Probabilistic and Statistical Techniques 1 Lecture 7 Eng. Ismail Zakaria El Daour 2010

Probabilistic and Probabilistic and Statistical TechniquesStatistical Techniques

1

Lecture 7

Eng. Ismail Zakaria El Daour

2010

Probabilistic and Statistical TechniquesProbabilistic and Statistical Techniques

2

Chapter 2

Revision

3

Find mean, median, mode, midrange

Exercise 1


4

1612

192

n

xx

x27817111525161414141318

192

x81113141414151617182527

5.172

278

14

5.142

1514

Midrange

Mode

Median

Solution


5

Exercise 2

Find Standard deviation, variance for each of the two sample


6

x x2

0.8258 0.68190.8156 0.66520.8211 0.67420.817 0.66750.8216 0.6750.8302 0.68924.9313 4.053

Pepsi

32

22

1006.3)5(6

9313.4)053.4(6

)1(

s

nn

xxns

0)5(6

9144.4)025.4(6

)1(

2

22

s

nn

xxns

x x2

0.8192 0.67110.815 0.66420.8163 0.66630.8211 0.67420.8181 0.66930.8247 0.68014.9144 4.025

Coke


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Exercise 3

xz

62.0

20.98

9.262.0

2.98100

100 )

z

xa

262.0

2.9896.96

96.96 )

z

xb

062.0

2.982.98

2.98 )

z

xc


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Exercise 4

Find the indicated quartile or percentilea) Q1, b) Q3, c) P80, d) P33


9

Exercise 5The given values are the services times (in seconds) of McDonalds drive - through customers. McDonalds want to maintain a mean of a 90 sec or less. Did they succeed ?

88 107 35 93 65 55 119 83 99 74 46 108


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Exercise 6The following frequency table describes the speeds of drivers ticketed by some town police. These drivers were traveling through a 30 mi/h speed zone on the road. How does the mean comparing to the posted speed limit of 30mi/h

SpeedFreq

42-4525

46-4914

50-537

54-573

58-611


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Exercise 7The test score in a statistics class have a mean of 75 and a standard deviation of 12. use the range rule of thumb to estimate the minimum and maximum usual scores. Is a score of 50 considered unusual in this context ?


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Exercise 8What do you know about the values in a data set having a standard deviation of s = 0 ?


13

Exercise 9A small business consultant is investing the performance of several companies. The sales for the selected companies were:

CorporationSales (*1000 dollars)

Hoden Building Products1600

J & R Printing, Inc.4700

Long Bay Concrete Construction8900

Mancell Electric and Plumbing600

Maxwell Heating and Air Conditioning

24000

Mizelle Roofing and sheet Metals

200


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Exercise 9 continued

The consultant wants to include a chart in his report comparing the sales of the six companies. Use bar chart to compare the sales of these companies.


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Exercise 9 continued

0

5000

10000

15000

20000

25000

Hoden J & R Long Bay Mancell Maxwell Mizella


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Exercise 10A headline in a Toledo, Ohio, newspaper reported that crime was on the decline. Listed below are the no. of homicides from 1986 to 2002. draw a line chart to summarize the data of the homicide rates for the last 17 years.


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YearHomicides

198621

198734

198826

198942

199037

199137

199244

199345

199440

YearHomicides

199535

199630

199728

199825

199921

200019

200123

200227


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Exercise 10continued

0

5

10

15

20

25

30

35

40

45

50

1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003


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Exercise 11The Apollo space program lasted from 1967 until 1972 and

included 13 missions. The missions lasted from as little as 7 hours as long as 301 hours. The duration of each flight is listed below:

9 195 241 301 216 260 7 244 192 147 10 295 142

Find the mean and median of the flight times

Find the range and the standard deviation of the flight times


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Probabilistic and Statistical Techniques 1 Lecture 7 Eng. Ismail Zakaria El Daour 2010