Because of the wavelengths used in different kinds of radio broadcasting, AM radio signals often travel farther than FM radio signals do. Here are some summary statistics for the broadcasting ranges of radio stations in one region.

Type of StationMean broadcast rangeStandard deviationAM=320

=

320

k

m

=80

=

80

k

m

FM=88

=

88

k

m

=5

=

5

k

m

The KHAN radio station is an AM station with a broadcast range of 352 km, and the KFAL radio station is an FM station with a broadcast range of 95 km.

Relative to its station type, which station broadcasts farther, and why?