The distribution of the iq (intelligence quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 15. according to the standard deviation rule, what range of iq scores do many (68%) people have

The range of  IQ scores for 68% of the people varies from 85  to 115

Given that the distribution of IQ (Intelligence Quotient) is approximately normal in shape

According to the empirical relation for normal curve 68% of the data lies in the range

So the  lower limit of the range of  the normal distribution of IQ score  = 100 -15 = 85

The upper limit of the range of the normal distribution of IQ score  = 100 + 15 = 115

So we can conclude that the range of  IQ scores for 68% of the people varies from 85  to 115

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Step-by-step explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

The distribution of the IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 15.

Therefore, the range of IQ scores that many (68%) people have is between

100 - 15 and 100 + 15

It becomes

85 to 115

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6