f someone scored two Standard Deviations above the Mean on a standardized test where the Mean = 100 and the Standard Deviation = 15, then that person’s numerical score would be…?
A. 125
B. 130
C. 160
D. 90th Percentile
Mean = 100
One standard deviation above the mean = 15
Two standard deviations above the mean = 15 + 15 = 30
Therefore: 100 + 30 = 130
To determine the person's numerical score, we can use the formula:
Numerical Score = Mean + (Number of Standard Deviations * Standard Deviation)
Given that the Mean is 100 and the Standard Deviation is 15, the person's numerical score would be:
Numerical Score = 100 + (2 * 15)
Numerical Score = 100 + 30
Numerical Score = 130
Therefore, the person's numerical score would be 130.
So, the correct answer is B. 130
To find the numerical score of someone who scored two standard deviations above the mean on a standardized test, we need to first calculate the value of two standard deviations and then add it to the mean.
Step 1: Find the value of two standard deviations.
Given: Standard Deviation = 15
Two standard deviations = 2 * 15 = 30
Step 2: Add the value of two standard deviations to the mean.
Given: Mean = 100
Numerical score = Mean + Two standard deviations = 100 + 30 = 130
Therefore, the numerical score of someone who scored two standard deviations above the mean is 130.
Hence, the correct answer is B. 130.