Please show your math in the Z-score equation.
z = (x - μ) / σ
2 = (x - 72) /6
multiply both sides by 6
12 = x-72
add 72 to both sides
12+72 = x
x=84
z = (x-μ)/σ
x = μ+zσ
72+2(6) = 72+12 = 84
72 +6(2) = 90
Z = (X - mean)/SD
2 = (X - 72)/6
12 = X - 72
X = 84
Rule
Z = (X - mean)/(standard deviation)
Z score of 2 means 2 standard deviations above the mean.
Take the standard deviation, multiply it by 2 and add it to the mean.
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Answers & Comments
z = (x - μ) / σ
2 = (x - 72) /6
multiply both sides by 6
12 = x-72
add 72 to both sides
12+72 = x
x=84
z = (x-μ)/σ
x = μ+zσ
72+2(6) = 72+12 = 84
72 +6(2) = 90
Z = (X - mean)/SD
2 = (X - 72)/6
12 = X - 72
X = 84
Rule
Z = (X - mean)/(standard deviation)
Z score of 2 means 2 standard deviations above the mean.
Take the standard deviation, multiply it by 2 and add it to the mean.