"Wolfgang S. Rupprecht" hath wroth:
In ham radio circles, MFJ is not known for quality products. That antenna might be suitable for temporary installation, but the exposed copper driven element and unprotected connector is just asking for problems outdoors. Also, I made no attempt to price shop or optimize the cost/dB ratio. Interestingly, at one time, the yagi was the most expensive, while the omni was the cheapest. I can do it again using approximately the same gain antennas, which should produce more useful results, but I was just hoping that the OP would do her own calculations based on prospective antennas.
Well, the maximum gain of a dish is very easy to calculate.
Climbing onto my roof and trying the numbers on a PacWireless 24dBi dish: Gain = 9.87 * 68cm^2 / 12.5cm^2 * 0.50 Gain = 9.87 * 4624 / 156.25 * 0.5 = 146 = 21.6dBi Close enough to 24dBi.
The gain of a yagi is approximately the gain of a dipole, 1.66 scalar (or 2.2 dBi) times the number of elements (including the driven element). So, the MFJ yagi should have a gain of: 1.66 * 16 = 14.2dBi Close enough to 15dBi.
Basically, if the antennas were built perfectly, they would be sufficiently close to theory to make the advertising correct. However, this is rarely the case. Manufacturing tolerances, surface coating inefficiency, connector losses, sloppy construction, VSWR losses, boresight errors, effects of the mounting hardware, local reflections, and sloppy installations all conspire to reduce the gain below the maximum. Your mileage and gain may vary.
It's not fraud. You might try the better biz burro or Federal Trade Commish. I doubt that they care.
It's not 5dB short. There are plenty of other abominations in the antenna business. I've often considered going into the commercial antenna business because few people can understand how they work, make valid comparisons, and have the necessary test equipment. Perfect for an evil exploiter like me. Anyway, I can do without hand drawn antenna patterns, unrealistic free space antenna patterns, non-standard scales on antenna patterns, claims of range improvement (compared to what?), forgetting about coax cable and pigtail losses, ignoring bandwidth issues, failing to measure up-tilt on omnis, crappy mounts, use of easily corroded materials for unsealed outdoor antennas, etc. It's not really distorting the numbers as much as conveniently forgetting to mention some important items.