I wrote about the overlap of two measurements, but I really meant
the gap between two measurements. The subsequent paragraph discussed the overlap. I refined the language to make this clearer.
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"\n",
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"We will deal with this more formally later, but for now I hope it is clear that our best estimate is the average of A and B. $\\frac{160+170}{2} = 165$.\n",
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"\n",
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"We can look at this graphically. I have plotted the measurements of A and B with an assumed error of $\\pm$ 8 lbs. The overlap falls between 160 and 170 so the only weight that makes sense must lie within 160 and 170 pounds. "
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"We can look at this graphically. I have plotted the measurements of A and B with an assumed error of $\\pm$ 8 lbs. The measurements falls between 160 and 170 so the only weight that makes sense must lie within 160 and 170 pounds. However, if we look at how they overlap we can further constrain the estimate."
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]
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},
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{
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