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.. Determine whether each statement is true or false. If the statement is false, explain why. 1. When the mean is computeq for individual data, all values in the data set are used. Tr"" e..... 2. The mean cannot be found for grouped data when there is an open class. Tt'~ 3. A single, extremely large value can affect the median more than the mean. F oJ £ e.. 4. One-half of all the data values will fall above the mode, and one-half will fall below the mode. Fo...l se.. 5. In a data set, the mode will always be unique. FcJse,; 6. The range and midrange are both measures of variation. FQ.f Se.. 7. One disadvantage of the median is that it is not unique. 1=0..,[Se... 8. The mode and midrange are both measures of variation. FalSe. 9. If a person's score on an exam corresponds to the 75th percentile, then that person obtained 75 correct answers out of 100 questions. Po.../Se... Select the best answer. 10. What is the value of the mode when all values in the data set are different? a. b. (£) d. 0 1 a. 50% (f) 68% c. 95% d. 99.7% Complete these statements with the best answer. 16. A measure obtained from sample data is called a(n) . S-to.-T'IS-t'l c.... 17. Generally, Greek letters are used to represent , and Roman letters are used to represent . PQ..ra..fY1~T~rs ~ "TCl,.,.;st ;c.~ 18. The positive square root of the varia~ce is called the . S-i-Q.f\d.o"rd. ck.u \Q,t~~t'\ 19. The symbol for the population standard deviation is C!Y 20. When the sum of the lowest data value and the highest data value is divided by 2, the measure is called . I'Y) 'Id. ~~f'! ~Q... 21. If the mode is to the left of the median and the mean is to the right of the median, then the distribution is p OS :;-: v~\ Yr. skewed. 22. An extremely high or extremely low datll value is called There is no mode. It cannot be determined unless the data values are given. 11. When data are categorized as, for example, places of residence (rural, suburban, urban), the most appropriate measure of central tendency is the a. Mean b. Median c. A coefficientof variation Azscore 15. When a distributionis bell-shaped,approximatelywhat percentageof data values will fall within 1 standard deviationof the mean? @ (D Mode d. Midrange 12. p 50correspondsto a.. o "C"-I b a. Q2 b. D5 c. IQR d. Midrange 13. Which is not part of the five-numbersummary? a. QI and Q3 C£) The mean c. The median d. The,smallestand the largestdata values 14. A statisticthat tells the numberof standarddeviationsa data value is above or below the mean is called a a(n) Ll1-liex23. Miles per Gallon The number of highway miles pet gallon of the 10 worst vehicles is shown. ' , O 12 15 13 14 15 16 17 16 17 Source: Pittsburgh Post Gazette, Find each of these. a. Mean I5 b. Median t 5 c. d. e. f g. Mode .~ .5 JS I U1J Midrange }5 Range Co Variance 3 ls:,I Standarddeviation . I, '. q a. A quartile b. A percentile Find each of these. a. Mean b. Modal class C»Sf/I to-~ D ':. ~ "'tt 18.' 25. Inches of Rain Shown here is a frequency distribution for the number of inches of rain received in 1 year in 25 selected cities in the United States. Number of inches Frequency 2 3 8 6 3 3 Find each of these. .;\..5 a. Mean I ~S'Y.RS b. Modal class ..:. F. m;d eo',Ot )C~ 01.0 13 5.5-20.5 20.5-35.5 35.5-50.5 50.5-65.5 65.5-80.5 80.5-95.5 Bq .;I.g> 3 ¥ Lf "3~~ 7..Cf ::t6Lf 1-13 5fl 13 ~ - /;)..RS 5 ( . _Lf 3';. S- '50-5 31. Test Scores A student scored 76 on a general science test where the class mean and standard deviation were 82 and 8, respectively; he also scored 53 on a psychology test where the class mean and standard deviation were 58 and 3, respectively. In which class was his relative position higher? 32. Which scorehas the highestrelativeposition? a. X = 12 X = 10 s=4 b. X = 170 X = 120 s = 32 c. X = 180 X = 60 s=8 ) '-/O Lj b) 3 O.r:; Q., ,sh;S /70- ,O / h-t . (0 J /89.=.C90 € IS .. o 33. Sizes of of 8Malls number feet (in millions) of theThe largest mallsofinsquare southwestern Pennsylvania is shown. 1 0.9 1.3 0.8 1.4 0.77 0.7 1.2 Source: International Council of Shopping Centers. a. Find the percentile for each value. b. What value corresponds to the 40th percentile? c. Construct a boxplot and comment on the nature of the distribution. o. -, c0 0-1 0"1 -=- 0.17 := D .S' T.,5 ., 0 () I-+.S tf O,--:.+.S o. bJ 3f,5 c:. -=. c9 5 ) to -t- ft I. I. I.tt -- 4-r,5.,DO 1 . Ie 0 I CJ +1-) I.:: 5" +,5 .IOD .100 3 ,£1- J. 3 t1 _ J.lf -=- /T.C) - 100 . JfO 100 I 0.9 =- 4 +1-) 3. ¥ 1""/5 LJ-t '" n u..h'tlo e V' /00 ./00 5 fD-t &:><1+ «? I st- Cj + 1-, O.q 5 Ll..'" "'V' YV\; Y\ 0./ -- Q 1 O.15 :L .9.<15 - Q.,/+o.c;> 0.9 + .;t :l 1.25 --, I I 0.7 I I 0.8 I 0.9 ( I 1.1 I 1.2 . 1.4 I 1.3 I. SL..2.,+1.3 :l I I 1.0 Q I 1.4 h1 J.::L