High School

A school will only accept students who score in the top 2% of an admission test. If the scores are normally distributed with a mean of 70% and a standard deviation of 5%, what is the minimum grade that a student must score to be accepted?

Answer :

Ninety-five percent of people have IQs between 70 and 130.99.7 percent of people have IQ scores between 55 and 145.With IQ scores between 55 and 145, only 0.3% of the population falls outside this range.

How likely is it that a student chosen at random will have an IQ of 115 or higher?

Since half should be over the normal of 100 (by evenness), this implies 50 - 34.13 = 15.87 (%) has an intelligence level score over 115.

Which level of understudies might have scored either higher than 90 or lower than 70?

That always prompts the same response: 95%!Since we are aware that one standard deviation equals five points, two standard deviations equal two x 5.As a result, 95% of scores fall between 70 and 90, which is 10 points above the mean of 80.

Learn more about IQs here:

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