Chapter 04 - 59 Chapter 4 4.1 a 12 5 40 81 33 30 60 44 104...

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59 Chapter 4 4.1 a 12 5 40 81 33 30 60 44 104 0 15 25 52 + + + + + + + + + + + = = å n x x i = 12 489 = 40.75 Ordered data: 0, 5, 15, 25, 30, 33, 40, 44, 52, 60, 81, 104; Median = (33 + 40)/2 = 36.5 Mode = all 4.2 a 15 12 0 2 5 10 8 3 9 5 6 15 3 0 7 5 + + + + + + + + + + + + + + = =å n x x i = 15 90 = 6.0 Ordered data: 0, 0, 2, 3, 3, 5, 5, 5, 6, 7, 8, 9, 10, 12, 15; Median = 5 Mode = 5 b The mean number of sick days is 6, the median is 5, and the most frequent number of sick days is 5. 4.3 a 12 6 . 6 3 . 8 6 . 18 5 . 12 4 . 3 5.3 8 . 2 7 . 8 0 . 22 6 . 1 2 . 7 5.5 + + + + + + + + + + + = = å n x x i = 12 5 . 102 = 8.54 Ordered data: 1.6, 2.8, 3.4, 5.3, 5.5, 6.6, 7.2, 8.3, 8.7, 12.5, 18.6, 22.0; Median = 6.9 Mode = all b The mean number of miles jogged is 8.54. Half the sample jogged more than 6.9 miles and half jogged less. 4.4 a 9 36 38 52 19 42 60 45 29 33 + + + + + + + + = = å n x x i = 9 354 = 39.3 Ordered data: 19, 29, 33, 36, 38, 42, 45, 52, 60; Median = 38
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Mode: all b The mean amount of time is 39.3 minutes. Half the group took less than 38 minutes. 4.5 a 20 0 4 12 11 8 15 13 9 4 7 12 10 13 9 4 6 2 3 8 14 + + + + + + + + + + + + + + + + + + + = = å n x x i = 20 164 = 8.2 Ordered data: 0, 2, 3, 4, 4, 4, 6, 7, 8, 8, 9, 9, 10, 11, 12, 12, 13, 13, 14, 15; Median = 8.5 Mode = 4 b The mean number of days to submit grades is 8.2, the median is 8.5, and the mode is 4. 4.6 1 ) 1 )( 1 )( 1 ( 3 3 2 1 - + + + = R R R Rg = 1 ) 50 . 1 )( 10 . 1 )( 25 . 1 ( 3 - + - + = .19 60 4.7 1 ) 1 )( 1 )( 1 )( 1 ( 4 4 3 2 1 - + + + + = R R R R Rg = 1 ) 25 . 1 )( 50 . 1 )( 30 . 1 )( 50 . 1 ( 4 - - - + + = -.075 4.8 a 5 20 . 05 . 06 . 22 . .10 + - + + = = å n x x i = 5 53 . = .106 Ordered data: -.05, .06, .10, .20, .22; Median = .10 b 1 ) 1 )( 1 )( 1 )( 1 )( 1 ( 5 5 4 3 2 1 - + + + + + = R R R R R Rg = 1 ) 20 . 1 )( 05 . 1 )( 06 . 1 )( 22 . 1 ) ( 10 . 1 ( 5 - + - + + + = .102 c The geometric mean 4.9 a 5 50 . 08 . 15 . .20 - .15 - + - + = = å n x x i = 5 22 . = .044 Ordered data: -.20, -.15, -.08, .15, .50; Median = -.08 b 1 ) 1 )( 1 )( 1 )( 1 )( 1 ( 5 5 4 3 2 1 - + + + + + = R R R R R Rg = 1 ) 50 . 1 )( 08 . 1 )( 15 . 1 )( 20 . 1 ) ( 15 . 1 ( 5 - + - + - - = .015
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c The geometric mean 4.10 a Year 1 rate of return = 1000 1000 1200 - = .20 Year 2 rate of return = 1200 1200 1200 - = 0 Year 3 rate of return = 1200 1200 1500 - = .25 Year 4 rate of return = 1500 1500 2000 - = .33 b 4 33 . 25 . 0 .20 + + + = = å n x x i = 4 78 . = .195 Ordered data: 0, .20, .25, .33; Median = .225 c 1 ) 1 )( 1 )( 1 )( 1 ( 4 4 3 2 1 - + + + + = R R R R Rg = 1 ) 33 . 1 )( 25 . 1 )( 0 1 )( 20 . 1 ( 4 - + + + + = .188 d The geometric mean is because 1000(1.188) 4 = 2000 4.11 a Year 1 rate of return = 12 12 10 - = -.167 Year 2 rate of return = 10 10 14 - = .40 61 Year 3 rate of return = 14 14 15 - = .071 Year 4 rate of return = 15 15 22 - = .467 Year 5 rate of return = 22 22 30 - = .364 Year 6 rate of return = 30 30 25 - = -.167 b
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6 167 . 364 . 467 . 071 . .40 .167 - - + + + + = = å n x
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Chapter 04 - 59 Chapter 4 4.1 a 12 5 40 81 33 30 60 44 104...

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