You are examining two data sets involving test scores, set A and set B. The score96appears in both data sets. In which of the following data sets does96represent a higher score? Explain.

(a) The percentile rank of96is higher in setBthan in setA.

96 represents a higher score in Set A because a larger percentage of scores fall below 96 in set A.

96 represents a higher score in Set B because a larger percentage of scores fall below 96 in set B.

96 represents an equivalent score in both sets because an equal percentage of scores fall below 96 in both sets.

It is impossible to tell in which set 96 represents a higher score because a percentage depends on the number of test scores in the set, which is unknown.

(b) The mean is90in both data sets, but setAhas a higher standard deviation.

96 represents a higher score in Set A because 96 is more standard deviations above the mean.

96 represents a higher score in Set B because 96 is more standard deviations above the mean.

96 represents an equivalent score in both sets because 96 is an equal number of standard deviations above the mean.

It is impossible to tell in which set 96 represents a higher score because the standard deviation only tells you the range of the data.