Explaining measures of dispersion

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Reference no: EM1320589

Q1) Following data signify the daily average hotel cost and rental car cost for 20 U.S. cities in a week in October 2006.

City

Hotel

Cars

S. Francisco

205

47

 LA

179

41

Seattle

185

49

Phoenix

210

38

Denver

128

32

Dallas

145

48

Houston

177

49

Minn.

117

41

Chicago

221

56

St. Louis

159

41

New Orleans

205

50

Detroit

128

32

Cleveland

165

34

Atlanta

180

46

Orlando

198

41

Miami

158

41

Pittsburg

132

39

Boston

283

67

New York

269

69

Wash. D.C.

204

40

a) Place data for hotel cost and rental car cost into ordered arrays.

b) Set up stem and leaf displays for each of these data sets.

c) Compare two sets of data. Does ordered array or stem-and-leaf display give more information? Describe in detail.

d) Around what value, if any, are hotel cost and rental car cost concentrated? Describe in detail.

a) Within distribution of scores, measures of dispersion give an indication of:

i) The number of cases which are unsatisfactory

ii) Variety

iii) The size of the sample

iv) The adequacy of the selection criteria for the sample

b) As distribution of scores becomes more variable, value of standard deviation

i) decreases

ii) stays the same

iii) increases

iv) becomes unpredictable

c) A sampling technique which permits you to make sure proportional representativeness in a sample is:

i) Representative sampling

ii) Stratified sampling

iii) Systematic sampling

iv) Simple sampling

Reference no: EM1320589

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