This is an incorrect statement because the tails of a normal distribution curve are asymptotic to the x-axis , not to the y-axis. An asymptote is a straight line approached by a curve as one of the variables in the equation of the curve approaches infinity. The distance between the curve and the straight line becomes smaller and smaller as the curved line approaches infinity, but the curve does not intersect the line. The two tails of a normal distribution curve continue in both directions to infinity, getting closer and closer to the x-axis but never meeting it. We say that the tails of the curve are asymptotic to the x-axis, meaning they never intersect the x axis.
This is a property of a normal distribution. When a vertical line is drawn from the peak of the curve to the mean score on the x-axis, the area under the curve to the left of the vertical line is exactly half the total area (50%), and the other half (50%) of the area is to the right of the vertical line.
This is a property of a normal distribution. The inflection points are the points on the curve where the curve changes from bending upward to bending over. The inflection points for a normal distribution are at exactly ?1σ and +1σ.
This is a property of a normal distribution. The mean, the median, and the mode are the same value: the point on the x-axis where the curve peaks.
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