03 STAT HWB a

# 03 STAT HWB a - Dr. Valerie R. Bencivenga Economics 329...

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Dr. Valerie R. Bencivenga Economics 329 PRACTICE HOMEWORK #3B: ANSWERS 1.a. median = 94 . 33 ) 30 50 ( 30 )( 137 . 473 . 5 . Calculation of the median from grouped data is based on the assumption that the observations in a class interval are uniformly distributed along the class interval. b. first quartile = 66 . 13 ) 10 20 )( 183 . 183 . 25 . ( 10 third quartile = 62 . 75 ) 75 100 )( 122 . 747 . 75 . ( 75 interquartile range = 75.62 13.66 = 61.96 c. The distribution is asymmetric with a “right tail” that will pull the mean up above the med ian. d. ) 031 (. 160 ) 099 (. 120 ) 122 (. 5 . 87 ) 137 (. 5 . 62 ) 137 (. 40 ) 107 (. 25 ) 183 (. 15 ) 183 (. 5 mean 8925 . 47 96 . 4 88 . 11 675 . 10 5625 . 8 48 . 5 675 . 2 745 . 2 915 . e. ) 18 ( ) 8925 . 47 40 ( ) 14 ( ) 8925 . 47 25 ( ) 24 ( ) 8925 . 47 15 ( ) 24 ( ) 8925 . 47 5 ( [ 130 1 iance var 2 2 2 2 ] ) 4 ( ) 8925 . 47 160 ( ) 13 ( ) 8925 . 47 120 ( ) 16 ( ) 8925 . 47 5 . 87 ( ) 18 ( ) 8925 . 47 5 . 62 ( 2 2 2 2 73 . 1733 ) 37 . 50272 39 . 67593 07 . 25100 82 . 3840 25 . 1121 93 . 7336 00 . 25966 40 . 44154 )( 130 1 ( Calculation of the mean and variance from grouped data is based on the assumption that all of the observations in a class interval have a value equal to the class mark (the midpoint of the class interval). f.

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## This note was uploaded on 02/26/2012 for the course ECONOMICS 329 taught by Professor Bencivenga during the Spring '12 term at University of Texas.

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03 STAT HWB a - Dr. Valerie R. Bencivenga Economics 329...

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