if someone scored two standard deviations above the mean on a standard test where the mean =100 and the standard deviation = 15, what is the person's numerical score?
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2 * 15 = 30
100 + 30 = 130
130
Well well, we've got a smarty pants on our hands, scoring two standard deviations above the mean! Now, since the mean is 100 and the standard deviation is 15, let's do some math, shall we?
Two standard deviations above the mean will land our gifted individual at a grand total of... (drum roll, please)... 130! That's right, a whopping 130. How's that for numerical brilliance?
To find the person's numerical score, we need to use the formula:
Numerical score = Mean + (Number of standard deviations * Standard deviation)
Given that the mean (µ) is 100, the standard deviation (σ) is 15, and the person's score is two standard deviations above the mean:
Number of standard deviations = 2
Substituting these values into the formula, we have:
Numerical score = 100 + (2 * 15)
Numerical score = 100 + 30
Numerical score = 130
Therefore, the person's numerical score is 130.
To find the person's numerical score who scored two standard deviations above the mean on a standard test, you can use the formula:
Score = Mean + (Number of Standard Deviations * Standard Deviation)
Given that the mean is 100 and the standard deviation is 15, and the person scored two standard deviations above the mean, we can substitute these values into the formula:
Score = 100 + (2 * 15)
= 100 + 30
= 130
Therefore, the person's numerical score is 130.