# Z-score for X = 490, μ = 500 & σ = 6 -1.6667 is the value of standard normal variate (Z or normalized score) of a member of distribution having the above parameter values. The complete work with step by step calculation to find normalized score for random variable X = 490, population mean μ = 500 and population standard deviation σ = 6 may helpful for grade school students, beginners or learners to know how to solve the similar normal score worksheet problems. Users may compare this standard score of -1.6667 with different scores to identify what are all the well and under performing members in the distribution by using this calculator.

## Work with Step by Step Calculation

The below workout with step by step work or calculation may help grade school students or learners to understand how to find what is the Z score for random variable X = 490, expected mean μ = 500 and population standard deviation σ = 6 to identify well or non-performing members of a distribution in statistical surveys or experiments.
Problem & Workout :
step 1 Address the input parameters and values
Member element X = 490
Mean expected μ = 500
Population standard deviation σ = 6

step 2 Substitute random variable, mean and standard deviation values in below Z-score formula
Zscore = (x - µ)/σ
= (490 - 500)/6
=-10/6
Zscore = -1.6667

-1.6667 is the Zscore for X = 490, μ = 500 & σ = 6 