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re: "Half the schools are below average" - not always true
Posted on 10/1/14 at 11:37 pm to SpidermanTUba
Posted on 10/1/14 at 11:37 pm to SpidermanTUba
quote:
the statement "half the schools are below average" is NOT automatically true,
quote:
4 schools, each with the same population. Three have an average test scores of 90 - while the 4th has an average test score of 70. The average is thus (3*90+70)/4 = 85. Thus only 25% of the schools in this case, are below average.
With a small sample size like that, and an unusual distribution of scores like that, you are right. It is possible for much less than half of schools to be below average. But over a large sample size, and with anything but a VERY unusual distribution of scores, the number that will fall below the average will almost always be extremely close to 50%.
1
Posted on 10/2/14 at 7:14 am to Nuts4LSU
quote:
With a small sample size like that, and an unusual distribution of scores like that, you are right. It is possible for much less than half of schools to be below average. But over a large sample size, and with anything but a VERY unusual distribution of scores, the number that will fall below the average will almost always be extremely close to 50%.
Exactly.
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