There are several factors that play into this, but first let's discuss your bandwidth.
If you have a wireless G network, you can connect at a maximum of 54 MB/s (big B means megaBYTES), while your ISP bandwidth is 60 Mb/s (small b means megaBITS). These are 2 different measurements, so let's convert your ISP bandwidth to MB/s so they match. There are 8 bits in 1 byte, so we divide 60 by 8 to find that your maximum ISP bandwidth is 7.5 MB/s. Since your wireless connection is still faster than this (54>7.5), your limiting factor will be your ISP bandwidth.
Some of the factors that may cause your speed tests to show lower results than this are as follows:
1) reduced signal strength of your wireless connection due to distance from the router and the materials used to build your home
2) interference on your wireless network from microwaves and other household devices
3) neighbors that share the ISP cabling back to their main distribution point
4) distance from the speed test server that you are connecting to
5) connection speed of the speed test server, and its reduced bandwidth and increased processing time due to other people using it along with you
All of these factors (and probably more) will affect your speed test results. The biggest factor will most likely be your neighbors using their internet at the same time as you, causing the overall available bandwidth to be reduced for the area. During peak usage hours (right after people get home from school/work, evening hours between dinner and bed), your speeds can be reduced significantly due to this. On average, at low usage times (the middle of the night) you can still expect to see connection speeds reduced by 5-10% or so from your maximum available bandwidth simply due to the distance the information has to travel to reach its destination and return to you.
All of this said, it's nearly impossible to say what you should see as far as connection speed goes since it's impossible to account for all of the factors involved at any one time with almost none of them being in your control. If you are getting speeds less than 80% of your maximum allotted bandwidth (48 Mb/s or 6 MB/s) however, I would call your ISP out to take a look at everything.