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Real-Life Math

Lasers must be calibrated to incredibly exacting standards in order to work correctly. Calibrating the machines is a big part of the work of laser technicians.

You are putting the finishing touches on a laser that will help put together and test computer chips. These chips will go inside hand-held computers. The chips are only as large as your little fingernail, so the laser must be precise and accurate.

The last thing you do is calibrate the settings. It should be within 0.0002 mm on average in order to be acceptable. To find out if it is, you test the laser 10 times. The laser is aimed at a spot and you track the variations in where the laser is pinpointed.

Your readings are:

0.0006
0.0005
0.0004
0.0006
0.0007
0.0008
0.0003
0.0005
0.0007
0.0005

Is the laser ready to go? To find out, find the average of the readings. If any of the readings is more than 0.0002 mm away from the average, you should send it back for recalibration.

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