AP Statistics Summer Work m c2f0a1x7s OKTudtaa\ wsoosfbtkwravrsec nlgl`ck.t G ga`l_lx oraiagxhmtgsk ErSeBsEeQrVvReLdB.
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1 AP Statistics Summer Work m c2f0a1x7s OKTudtaa\ wsoosfbtkwravrsec nlgl`ck.t G ga`l_lx oraiagxhmtgsk ErSeBsEeQrVvReLdB. Name Find the mode, median, mean, lower quartile, upper quartile, interquartile range, sample standard deviation, and population standard deviation for each data set. 1) Car Weights (kg) 1,450 1,710 1,830 1,735 1,550 1,625 1,050 1,180 1,150 1,715 1,390 1,735 1,500 1,675 1,675 1,770 2) Age Assumed Office Senator Age Senator Age Senator Age Senator Age Bernie Sanders 65 Michael Bennet 44 Martin Heinrich 41 Lindsey Graham 47 Saxby Chambliss 59 Orrin Hatch 42 Bob Menendez 52 Tim Scott 47 Bob Corker 54 Mazie Hirono 65 Mitch McConnell 42 Amy Klobuchar 46 Kirsten Gillibrand 42 Tom Harkin 45 Jim Inhofe 60 Mike Crapo 47 Tim Kaine 54 3) Birth Rate by Country 4) Per Capita Income by Country Stem Leaf Births/woman Key: 1 2 = 12,000 s z2l0v1h7b gkxuttdaz OSsodfUtXwTaTrYeo TLfL[C^.e J yawlglr XrCisgDhmtwsb irrens_egrsvrepdi.b Q zmdaydneh Hw[iDtohh \IjnCffi[nMiWtpeP EAMlsgFe_bQrka^ `1i. -1-
2 Construct a scatter plot. State if there appears to be a positive correlation, negative correlation, or no correlation. When there is a correlation, identify the relationship as linear, quadratic, or exponential. Also find the slope-intercept form of the equation of the line that best fits the data. 5) X Y X Y 10 6, , , , , , , , , ,000 6) X Y X Y ) X Y X Y X Y ) X Y X Y 100 8, , , , , , ,000 1,000 2, ,000 1,000 2, F H2e0W1k7b CKOuwt`ak PSboZfytAwmaTrxea ILiLpC].F r bailtlp CrIi_gFhdtWsS LrUe_sneXrcvTezdn.f x DMBaDdIet wwui`t_hi RIZn\fUiQnMiyteeR gaolagjesb[roam e1i. -2-
3 9) Lea collects coins. Over a three-year period she collected 1,000 nickels. After organizing them by year, she found that the number of nickels from a given year was related to the number minted that year: Minted (100 mill.) In Sample Lea discovered that this can be modeled by the equation y = 2.72x where x is the number of nickels minted in a particular year in hundreds of millions and y is the number of nickels from that year in her sample. # In Sample # Minted (100 million) a) What does the slope of the line represent? b) What does the y-intercept of this function represent? c) Using this model, in a sample of 1,000 nickels how many would you expect to be from a year in which 8 hundred million were minted? Round your answer to the nearest whole number. d) According to the model, how many nickels from a year in which 23 hundred million were minted would you expect to find in a sample of 1,000? Round your answer to the nearest whole number. e) A sample of 1,000 nickels contains 20 from a particular year. According to the model, how many would you expect to have been minted that year? Round your answer to the nearest tenth of a hundred million. Q m2i0m1n7b mkvuutmag \Saogf^tDwYaYroeu `LbLGCK.Y c RATlUlf HreiYgLhytfsb OrbeZsjedrRvnexdL.h u WMhabdeew VwHiHtahU oienpfuilnzizt\eu iadlpgnerbcrmaf C1_. -3-
4 Draw a dot plot for each data set. 10) Birth Rate Country Births/woman Country Births/woman Country Births/woman Country Births/woman Guyana 2 Cape Verde 2 Romania 1 Cameroon 5 Belgium 2 South Sudan 5 Cambodia 3 Philippines 3 Tonga 3 Ghana 4 Poland 1 Samoa 3 Qatar 2 Burkina Faso 6 Pakistan 3 Syria 3 Egypt 3 Draw a stem-and-leaf plot for each data set. 11) Injuries Due to Distracted Driving per Month 9,391 9,044 9,098 9,552 9,631 9,514 6,317 7,618 8,152 8,874 7,229 8,865 10,174 9,658 8,848 8,568 Draw a box-and-whisker plot for each data set. 12) Age At Inauguration President Age President Age President Age President Age James K Polk 49 Grover Cleveland 55 James Monroe 58 Rutherford B Hayes 54 Harry S Truman 60 George Washington 57 Grover Cleveland 47 Richard Nixon 56 George H W Bush 64 Bill Clinton 46 John Adams 61 Andrew Johnson 56 Thomas Jefferson 57 Millard Fillmore 50 John Tyler 51 b E2j0V1y7H ]KMujtga] ZStoXf]tqwQaorzeT ml]ldc\.n x catltl^ vrlifgyhetssm MrieBsyeJrJvleNdM.x G kmvahdteb Hwaiwtbh[ XIAnpfHiunViYtueK qaol^gserb_rgat A1F. -4-
5 Draw a histogram for each data set. 13) Hours Slept P y2`0r1w7b ikguyt`ad gscoefdtjwcawr[eb XLPL]CN.n W RAulilk ]rtilg[hltnse TrIeqsnecrMvMe[dc.k D amhaqdpei Nw\iQtnhm ^ItnQfUiQnciotDel vaqldgve[bvr^af _1E. -5-
6 AP Statistics Summer Work i x2l0t1e7z WKWuAtra[ ZSnobfItvwcaXrRen mlclncb.f Y [AmlRlY urui\gihwtfs] SrxeasKegrBv[eHdB. Name Find the mode, median, mean, lower quartile, upper quartile, interquartile range, sample standard deviation, and population standard deviation for each data set. 1) 2) 1,450 1,710 1,830 1,735 1,550 1,625 1,050 1,180 1,150 1,715 1,390 1,735 1,500 1,675 1,675 1,770 Car Weights (kg) Mode = 1,675 and 1,735, Median = 1,650, Mean = 1,546.25, Q 1 = 1,420, Q 3 = 1,725, IQR = 305, s = and s = Age Assumed Office Senator Age Senator Age Senator Age Senator Age Bernie Sanders 65 Michael Bennet 44 Martin Heinrich 41 Lindsey Graham 47 Saxby Chambliss 59 Orrin Hatch 42 Bob Menendez 52 Tim Scott 47 Bob Corker 54 Mazie Hirono 65 Mitch McConnell 42 Amy Klobuchar 46 Kirsten Gillibrand 42 Tom Harkin 45 Jim Inhofe 60 Mike Crapo 47 Tim Kaine 54 Mode = 42 and 47, Median = 47, Mean = 50.12, Q 1 = 43, Q 3 = 56.5, IQR = 13.5, s = 8.08 and s = ) Birth Rate by Country 4) Per Capita Income by Country Births/woman Mode = 2, Median = 2, Mean = 2.31, Q 1 = 1.5, Q 3 = 3, IQR = 1.5, s = 1.3 and s = 1.26 Stem Leaf Key: 1 2 = 12,000 Mode = 3,000, Median = 11,000, Mean = 12,400, Q 1 = 3,000, Q 3 = 18,000, IQR = 15,000, s = 10, and s = 9, I s2y0g1b7y NKzuqtqa\ USUolfStFwhaPrvec bljlwco.j P ta`lhlc CrliXgQhktfs_ orweqskewrfvserda.q K bmdaldwe_ NwxiHtDhc UIJnCfwiYnqi[tyeK NAMl`gieybprlaP ^1p. -1-
7 Construct a scatter plot. State if there appears to be a positive correlation, negative correlation, or no correlation. When there is a correlation, identify the relationship as linear, quadratic, or exponential. Also find the slope-intercept form of the equation of the line that best fits the data. 5) X Y X Y 10 6, , , , , , , , , ,000 6) X Y X Y Negative correlation Linear y = x Positive correlation Linear y = x ) X Y X Y X Y ) X Y X Y 100 8, , , , , , ,000 1,000 2, ,000 1,000 2, Positive correlation Quadratic y = x Negative correlation Quadratic y = x W P2U0y1c7P PKZuWtpaI PSloRfHttwYa]rKez [LaLSCF.U T FA`l_lK irpiqgwhotgsg Mrpess_eTrlvYeNdP.R F zmxadd_ee fwsiotxhx UImnMfFiQngiZtgeg KAElSgaeebbrNaI U1A. -2-
8 9) Lea collects coins. Over a three-year period she collected 1,000 nickels. After organizing them by year, she found that the number of nickels from a given year was related to the number minted that year: Minted (100 mill.) In Sample Lea discovered that this can be modeled by the equation y = 2.72x where x is the number of nickels minted in a particular year in hundreds of millions and y is the number of nickels from that year in her sample. # In Sample # Minted (100 million) a) What does the slope of the line represent? The additional number of nickels from a particular year you'd expect to find in a sample of 1,000 for every additional hundred million minted b) What does the y-intercept of this function represent? Number of nickels in a sample of 1,000 from a year in which none were minted c) Using this model, in a sample of 1,000 nickels how many would you expect to be from a year in which 8 hundred million were minted? Round your answer to the nearest whole number. 15 nickels d) According to the model, how many nickels from a year in which 23 hundred million were minted would you expect to find in a sample of 1,000? Round your answer to the nearest whole number. 56 nickels e) A sample of 1,000 nickels contains 20 from a particular year. According to the model, how many would you expect to have been minted that year? Round your answer to the nearest tenth of a hundred million. 9.7 hundred million nickels n X2H0e1^7b GKkuktAay FS\oxfwtxwFa]rAeP QLJL_Cr.f Z OAWlFlt argi\gchltusw ]rmebsjejrxvpexdb.d x YMoavdUeT hwiictnhm niunvfripnlitt[es NAdlogbeWberbaj q1p. -3-
9 Draw a dot plot for each data set. 10) Birth Rate Country Births/woman Country Births/woman Country Births/woman Country Births/woman Guyana 2 Cape Verde 2 Romania 1 Cameroon 5 Belgium 2 South Sudan 5 Cambodia 3 Philippines 3 Tonga 3 Ghana 4 Poland 1 Samoa 3 Qatar 2 Burkina Faso 6 Pakistan 3 Syria 3 Egypt Draw a stem-and-leaf plot for each data set. 11) Injuries Due to Distracted Driving per Month 9,391 9,044 9,098 9,552 9,631 9,514 6,317 7,618 8,152 8,874 7,229 8,865 10,174 9,658 8,848 8,568 Stem Leaf Key: 8 9 = 8,900 Draw a box-and-whisker plot for each data set. 12) Age At Inauguration President Age President Age President Age President Age James K Polk 49 Grover Cleveland 55 James Monroe 58 Rutherford B Hayes 54 Harry S Truman 60 George Washington 57 Grover Cleveland 47 Richard Nixon 56 George H W Bush 64 Bill Clinton 46 John Adams 61 Andrew Johnson 56 Thomas Jefferson 57 Millard Fillmore 50 John Tyler G c2i0o1q7h lkvuutyav astocfgtxwkabrrek klulvck.u s JAPlZlj QrRiuguhrtTsx yreetshebrqvweddx.v ^ MMHaGdZei PwtiytUhF TIenBfUiJnli_taeE ^A`l`gBeFbYrKaK x1]. -4-
10 Draw a histogram for each data set. 13) Hours Slept v Z2t0g1V7O kkyugtual BSooNfdthw[aArNeQ vlklncc._ I TA_lWlG VrZiXgghdt^sF BrKezsMefrOvFeodv.b k bmsawdlev KwriRtOhM LIVncfriPn_iKthei BAolEgpevb`rRaD A1z. -5-
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