巴朗AP心理学Barrons AP Psychology, 5th Edition-81-120
calculate the approximate percentage of scores falling between any given z scores. For instance,
approximately 47.5 percent (95/2) of scores fall between the z scores of 0 and +2 (see Fig. 2.2).
While z scores measure the distance of a score away from the mean, percentiles indicate the
distance of a score from 0. Someone who scores in the 90th percentile on a test has scored better than
90 percent of the people who took the test. Similarly, someone who scores at the 38th percentile
scored better than only 38 percent of the people who took the test. A clear relationship exists between
percentiles and z scores when dealing with the normal curve. Someone who scores at the 50th
percentile has a z score of 0, and someone who scores at the 98th percentile has an approximate z
score of +2.
Correlations
A correlation measures the relationship between two variables. As explained earlier, correlations can
be either positive or negative. If two things are positively correlated, the presence of one thing predicts
the presence of the other. In contrast, a negative correlation means that the presence of one thing
predicts the absence of the other. When no relationship exists between two things, no correlation
exists. As an example, one would suspect that a positive correlation exists between studying and
earning good grades. Conversely, one would suspect that a negative correlation might occur between
cutting classes and earning good grades. Finally, it is likely that there is no correlation between the
number of stuffed animals one owns and earning good grades.
Figure 2.2. The normal distribution.
Correlations may be either strong or weak. The str