Question

Can a z score be less than 10? (yes or no) and why?

Answer 1

Solution: Yes, z-score can be any value, it depends on the values of x, mean and standard deviation.

formula of z-score = (x - mean) / standard deviation

now if the difference between x and mean is far greater than the value of standard deviation then z-score value could be more.

The only impact of bigger value of z-score is on its probability, the values of probabilities of values of z-score more than 4 are almost 1. and on the other hand less than -4 are equivalent to 0.

Hence z-score can be any value.

Best Luck !