Question

The scores on a test are normally distributed with a mean of 100 and a standard deviation of 20. what is the score that is 1 2 standard deviation above the​ mean?

Answer 1

To calculate the score that is 1.5 standard deviations above the mean, with a mean of 100 and a standard deviation of 20, you multiply 1.5 by the standard deviation and add it to the mean, resulting in a score of 130.

Step-by-step explanation:

Finding the Score that is 1.5 Standard Deviations Above the Mean:

To find the score that is 1.5 standard deviations above the mean, we need to use the given mean and standard deviation. The mean score given is 100, and the standard deviation is 20. Calculating 1.5 standard deviations above the mean involves multiplying the standard deviation by 1.5 and adding the result to the mean:

Score = Mean + (1.5 × Standard Deviation)

Score = 100 + (1.5 × 20)

Score = 100 + 30

Score = 130

Therefore, the score that is 1.5 standard deviations above the mean is 130.