Standard 3.1.2The student will use the measures of central tendency and/orvariability to make informed conclusions.

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Date: _

Practice Shket #2**00 NOT WRITE ON THIS SHEETOF PAPER**

Show your work and record your answers on your own sheet of paper.

1. (SR)The growing season is defined as the average number of days between the last frost in the spring and the

first frost in the fall. The table below shows the average growing season for nine major U.S. cities.AVERACE GRO~'VING

SEASON (IN DAYS)

165J193 @\

!156 !

f1.92

I-Z79

l 27]

[ 262!

198

If the circled number 156 is changed to 256, how would the mean, median, and mode of this data change?A. Increase mean, median, and modeB. Decrease mean, median and modeC. Increase mean, median, eliminate modeD. Increase mean and mode, decrease mean

2. (BCR)The table below shows the number of medals won by 24 countries during the 1998 Winter OlympicGames.

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! Cx"n~l<ll1y t '2'} sNii·l.t:rland ,. 7 ),

I l'/Nl/<r:W ! 25 Korea i 6f· . 1 ~ f'I Ri.\5Siil Ig Czech Rt?ptlDIic.. ! 3 I1"Av~~a J. 17 Swe.derl . r" 3 j

r'C~da. 1 15~~~:~-" .'.. 1-" 21-" -.- _..... t---_··· - - .- _-_._.__._-_.__ .. --- "'f--l Ur,it..,d 5ta~ I 13 ~<rLakh&-fan f1.. F'~l1lclt\d .1 12 ~i) i'1.ari a l-I Ndhfda.ndS I II Df'l'imark 1l--J~;'~n".-.. l' 10 Ur.rai/oe ·tI . ~.....- ··f- .. ..(-.1 Italy : 10 i'\ustJalia ii T i,...j f(Cll1ce ! g Sdgit.m t

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L..~~~:r.'~_ _ J...__.. g ~~:~~~~~~a.\.~.~_.,L.Use the data from the table to create a box-and-whisker plot.

What was the least number of medals won by a country in the top 25% of the final medal standings?

Use mathematics to explain how you determined your answer. Use words, symbols, or both in your

explanation.

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3. (SR)The table below shows the average daily temperatures, in degrees Fahrenheit ('F), for four selected cities.The average daily temperatures are given for the months of January and July.

AVERAGE DAILY TEMPERATURES (IN OF)\ City January July! Baltimore 40.0 87.0

Mexico City 70.3 73.8Tokyo 49.1 83.8Toronto 27.5 80.2

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According to the table, which city experiences the greatest range of temperatures between January and July?A. Baltimore B. Mexico City C. Tokyo D. Toronto

4. (BCRlA cereal company awards a prize to anyone who collects all 5 different game pieces. Each game piece hasan equal chance of being placed in a box of cereal. Each box of cereal contains 1 game piece. A class of 20students conducted a simulation to see how many boxes of cereal must be purchased to collect all 5 differentgame pieces. Their results are shown in the table below.

y.xX

I( x 'I."/.)( i~~K~XXX( ~ ~ ~

,,·,~·+,,·t-~t",,/·"1'"'!"'1""1""+-' '·l~'V·j"·t,.t·'j~+~·i·,,·t~'t·~i"·'l~·++"t''''1''~o 2. -4 6 8 Ip IZ 14 l6 18 ,0 22- 24 26

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What are the mean, median, and mode of the data?A box of cereal costs $2.80. Based on thk simulation results, how much money must a consumer spendto collect all 5 different game pieces? Uie measures of central tendency to justify your answer.One student in the class suggested that the data point of 26 should be ignored. Will ignoring this datapoint have a greater influence on the mkan or the median? Use mathematics to justify your answer.

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IS. (SR) Paul earned scores of 76, 78, and 86 on his first three science tests. What score does he need on his fourth

test to earn a mean score of 82?A. 78 B. 80 C.84 D.88

6. (SR) Edwin records the number of geese that live in a wildlife park from February through October. His resultsare shown in the table below. The mean of the data is 174. The median ofthe data is 180.GEESE AT WILDLIFE PARKMonth Feb.Number of Geese 60 161 178 188 203 228 196Which of these best e~plains why the mean is Ilss than the median?A. The data set only Includes 9 months.B. The range of the data set is very large. IC. The minimum value of 60 is well below the bther numbers in the data set.D. The maximum value of 228 is well above thk other numbers in the data set. h

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