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B: More About Calculations 131
Effect of Using Σ– to Correct Data
7KH+3%,,VWRUHVWKHVWDWLVWLFDOQXPEHUVLQDQ´DFFXPXODWHGµIDVKLRQ
,WGRHVQ·WVWRUHHYHU\QXPEHUWKDW\RXHQWHUEXWUDWKHULWSHUIRUPV
LQWHUPHGLDWHFDOFXODWLRQVZKHQ\RXSUHVVWKH
NH\7KH NH\
SHUIRUPVWKHRSSRVLWHLQWHUPHGLDWHFDOFXODWLRQVWRHIIHFWLYHO\UHPRYHD
QXPEHURUSDLURIQXPEHUVIURPWKHVWRUHGUHVXOWV
:KHQFRUUHFWLQJVWDWLVWLFDOGDWD
GRHVQRWGHOHWHURXQGLQJHUURUV
WKDWPD\RFFXUGXULQJWKHLQWHUPHGLDWHFDOFXODWLRQVGRQHE\
7KXV
VXEVHTXHQWUHVXOWVIRUFRUUHFWHGGDWDPD\EHGLIIHUHQWWKDQIRUGDWDWKDW
ZDVHQWHUHGRULJLQDOO\ZLWKRXWKDYLQJWRXVH
+RZHYHUWKH
GLIIHUHQFHZLOOQRWEHVHULRXVXQOHVVWKHLQFRUUHFWGDWDKDVDYHU\ODUJH
PDJQLWXGHFRPSDUHGZLWKWKHFRUUHFWYDOXHVLQWKLVFDVH\RXPD\ZDQW
WRFOHDUWKHVWDWLVWLFDOUHJLVWHUVDQGUHHQWHUWKHGDWD
Range of Numbers
7KHODUJHVWSRVLWLYHDQGQHJDWLYHQXPEHUVDYDLODEOHRQWKHFDOFXODWRUDUH
ï
WKHVPDOOHVWSRVLWLYHDQGQHJDWLYHQXPEHUV
DYDLODEOHDUHï
8QGHUIORZEULHIO\GLSOD\VUFLODQGWKHQ
GLVSOD\V]HUR5HIHUWRWKHPHVVDJHV
OFLODQGUFLOLQ´0HVVDJHVµ
IROORZLQJWKLVDSSHQGL[
.fm Page 131 Thursday, June 22, 2000 12:33 PM