Review: Measures of Central Tendency & Probability May 17

Transcription

1 Algebra 1 Mrs. J. Millet Name J \f0[1tc lkzuptsah TSgoffqtBwdatrney PLELRCP.[ T kafldlf Kr^iCgPhNtIsq urgehsqekrxvberd_. Review: Measures of Central Tendency & Probability May 17 Show your work on another sheet of paper. Put answers on this sheet only. For 1 -, find the mode, median, mean, and range for each data set. Period 1) Hits in a Round of Hacky Sack ) Hits 1 4 Length of Book Titles # Words Frequency Round 3) Land Area of US States (km²) 4) Stem Leaf Key: 1 = 10, Games per World Series 5) Age at First Job ) Age at First Job Age Frequency s re0l1iq okuu\tyaf ISeosfOtSwiaBrCeN WLALLC[.p D jael`lq WrSiQgohntQsk lrbe^swecrvvhehdu.o Y amfaidcee YwUiftJhh IIhnIfdiYnLiFtpeo SAzlsgieEburma] b1o. -1-

2 7) Length of Book Titles ) # Words Frequency European Spacecraft Launches Launches Year 9) Average Lifespan ) Animal Years Animal Years Eel 55 Painted Turtle 11 Mynah Bison 30 Zebra Finch 17 Cat 5 Green Frog Ox 0 Pig (wild) 5 Giant Salamander 55 Congo Eel 7 Games per World Series Games Frequency Events A and B are independent. Find the missing probability. 11) P(A) = 9 0 P(B) = 7 P(A and B) =? 1) P(A) = 5 P(B) = 3 5 P(A and B) =? Find the missing probability for these dependent events. 13) P(A) = 3 P(A and B) = 3 0 P(B A) =? 14) P(A and B) = 9 0 P(A B) = 9 40 P(B) =? Events A and B are mutually exclusive. Find the missing probability. 15) P(B) = 11 0 P(A or B) = 3 4 P(A) =? 1) P(A) = 5 P(A or B) = 17 0 P(B) =? k rw0`1sh qk\uwtbam US]oLfytqwbalrcew alalfcg.s Y WAilzlC [r`ivgbhptksb MrzeLspebrGvEefda.e f DMna^deeX jwoiktuhu SIenofUiYnsi\t^eX UAQlkg`esbMraar l1m. --

3 State whether the probability is independent, dependent, or mutually exclusive. Find the probability. 17) A cooler contains twelve bottles of sports drink: three lemon-lime flavored, five orange flavored, and four fruit-punch flavored. You randomly grab a bottle. Then you return the bottle to the cooler, mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink. 1) A cooler contains thirteen bottles of sports drink: eight lemon-lime flavored and five orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. Your friend gets a lemon-lime and you get an orange. 19) You select two cards from a standard shuffled deck of 5 cards. Both selected cards are diamonds. (Note that 13 of the 5 cards are diamonds.) 0) A basket contains seven apples and eight peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Both pieces of fruit are apples. 1) A box of chocolates contains six milk chocolates and five dark chocolates. Three of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. It is a milk chocolate or has no peanuts inside. ) A bag contains five red marbles, five blue marbles, and three yellow marbles. You randomly pick a marble. The marble is red or blue. m cq0q1u_ XKnuqtya[ ss_oufnteweairfeb CLyLhCc.\ s faolzlt [rii]gghotosd YrNeAsOeUrjvSeNda.` X \MCaLdAes nw\i^tuhx simntfzisncietoed faxlvgeecb_riaf ^1Y. -3-

4 3) A bag contains six yellow tickets numbered one to six. The bag also contains six green tickets numbered one to six. You randomly pick a ticket. It is yellow or has a number less than four. 4) A basket contains four apples and five peaches. One of the apples and three of the peaches are rotten. You randomly pick a piece of fruit. It is fresh or it is an apple. Find the number of possible outcomes in the sample space (fundamental counting principle). 5) A spinner can land on either red or blue. You spin and then roll a six-sided die. ) A soccer player takes two penalty kicks in a game. Each attempt results in a goal or a miss. Show the sample space for each of the following (tree diagram). 7) An ice cream stand offers single-scoop waffle-cones or bowls. Four flavors are available: strawberry, chocolate, vanilla, and mint chocolate chip. ) The chess club must decide when to meet for a practice. The possible days are Tuesday, Wednesday, or Thursday. The possible times are 3 or 4 p.m. Find the odds for each of the following (odds - answer must be in #:# form). The jar contains 50 pennies, 30 nickels, 0 dimes, and 00 quarters. 9) What are the odds of selecting a dime? 30) What are the odds of selecting a quarter? 31) What are the odds against selecting a quarter? 3) What are the odds against selecting a nickel or a quarter? k ay0y1d_ pkbuhtmal dskoyf[tjwoajrqeh vlqlqcx.s h [ASlblH zrjisgkhntmsg wrteisuedrlvweede.k K _MxaIdKeM bwfi\tihm iiyntfpienriwtpei satlagte_bqrmap D1m. -4-

5 Answers to Review: Measures of Central Tendency & Probability May 17 1) Mode = 7, Median = 5 and Mean = 5.7 ) Mode =, Median = and Mean =.7 3) Mode = 10,000, Median = 10,000 and Mean = 15,. 4) Mode = 7, Median = 5.5 and Mean = 5.7 5) Mode = 15, Median = 15 and Mean = 1.11 ) Mode = 13 and 17, Median = 1 and Mean = ) Mode = 3, Median = 3 and Mean = 3 ) Mode = and 9, Median = 11 and Mean = ) Mode = 5 and 55, Median = 5 and Mean = 5.73 ) Mode = 7, Median =.5 and 3 Mean = 11) 1) ) 1 14) 15) 1 9 1) )» ) 39» ) 1 17» ) 1 5 = 0. 1)» ) 13» ) 3 4 = ) 3» 0.7 5) {(R, 1), (R, ), (R, 3), (R, 4), (R, 5), (R, ), (B, 1), (B, ), (B, 3), (B, 4), (B, 5), (B, )} ) {(G, G), (G, M), (M, G), (M, M)} 9) 3:14 7) {(W, S), (W, C), (W, V), (W, M), (B, S), (B, C), (B, V), (B, M)} ) {(T, 3), (T, 4), (W, 3), (W, 4), (R, 3), (R, 4)} 30) :7 31) 7: 3) 11:3 I r`0w1x] FKxujtGae dsxoofttnwcawrjeu ZLuLrCQ.E M FAwljl\ krgibgph]ttsk FrYezsBeErLvJehdW.n k KMWaqdseU PwRiwt[hH ZIHnafIignviotWes vaql_ggedblrfad l1]. -5-