Question

Suppose that the mean and standard deviation of the scores on the mathematics portion of the SAT are 512.44 and 50.396, respectively, for a given year. What range of scores (approximately) will include 95% of the students' scores?

Answer 1

The range of scores (approximately) that will include 95% of the students' scores on the mathematics portion of the SAT is 411.648 to 613.232.

Step-by-step explanation:

To calculate the range of scores that will include 95% of the students' scores, we need to find the values that are 2 standard deviations above and below the mean. Since we know that the mean score is 512.44 and the standard deviation is 50.396, we can calculate the lower bound: 512.44 - 2 * 50.396 = 411.648. And the upper bound: 512.44 + 2 * 50.396 = 613.232. Therefore, the range of scores (approximately) that will include 95% of the students' scores is 411.648 to 613.232.