In a test with a mean of 100 and a standard deviation of 10, what is the standard deviation for a test score of 120

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Complete Question

In a test with a mean of 100 and a standard deviation of 10, what is the standard score for a test score of 120?

The standard score = 2

Step-by-step explanation:

The formula for Test (T) score is given as:

T score = zσ + μ

z = Standard or z score = ??

Standard deviation (σ) = 10

Mean (μ) = 100

Test score = 120

120 = 10z + 100

120 - 100 = 10z

20 = 10z

z = 20/10

z= 2

Therefore, the standard score = 2

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step-by-step explanation:

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a² + b²= c²

24² + 7² = c²

c= 25