STATISTICS The most familiar statistical measure is the arithmetic mean, or average. A second important statistical measure is t
he 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. 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. Use your equation to find the minimum score that is within one standard deviation of the mean
The absolute value equation for the scores within one standard deviation of the mean is:
|x - 20.9| = 5.3.
The minimum score that is within one standard deviation of the mean is of 15.6.
<h3>What is the absolute value function?</h3>
The absolute value function is defined by:
|x| = x, x >= 0.
|x| = x, x < 0.
It measures the distance of a point x to the origin of x = 0.
One standard deviation is of 5.3, while the mean is of 20.9, hence the absolute value equation for the scores within one standard deviation of the mean is:
xy=yx because either way, you would end with the same product. For example, if x was 3 and y was 2, you would have (3)(2)=(2)(3), giving you 6=6 which is, in fact, a true statement.
