For normal distributions, percentile ranks tend to exaggerate differences between persons at the middle of the scale.
In a normal distribution, the interscore distance would be greatest for the interval P₅ - P₁₀.
A set of raw scores (mean=48, S=9) is transformed to a set of IQ scores (mean=100, S=15). A raw score of 45 is equivalent to an IQ score of 95.
Standard scores obtained from different distributions may be compared if the reference groups are comparable and if the shapes of the distributions are similar,
The standard deviation of a set of z scores is the same as the standard deviation of the set of raw scores if they are normally distributed.
z scores from two different score distributions are comparable only if the reference groups are equivalent.
That the distribution follows the normal curve is not a necessary characteristic of a set of standard scores.
In a normal distribution with mean=50, S=10 and the middle 50% of cases fall between 43 and 57 (rounded).
In a normal distribution with mean=50, S=10 the bottom 80% of the cases fall below score 58 (rounded)
In a normal distribution of 200 cases, the bottom 40 cases fall below z score .-84.
In a normal distribution of 400 scores with mean = 50 and s = 10 27 fall below 35?
In a normal distribution with mean = 50 and S = 10, the proportion of cases that falls between 45 and 55 is .3830?
If we know the mean and standard deviation of a population, then any individual's raw score can be converted to a z-score using the formula z=(X - M)/S.
In a normal distribution of 200 cases, 21 fall above z=+1.25.
The percent of cases in a normal distribution falling between z=+.67 and z=-.67 is approximately .50.
In a normal distribution of 200 cases, 173 fall between z = +1.5 and z = -1.5.
If a set of raw scores is positively skewed, the set of scores derived from them will be positively skewed.
The mean of a normal curve does not take various values.
In a normal distribution of 200 cases, the bottom 40 cases fall below what score? -.84
In a normal distribution of 200 cases, what score divides the top 20 cases from the bottom 180? +1.28
In a normal distribution with and the bottom 80% of the cases fall below what score (rounded)? 58
In a normal distribution with and the middle 50% of cases fall between what two scores (rounded)? 43 and 57
A score of 650 is earned on a test for which and An equivalent score on a scale where and is 115.
In a normal distribution of x-bar=110, S=10, P₁₈ is a score of (rounded) 41.