Yes.
Consider the values 0,1,1,1,1,1,1,1,1,1
The mean is 0.9
9 out of 10 values are higher than this mean, which is obviously more than 50%.
0.2533
If most the population has many high scores, the distribution is negatively skewed. If most have many low scores, it is positively skewed
Variance
True or False, One major advantage of transforming X values into z-scores is that the z-scores always form a normal distribution
2
-1.28
It is 68.3%
Scores on the SAT form a normal distribution with a mean of µ = 500 with σ = 100. What is the probability that a randomly selected college applicant will have a score greater than 640?
0.13
0.2533
The mean of a distribution of scores is the average.
true
50% to 100%.
A Z score of 300 is an extremely large number as the z scores very rarely fall above 4 or below -4. About 0 percent of the scores fall above a z score of 300.
It is not possible to convert a raw score into a percentile without knowing the distribution of scores and key parameters of the distribution. Since none of this information is provided, it is not possible to give a sensible answer.
You can't do this without knowing the distribution of scores.
If a random variable X has a normal distribution with mean m and standard error s, then the z-score corresponding to the value X = x is (x - m)/s.