Given a mean of 100, and a standard deviation of 5.3, what is the Z-score for 130?

5.66038

Step-by-step explanation:

Given

Mean = μ=100

SD = σ=5.3

Z-score of 130=?

The z-score of any value tells us that how many standard deviations that value is from the average or mean.

The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.

z-score = (x - μ) / σ

z-score of 130 = (130-100) / 5.3

=30/5.3

=5.66038