Advanced Math TopicsAdvanced Math Topics

Chapter 2 Review OlympicsChapter 2 Review Olympics

Terms to KnowTerms to Know

Random Samples- A group that represents the entire population fairly

Frequency Distribution- Ordering data into intervals and their corresponding freq.

Relative Frequency- Frequency of that interval divided by the total frequency

Interval width- Subtract the smallest value from the largest & divide by the # of intervals

Histogram- A bar graph where the bars are touching(horizontal=intervals vert. = freq.

Normal Distribution- Bell shaped curve where most data points are centered

Cumulative Frequency Polygon- Line graph that answers the question “How manyare less than or equal to a certain number?”

Cumulative Frequency-The freq. of that interval plus the freq. of all lesser intervals

Central angle of a pie chart- Relative frequency of that category x 360

Truncated graphs- Misleading because of the inconsistent scale

Stem-and-Leaf Plot- Line up the stems, find a stem for each leaf, be organized

Index Number-(Given year/base year) x 100

Take a look at the back wall to see your row Take a look at the back wall to see your row #.#.

World PopulationWorld PopulationContinentContinent Population Population

(millions)(millions)

AfricaAfrica 513513

AsiaAsia 27302730

EuropeEurope 489489

South South AmericaAmerica

390390

North North AmericaAmerica

429429

AntarcticaAntarctica 2424

AustraliaAustralia 272272

1) Find the relative frequency of a) Asia and b) Antarctica to the nearest %.

World PopulationWorld PopulationContinentContinent Population Population

(millions)(millions)

AfricaAfrica 513513

AsiaAsia 27302730

EuropeEurope 489489

South South AmericaAmerica

390390

North North AmericaAmerica

429429

AntarcticaAntarctica 2424

AustraliaAustralia 272272

2) If you were making a pie chart of the data, find the central angle, to the nearest degree, of a) North America and b) Australia.

Number of Rooms Rented Daily at Number of Rooms Rented Daily at the Courtyard by Marriottthe Courtyard by Marriott

IntervalInterval FrequencyFrequency

50-5950-59 1717

60-6960-69 1212

70-7970-79 99

80-8980-89 2222

90-9990-99 2525

100-109100-109 1313

3) Find the cumulative frequency of the interval a) 70-79 and the interval b) 90-99.

Number of Rooms Rented Daily at Number of Rooms Rented Daily at the Courtyard by Marriottthe Courtyard by Marriott

IntervalInterval FrequencyFrequency

50-5950-59 1717

60-6960-69 1212

70-7970-79 99

80-8980-89 2222

90-9990-99 2525

100-109100-109 1313

4) Find the relative frequency of the interval 80-99.

Cost of a Car Stereo InstallationCost of a Car Stereo Installation5) Fill in the missing frequencies.IntervalInterval FrequencyFrequency Cumulative Cumulative

Freq.Freq.

150-159150-159 44

160-169160-169 88

170-179170-179 1717

180-189180-189 3131

190-199190-199 4040

200-209200-209 5050

Average Cost of a Six Month Car Average Cost of a Six Month Car Insurance Plan from ProgressiveInsurance Plan from Progressive

6) Find the index number for a) 2001 and b) 2004 using 1999 as your base year to the nearesthundredth.

YearYear Average Average CostCost

19991999 $341$341

20002000 363363

20012001 387387

20022002 399399

20032003 407407

20042004 419419

Average Cost of a Six Month Car Average Cost of a Six Month Car Insurance Plan from ProgressiveInsurance Plan from Progressive

7) Find the % of change from 2001 to 2004to the nearest hundredth of a percent.

YearYear Average Average CostCost

19991999 $341$341

20002000 363363

20012001 387387

20022002 399399

20032003 407407

20042004 419419

Average Cost of a Six Month Car Average Cost of a Six Month Car Insurance Plan from ProgressiveInsurance Plan from Progressive

8) You are planning to create a freq. distribution using 12 intervals. List out the intervals.

3232 3434 4141 4646 6161 5959

3737 5555 1616 1414 5252 6161

3939 4747 5252 1818 2828 2626

4343 4747 5959 1919 3333 4444

5656 4343 2727 3939 4141 4747

Cell Phone & Home Phone Cell Phone & Home Phone ProvidersProviders9) You are constructing a pie chart of the data. What would the central angle be, to the nearest degree, for both AT&T Home and Cell Phone users combined?

PhonePhoneCompanyCompany

San San Ramon Ramon CustomersCustomers

VerizonVerizon 4,3444,344

CingularCingular 3,3573,357

SprintSprint 3,8903,890

AT&T AT&T HomeHome

12,15112,151

AT&T AT&T CellCell

754754

Odd rows trade with the group behind you, Odd rows trade with the group behind you, even rows trade with the group in front of even rows trade with the group in front of you.you.

World PopulationWorld PopulationContinentContinent Population Population

(millions)(millions)

AfricaAfrica 513513

AsiaAsia 27302730

EuropeEurope 489489

South South AmericaAmerica

390390

North North AmericaAmerica

429429

AntarcticaAntarctica 2424

AustraliaAustralia 272272

1) Find the relative frequency of a) Asia and b) Antarctica to the nearest %.

a) 56% and b) 0%

World PopulationWorld PopulationContinentContinent Population Population

(millions)(millions)

AfricaAfrica 513513

AsiaAsia 27302730

EuropeEurope 489489

South South AmericaAmerica

390390

North North AmericaAmerica

429429

AntarcticaAntarctica 2424

AustraliaAustralia 272272

2) If you were making a pie chart of the data, find the central angle, to the nearest degree, of a) North America and b) Australia.

a) 32 degrees and b) 20 degrees

Number of Rooms Rented Daily at Number of Rooms Rented Daily at the Courtyard by Marriottthe Courtyard by Marriott

IntervalInterval FrequencyFrequency

50-5950-59 1717

60-6960-69 1212

70-7970-79 99

80-8980-89 2222

90-9990-99 2525

100-109100-109 1313

3) Find the cumulative frequency of the interval a) 70-79 and the interval b) 90-99.

a) 38 and b) 85

Number of Rooms Rented Daily at Number of Rooms Rented Daily at the Courtyard by Marriottthe Courtyard by Marriott

IntervalInterval FrequencyFrequency

50-5950-59 1717

60-6960-69 1212

70-7970-79 99

80-8980-89 2222

90-9990-99 2525

100-109100-109 1313

4) Find the relative frequency of the interval 80-99.

47/98 = .48 = 48%

Cost of a Car Stereo InstallationCost of a Car Stereo Installation5) Fill in the missing frequencies.IntervalInterval FrequencyFrequency Cumulative Cumulative

Freq.Freq.

150-159150-159 44

160-169160-169 88

170-179170-179 1717

180-189180-189 3131

190-199190-199 4040

200-209200-209 5050

4

4

9

14

9

10

Average Cost of a Six Month Car Average Cost of a Six Month Car Insurance Plan from ProgressiveInsurance Plan from Progressive

6) Find the index number for a) 2001 and b) 2004 using 1999 as your base year to the nearesthundredth.

YearYear Average Average CostCost

19991999 $341$341

20002000 363363

20012001 387387

20022002 399399

20032003 407407

20042004 419419

a) 113.49 and b) 122.87

Average Cost of a Six Month Car Average Cost of a Six Month Car Insurance Plan from ProgressiveInsurance Plan from Progressive

7) Find the % of change from 2001 to 2004to the nearest hundredth of a percent.

YearYear Average Average CostCost

19991999 $341$341

20002000 363363

20012001 387387

20022002 399399

20032003 407407

20042004 419419

8.27% increase

Average Cost of a Six Month Car Average Cost of a Six Month Car Insurance Plan from ProgressiveInsurance Plan from Progressive

8) You are planning to create a freq. distribution using 12 intervals. List out the intervals.

3232 3434 4141 4646 6161 5959

3737 5555 1616 1414 5252 6161

3939 4747 5252 1818 2828 2626

4343 4747 5959 1919 3333 4444

5656 4343 2727 3939 4141 4747

14-1718-2122-2526-2930-3334-3738-4142-4546-4950-5354-5758-61

Cell Phone & Home Phone Cell Phone & Home Phone ProvidersProviders9) You are constructing a pie chart of the data. What would the central angle be, to the nearest degree, for both AT&T Home and Cell Phone users combined?

PhonePhoneCompanyCompany

San San Ramon Ramon CustomersCustomers

VerizonVerizon 4,3444,344

CingularCingular 3,3573,357

SprintSprint 3,8903,890

AT&T AT&T HomeHome

12,15112,151

AT&T AT&T CellCell

754754

190 degrees

Tiebreaker: Favorite Sodas at Tiebreaker: Favorite Sodas at SRVHSSRVHS

If the central angle of a pie chart for the Coke piece is exactly 102.5 degrees, how many peoplelike Dr. Pepper as their favorite soda?

SodaSoda # of # of StudentsStudents

CokeCoke 820820

PepsiPepsi 660660

Mt. DewMt. Dew 500500

Dr. Dr. PepperPepper

Root Root BeerBeer

410410

102.5/360 = 820/x

x = 2880 people at the school

2880 – 820 – 660 – 500 – 410 =

490 students love Dr. P!!

The first non-tied student to show me (not yell) the answerwill also get reduced HW.

HWHW

P. 90 #3-6, 8, 10P. 90 #3-6, 8, 10 for #5 create a frequency histogram onlyfor #5 create a frequency histogram only

Bring graph paper and a calc. for the test tomorrowBring graph paper and a calc. for the test tomorrow

Winning Players: do only #4, 6, and 8Winning Players: do only #4, 6, and 8

FYI: A lot of people forgot to do #14b on FYI: A lot of people forgot to do #14b on Firday’s Assignment, Cum. Freq. Histo.Firday’s Assignment, Cum. Freq. Histo.