Alg1 RBC Answers A - MR. MUSCARELLO

Answers75.88.y4 1212x 5 1371115Output52 1 4 7 10 13x 10390. g ( x ) 5( x 2)Chapter 11vertical stretch by a factor of 711.1 Start ThinkingAnswers may include, but are not limited to: A list oftest percentages from least to greatest, along withaccurate answers showing the lowest score, the highestscore, the range, the mode, and the median of all thescores.y22x11.1 Warm Up 2vertical stretch by a factor of 4 followed by atranslation 2 units left and 1 unit down77. 989. g ( x) 676.Inputy1. 1.92. 7.93. 84. 14.35. 0.16. 207. 4.88. 139. 1111.1 Cumulative Review Warm Up21. vertex: (0, 0) ; axis of symmetry: x 02 2x2. vertex: ( 3, 0) ; axis of symmetry: x 3 23. vertex: ( 2, 0) ; axis of symmetry: x 2vertical shrink by a factor of12followed by atranslation 1 unit right and 2 units up78.4. vertex: (9, 0) ; axis of symmetry: x 95. vertex: ( 4, 0) ; axis of symmetry: x 4y6. vertex: ( 5, 0); axis of symmetry: x 522 211.1 Practice Ax1. a. mean 5, median 4, mode 3 2b. median; the mean is affected by the outlier andtranslation 2 units left and a vertical shrink by afactor of 0.2579. x 2580. x 3681. y 4982. w 1183. r 10284. x 185. x 287.InputOutput86. x 4543210 2 101234Answers2. a. mean 13.2, median 13, no modeb. either the mean or the median, because theyare close3. a. mean 3.94 minutes, median 3.5 minutes,mode 3.5 minutes6A136 Algebra 1the median is a better choice than the mode.b. median or mode; the mean is affected by theoutlier and the median and the mode are equal.Copyright Big Ideas Learning, LLCAll rights reserved.

Answersc. The outlier is 7.2 minutes. It increases the mean,but does not affect the median or the mode.d. Sample answer: Some songs have longerinstrumental portions.4. x 75. x 196. Boys: range 9 in.; Girls: range 9 in.; Therange is the same for both teams.7. a. range 25b. standard deviation 8.608. a. range 25b. standard deviation 9.219. a. standard devia tion 2.42; The typical height ofa boy on the track team differs from the mean byabout 2.4 inches.b. standard deviation 2.65; The typical height ofa girl on the track team differs from the mean byabout 2.6 inches.c. The standard deviations are about the same, withthe girls having a somewhat larger spread. It canbe concluded that the girls’ heights are slightlymore variable than the boys’ heights.11.1 Practice Bb. standard deviation 1.339. mean: 540; median: 525; mode: 450; range: 240;standard deviation: 73.511.1 Enrichment and Extension1. Sample answer: The cafeteria staff at a high schoolwanted to see if they should keep making Caesarsalad for lunch. For two school weeks, they kepttrack of the number of salads they sold each day.The data are 9, 8, 9, 10, 10, 10, 12, 13, 25, 29.2. Sample answer: A restaurant owner wanted tofigure out the ages of the people who were mostlikely to come to his establishment. On Saturdayafternoon, he took a small sample size of guests andasked them their ages. The data are 21, 21, 22, 24,25, 25, 25, 26, 26, 29.3. Sample answer: For science class, you have torecord the daily high temperatures this spring andkeep them in a log book. The temperatures jumpfrom mid-March into early April, and thetemperatures for the first 10 days you record are 38,40, 45, 55, 64, 70, 71, 72, 72, 73 degreesFahrenheit.4. Sample answer: You have ten cousins and you want1. a. mean 5.5, median 5, mode 5 and 9b. mean or median; both are around 5 and themedian is equal to one of the modes.2. a. mean 20, median 22, mode 22 and 24b. median; the mean is affected by the outlier andthe median is equal to one of the modes.3. a. mean 8.83 pounds, median 9.35 pounds,no modeto figure out their average age and median age forfun. Their ages are 18, 19, 20, 22, 22, 24, 25, 26,26, 28.5. a. mean: 11.75; median: 11.5; mode: 11; range: 8b. mean: 5.875; median: 5.75; mode: 5.5; range: 8c. mean: 8.75; median: 8.5; mode: 8; range: 811.1 Puzzle TimePLUG ITS NOSEb. median; The mean and the median are close, butonly 3 of the 9 values are less than the mean.c. Still no mode, and the mean and the median dropto 8.59 pounds and 9.12 pounds, respectively.4. x 168. a. range 3.95. x 776. a. The outlier is 20 days. It increases the mean, buthas no effect on the median or the mode.b. Sample answer: It could be due to complicationsafter surgery.7. a. range 2211.2 Start ThinkingAnswers may include, but are not limited to: A list oftest percentages from least to greatest, along withaccurate answers showing the lowest score, the highestscore, the median of the entire list, as well as themedian of the upper and lower halves plotted on anumber line.11.2 Warm Up1. 92. 4.53. 20.54. 15. 2156. 2.5b. standard deviation 7.36Copyright Big Ideas Learning, LLCAll rights reserved.Algebra 1 A137Answers

Answers11.2 Cumulative Review Warm Up8.21. x 2 11x 18121 121 11 121 ; x 44 2 4 80 20 16 12 8 470421812162022. x 2 15 x 225 225 15 225 ; x 44 2 49.43. x 6 x 9 9; ( x 3) 98 10162122024. x 2 13 x 169 169 13 169; x 44 2 4810121416182022box is split in two even parts.211.2 Enrichment and Extension1. Sample answer: 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5,5, 6, 6, 86. x 4 x 4 4; ( x 2) 422. 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 811.2 Practice A1. 22. 63. 104. 85. 86. 53. The mean is most likely close to 4 hours because itis in the center of the data and there are no outliers.4. stem and leaf plot:7.106b. yes; The whiskers are the same lengths and the25 25 5 255. x 5 x ; x 44 2 40410. a. no; 15 is the third quartile.2223.528461281012Stem Leaf0 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 85. mean: 3.94 hours; median: 4 hours;mode: 2 hours; range: 6 hours8.1216.522296. first quartile: 2 hours; third Quartile: 5 hours357. box-and-whisker plot10 12 14 16 18 20 22 24 26 28 30 32 34 369.01.5 2402486810. a. no; 11 is larger than the maximum value of 10.b. yes; The left whisker is longer than the rightwhisker.242458688. The range of the data is 6 hours. The students watchTV or use their smart phones or tablets fromanywhere between 2 hours and 8 hours.9. The data is skewed to the right.10. The data is more spread out in Q2 because Q111.2 Practice B1. 52. 103. 84. 125. 156. 9consists entirely of data values of 2 hours.11.2 Puzzle TimeI’M WIPED OUT7.122228323510 12 14 16 18 20 22 24 26 28 30 32 34 36A138 Algebra 1AnswersCopyright Big Ideas Learning, LLCAll rights reserved.

Answers11.3 Start Thinking4. a.11.3 Warm UpFrequencyAnswers may include, but are not limited to: Threeseparate histograms, labeled and using equal intervalsshowing height in feet and inches, shoe sizes, andnumber of siblings. Each should have the mean andmedian marked within the histogram. The studentshould also state the mean and median of each setof data.Last Gas Purchases865010–2425–3970– 8485– 991. skewed rightParking TicketsFrequency5. mean: 3.5; median: 3.5; mode: none200157Output4416111440–12–3036Yard Work251244–56–727468101214 15121416Both distributions are skewed left.b. In general, the juniors attended more schoolevents than the sophomores.c. approximately 13352–38 9Juniors015110–11Sophomores1. skewed right108–94. a.2206–73, 1 which is symmetric.11.3 Practice A284–53. symmetric; The numbers of leaves are 1, 3, 5, 7, 5,2. (0, 3), ( 4, 5), (6, 7), (0, 9), ( 5,11)5202. skewed right; Most of the numbers are small.1. ( 1, 2), ( 9, 4), ( 4, 5), ( 6, 8), ( 2, 10)723Number of Tickets11.3 Cumulative Review Warm UpInput18106. mean: 4.1; median: 4; mode: 2Frequency55– 69b. median and the 5-number summary; The data is4. mean: 20.4; median: 13; mode: 6, 130–12Purchases at the Pump3. mean: 10.5; median: 10; mode: none0211.3 Practice B2. mean: 8.7; median: 8; mode: none3040– 542skewed right.1. mean: 7.1; median: 7; mode: none3.448–910–11Hours in Yard2. symmetric; The numbers of leaves are 3, 4, 5, 4, 3,which is symmetric.3. skewed left; Most of the numbers are large.11.3 Enrichment and Extension1. mean: 100; standard deviation: 18.2392. mean: 4.5; standard deviation: 2.2913. mean: 2.4; standard deviation: 1.4974. mean: 71; standard deviation: 8.98111.3 Puzzle TimeA HOLECopyright Big Ideas Learning, LLCAll rights reserved.Algebra 1 A139Answers

Answers11.4 Start Thinking6.PetSample answer:ChocolateVanillaBoys118Girls47A two-way table gets its name because there are twoseparate categories of answers. So, there are twoseparate groups of information. In this example, thereare 30 total people surveyed. This number is equivalentto the number of boys and girls in the class. The totalcan be found by finding the sum of the four boxes inthe two-way table, because each person in the class wassurveyed and gave a separate answer.3.314915.246.5387.491878.or 1111141or 19.331. g 32. t 63. x 24. t 55. y 66. x 5No242044Total57132189145 people drink tea.44 people do not drink tea.189 people were surveyed.57 people drink coffee.132 people do not drink coffee.2.11.4 Practice A2. 1273. 59YesNoTotalYes326597No452469Total778916697 students surf.69 students do not surf.166 students were surveyed.77 students skateboard.89 students do not skateboard.A140 Algebra 1Airplane4. 194SkateboardSurfNo11.4 Practice B11.4 Cumulative Review Warm UpAnswers87c. 33.0%112.411. 95.13b. 53.6%Tea12314.or 1221. 12674d. 14.5%2.10. 1Yes7. a. 58.4%Train25Total87 students have a job.185 students do not have a job.272 students were surveyed.227 students have a pet.45 students do not have a pet.11.4 Warm Up1.NoJobWhich ice cream flavor do you like better, chocolateor 078 students have traveled by train.599 students have not traveled by train.607 students were surveyed.283 students have traveled by airplane.324 students have not traveled by airplane.Copyright Big Ideas Learning, LLCAll rights reserved.

fruitTotalgreen teawatericed teaNoFrankRubyTomGenderYesmilk11.4 Enrichment and ExtensionParticipatedin a TriathlonWendy3. 5.99 o o o 6.99 o o o 7.99 o o o 8.99 o o o banana o o apple o o mango o o grape o fruit omilk o 5.SportMusical Instrumentgreen o teaYesNoTotalYes57245302water oNo613495iced tea o Total118279397PricesNamesDrinksFruit 5.99Wendywaterbanana 6.99Frankmilkapple 7.99Rubyiced teagrapefruit 8.99Tomgreen teamango11.4 Puzzle TimeA QUARTER11.5 Start Thinkingbar graph, circle graph, dot plot, pictograph; Sampleanswer: The best choice is a circle graph, because itwould be easy to compare percentages to determine thefavorite and least favorite video game systems.11.5 Warm Up1. continuousCopyright Big Ideas Learning, LLCAll rights reserved.2. discreteAlgebra 1 A141Answers