AP Psychology : Interpreting Results
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Example Questions
Example Question #21 : Interpreting Results
The following test scores were obtained by students in Mr. Verbino's math class:
What is the range of these test scores?
73
18
29
102
10
29
The range of a dataset can be found by taking the difference between the highest and lowest scores.
Example Question #22 : Interpreting Results
The following test scores were obtained by students in Mr. Verbino's math class:
Which of the following statements about the above dataset is true?
Most students scored above a 85 on the exam
The median is 82.5
The standard deviation is greater than 15
The mean and the median are the same, indicating a normal distribution of data
The mean is greater than the median
The mean is greater than the median
The mean (82.8) is greater than the median (81) because the very high score of 102 weighs more heavily in the mean calculation.
Example Question #21 : Interpreting Results
The _________ measures the average distance of a score from the mean in a distribution. This number increases as the spread of scores increases.
mode
range
median
mean
standard deviation
standard deviation
The standard deviation is a measure of variability, or the spread of scores. The standard deviation is the average distance of the score from the mean. This makes sense when considering the formula, which involves subtracting the mean from each score, squaring it, calculating the sum, dividing by the number of scores, and taking the square root. The range is also a measure of variability, but simply involves subtracting the smallest score from the largest score. The mean, median, and mode are all measures of central tendency. The mean is the average of all scores. The median is the center score in the distribution. The mode is the score that occurs most frequently.
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