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.
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?
1 answer
1 answer