21. STATISTICS The most familiar statistical measure is the arithmetic mean, or average. A second important statistical measure is the standard deviation, which is a measure of how far the data
are from the mean. For example, the mean score on the Wechsler IQ test is 100 and the
standard deviation is 15. This means that people within one standard deviation of the mean
have IQ scores that are 15 points higher or lower than the mean.
a. One year, the mean mathematics score on the ACT test was 20.9 with a standard deviation of
5.3. Write an absolute value equation to find the maximum and minimum scores within one
standard deviation of the mean.
b. What is the range of ACT mathematics scores within one standard deviation of the mean?