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
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%.
-1.28
It is 1.281551
z = 1.281551
It is 68.3%
0.13
false
The mean of a distribution of scores is the average.
Grades are curved in academic institutions by adjusting scores to fit a predetermined distribution, often a bell curve. This means that the highest scores may receive an A, while lower scores are adjusted accordingly to maintain a balanced distribution of grades.
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.
(X-61)/10.2=.878 X = 69.95 approximately 70
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.