Iq scores can be described using a normal distribution with a mean of 100 and a standard deviation of 15. using the empirical '68-95-99.7' rule, what percent of iq scores are above 130?

Question

Mathematics

Sarahi Gilmore

28 October, 06:35

Iq scores can be described using a normal distribution with a mean of 100 and a standard deviation of 15. using the empirical '68-95-99.7' rule, what percent of iq scores are above 130?

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Answers (2)

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Gaven Richardson · Answer 1

130 is 2 standard deviations above the mean so that is equivalent to 95%. So percent above 130 = 5%.

Mercedes · Answer 2

130 is 2 standard deviations above the mean.

95% of the population lie within 2 standard deviations, so 5% lie outside 2 standard deviations.

The percentage lying above 2 standard deviations is half of that, so 2.5%.