A shaded area to the right of the mean results in a positive z-score.
The 50th percentile is where the mean is located.
Note: Since the normal distribution function is for continuous random variable values, we must be careful to distinguish between "greater than" and "greater than or equal to." This is very different than the binomial distribution.
P(x <
P(x >
CONCEPT CHECK
Which of the following is NOT an equivalent interpretation for a 78th percentile?
There is an area of 0.78 shaded to the left of the normal distribution curve.
There is an area of 0.22 shaded to the right of the normal distribution curve.
There is an area of 0.22 shaded to the left of the normal distribution curve.
The top percentage of the curve is 22%.
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