Question

The scores on a test are normally distributed with a mean of 100 and a standard deviation of 10. what score values are 2 deviations below the mean

Answer 1

To find a score that is two standard deviations below the mean, subtract two times the standard deviation from the mean. For a mean of 100 and standard deviation of 10, this score would be 80.

Step-by-step explanation:

The student question is asking to find the score values that are two standard deviations below the mean on a normally distributed test with a given mean and standard deviation. In this case, the mean is 100 and the standard deviation is 10.

We can calculate the value that is two standard deviations below the mean by subtracting two times the standard deviation from the mean:

Mean - 2(Standard Deviation) = 100 - 2(10) = 100 - 20 = 80

Therefore, the score value that is two standard deviations below the mean is 80.