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IQ scores distribution of IQ scores is not normally distributed standard with a mean of 100 and a standard deviation of 15, whi...Question
IQ scores distribution of IQ scores is normally distributed
standard with a mean of 100 and a standard deviation of 15, which is represented by a bell-shaped graphical.
What is the area under the curve?
What is the median?
What is the mode?
standard with a mean of 100 and a standard deviation of 15, which is represented by a bell-shaped graphical.
What is the area under the curve?
What is the median?
What is the mode?
Answers
MathMate
Yes, you can find the answers if the distribution curve is known.
The standard normal distribution curve has an area of 1.0 under the curve.
To convert a curve with mean 100 and SD=15 to the normal curve, we use
Z(X)=(X-μ)/σ
which means
X=σZ(X)+μ
where σ=15 and μ=100.
Translation of a curve does not change the area, but scaling it modifies the area by the multiplicative factor.
Hints for second and third part:
All symmetrical probability distribution curves such as the Normal distribution curve have identical mean/median/mode.
The standard normal distribution curve has an area of 1.0 under the curve.
To convert a curve with mean 100 and SD=15 to the normal curve, we use
Z(X)=(X-μ)/σ
which means
X=σZ(X)+μ
where σ=15 and μ=100.
Translation of a curve does not change the area, but scaling it modifies the area by the multiplicative factor.
Hints for second and third part:
All symmetrical probability distribution curves such as the Normal distribution curve have identical mean/median/mode.