favorite sport was football.
22. SHOPPING According to a recent poll, 33% of shoppers planned to spend
$1000 or more during a holiday season. The margin of error was 3. How
many people were surveyed?
23. ELECTION PREDICTION One hundred people were asked whether they would
vote for Candidate A or Candidate Bin an upcoming election. How many
said “Candidate A” if the margin of error was 9,6%?
0.015 = V
= 7000225
0.25(0,75)
Divide each side by 2.
0.25(0.75)
0.000225 wa
Soutenach side
0.25(0.751
Multiply by a and divide by 0.000225.
About 833 people were surveyed.
CHECK Your Progress
3. In a recent survey, 15% of the people surveyed said they had missed a
class or a meeting because they overslept. The margin of error was 1%
How many people were surveyed?
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