A teacher draws a line on the chalk board in the front of her classroom. She ask

Question

A teacher draws a line on the chalk board in the front of her classroom.  She asks each student to estimate the length in inches of the line.  She then collects the data and reports that the estimates range from 33 to 61 inches and the mean of the estimates is 42.25 inches.  She then measures the line she drew and it's found to be 41.75 inches long.  Does this support the theory that " 2 heads are better than 1 " ?  What statistical theory did you learn that supports this?  What could the teacher do to get the sample average (42.25 inches) closer to the actual average (41.75 inches)?

Explanation / Answer

Yes the given experiment supports the theory that "2 heads are better than 1"

As we see the mean value of all the values predicted by students is very near to the exact measurement of the line.

Here, we understand the power of mean i.e. to improve the accuracy of estimation we should take the average of number of estimatation.

In order to get the estimation more accurate, teacher should increase the number of estimation she is using while calculating the average. Also the outliers or extreme values should be excluded.

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